Series solved with increasingly advanced mathematics MindYourDecisions 2023-12-04 | What is the sum of the infinite series n squared divided by 2 to the n? I present 3 different solutions!@FuoChEsplode alerted me to a typo around 2:20 where I skipped the 16 denominator by mistake. Re-upload coming with correction.0:00 problem0:42 important step1:35 high school3:16 college7:04 genius levelQuora answers by Trevor, Aryan Arora, Alexey Godinquora.com/How-do-you-evaluate-the-sum-of-n-2-2-n-from-n-1-to-infinityConvergencesocratic.org/questions/how-do-you-test-the-series-sigma-n-2-2-n-from-n-is-0-oo-for-convergenceSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Can You Solve The Four 9s Puzzle? MindYourDecisions 2024-04-01 | Can you make 100 from four 9s using common mathematical operations? How many solutions can you find? Special thanks this month to: Lee Redden, Mike Robertson, Daniel Lewis, Kyle. Thanks to all supporters on Patreon! http://www.patreon.com/mindyourdecisions0:00 puzzle1:42 brainstorming3:31 main solution4:16 simple5:59 trig9:44 clever10:19 geniuscommunity postyoutube.com/post/UgkxpWRMaoZRfhzoQXDDMQu3k64Ka3KmkCdfSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
2 nice geometry puzzles MindYourDecisions 2024-03-27 | Can you solve these interesting questions?0:00 problems1:39 solution 16:00 solution 2Problem 1 different solution by @AndyMath youtube.com/watch?v=VMiS7G8xqQsProblem 2twitter.com/sonukg4india/status/1730904461449785733Subscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Can you figure out Lilas age? MindYourDecisions 2024-03-21 | Lila’s age is the sum of the digits of her math teacher’s age. (Both have already had their birthdays this year.) In 5 years, Lila’s age will be the product of the digits of her math teacher’s age at that time. How old is Lila now? The teacher’s age is a two-digit number. Thanks PugganBacklund and Tony Hasler for alerting me of a misspeak typo in a previous version!0:00 problem0:44 solution6:09 numericalSolution from Algebra.comalgebra.com/algebra/homework/word/age/Age_Word_Problems.faq.question.1134437.htmlSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Two Seemingly Impossible Problems! MindYourDecisions 2024-03-13 | Can you figure out these puzzles which at first seem unsolvable? Thanks Vladi and Alec for the suggestions! If you know the original source of problem 1 do let us know.0:00 problems2:13 solution 15:19 solution 2Problem 2twitter.com/Cshearer41/status/1353305188422053889Jane Miller solutiontwitter.com/JEM800/status/1353321938966482945Subscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
A simple logic puzzle stumps ChatGPT and Google AI! Can you solve it? MindYourDecisions 2024-03-07 | The world's best AI cannot solve this simple question! Can you figure it out? Four glasses are in a row face up. What's the minimum number of moves to make them down, if you have to invert 3 glasses at a time? What if you have n glasses and you have to invert n - 1 glasses at a time? Special thanks this month to: Mike Robertson, Daniel Lewis, Kyle, Lee Redden. Thanks to all supporters on Patreon! http://www.patreon.com/mindyourdecisions0:00 problems1:23 solution6:08 general 110:49 general 2UKMTtwitter.com/UKMathsTrust/status/1698954285327712365Puzzling StackExchange solution by Caleb Stanfordpuzzling.stackexchange.com/questions/47105/6-water-glasses-upside-downSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Solving a legendary puzzle MindYourDecisions 2024-02-25 | Put the numbers 1 to 9 in the nine boxes by using each digit once. Using a letter to represent a digit in each box, the puzzle is ab * c = de + fg = hi.0:00 problem0:50 starting2:27 10s9:03 answer9:33 10s more14:08 20s17:06 30s20:03 40s22:00 summaryBrainlyhttps://brainly.in/question/16558729Subscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Two nice series from India and Morocco MindYourDecisions 2024-02-18 | Can you solve these fun problems? Problem 1, thanks to Kanad for the suggestion!0:00 problems1:31 solution 14:36 solution 2Problem 1 BYJU'sbyjus.com/question-answer/if-f-x-4-x-4-x-2-then-f-1-97-f-2-97-f-96-97-is-equal-toProblem 2 Tahiri Math Science Online Teaching@tahirimathscienceonlinetea4273 youtu.be/1wqDe1M9_W0Subscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Can you solve for the area? MindYourDecisions 2024-02-11 | Problem 1: What is the area of the inscribed square to the right triangle? Problem 2: there are 4 triangles whose side lengths are given, and the areas of 3 triangles are known. What is the area of the 4th triangle? Thanks to Nifty who received the problem from Aditya!0:00 problems1:24 solution 14:00 solution 2Math StackExchangemath.stackexchange.com/questions/4780995/is-this-even-solvable-area-of-4th-triangle-given-3-areasSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
2 nice logic puzzles - spy, liar, truthteller and chocolate wrappers MindYourDecisions 2024-02-04 | Alice, Bob, Charlie are one of spy, truth-teller, and liar. Each one makes a statement and you have to determine which one Charlie is. Problem 2 is: Charlie has $1000. Each chocolate bar costs $1, but he can get a free chocolate for every 4 wrappers. How many chocolate bars can Charlie get? Special thanks this month to: Daniel Lewis, Kyle, Lee Redden, Mike Robertson. Thanks to all supporters on Patreon! http://www.patreon.com/mindyourdecisions0:00 problems1:31 solution 14:00 solution 2Puzzling StackExchangeProblem 1puzzling.stackexchange.com/questions/60009/the-knight-never-lies-the-knave-always-lies-and-the-spy-either-lies-or-tells-tProblem 2puzzling.stackexchange.com/questions/17342/chocolate-challengeSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Can you solve these viral puzzles? MindYourDecisions 2024-01-31 | Thanks to John for the suggestion! These puzzles have gotten millions and millions of views on social media.Cat puzzletwitter.com/cat_auras/status/1708927459507200383Corn puzzlemirror.co.uk/news/weird-news/maths-question-brain-test-hard-31563880Subscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
What is the total area of ABC? You should be able to solve this! MindYourDecisions 2024-01-26 | Triangle ABC is divided into 6 smaller triangles, of which 4 areas are given. What is the area of the entire triangle? Special thanks this month to: Daniel Lewis, Kyle, Lee Redden, Mike Robertson. Thanks to all supporters on Patreon! http://www.patreon.com/mindyourdecisionsArea of triangleen.wikipedia.org/wiki/Area_of_a_triangleTopprtoppr.com/ask/question/as-shown-in-the-given-figure-deltaabc-is-divided-into-six-smaller-triangles-by-linesSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Solving 2 questions from the worlds hardest exams MindYourDecisions 2023-12-15 | Thanks to Sanket for suggesting problem 1! It is adapted from the JEE Mains 2022 test in India. Problem 2 is from the 1986 Putnam competition, A2.0:00 problems0:58 solution 1a4:10 solution 1b6:50 solution 2Problem 1Brainlyhttps://brainly.in/question/55364464Sarthakssarthaks.com/3443400/the-remainder-when-2023-2023-is-divided-by-35-isStackExchangemath.stackexchange.com/questions/4668677/remainder-when-20232023-is-divided-by-35Problem 2John Scholes Putnam problemshttps://prase.cz/kalva/putnam/psoln/psol862.htmlStackExchangemath.stackexchange.com/questions/294400/rightmost-digit-of-left-lfloor-frac1020000101003-right-rfloorYouTube vidsyoutu.be/3eT5OKPOVvE?si=phkyzREdiHX3AbMkyoutube.com/watch?v=Phf8QyAXop8youtube.com/watch?v=m7Wq33Q9hJ8youtube.com/watch?v=3eT5OKPOVvESubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Can you solve the 4 foods puzzle? MindYourDecisions 2023-12-13 | Thanks to James W. for the suggestion! At an amusement park, 65% of visitors ate a donut, 80% ate a soft pretzel, 80% ate pizza, and 90% ate ice cream. What is the minimum percentage of visitors that ate all 4 foods?100 soldiers riddle Math StackExchangemath.stackexchange.com/questions/102598/100-soldiers-riddleSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Can you solve this first grade homework problem? MindYourDecisions 2023-12-11 | How would you answer this?0:00 problem1:27 silver3:17 poll4:09 friend4:51 egg5:20 toothbrush5:47 deskToday.com via Yahoo newsnews.yahoo.com/mom-stumped-1st-graders-homework-023732843.htmlLLM picturecommons.wikimedia.org/wiki/File:Multiple_attention_heads.pngDancingPhilosopher, CC BY-SA 4.0 via Wikimedia CommonsPollyoutube.com/post/UgkxnpXa_kaR1A8_MliOTY-ZqdhY1klr4WYTTriangular numberen.wikipedia.org/wiki/Triangular_numberSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Viral question from China MindYourDecisions 2023-12-09 | This was shared as a primary school question in China, which I gather is at most year 6 and students aged 11-12 years old. Can you solve it? Thanks Blake for the suggestion!Subscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Can you solve for the lengths in these 3 puzzles? MindYourDecisions 2023-12-07 | Thanks to Ismot from Bangladesh and Michal from the Czech Republic for the suggestions! These are 3 interesting questions about finding the length.0:00 problems2:26 solution 14:31 solution 26:14 solution 3Subscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Can you solve the water glass and wine bottle riddles? MindYourDecisions 2023-12-05 | These are a couple of interesting puzzles. Can you solve them?0:00 problems2:10 solution 13:38 solution 2a8:04 solution 2bWater glass riddle on social media(If you know the original author please let me know)twitter.com/Math_World_/status/1660167837942423560blaiselockhart.medium.com/how-tall-is-the-glass-e266e7ead74d601254Alex Bellos Guardian Whiskey Puzzletheguardian.com/science/2017/jan/16/did-you-solve-it-the-whisky-puzzle-that-will-have-you-on-the-rockstheguardian.com/science/2017/jan/16/can-you-solve-it-the-whisky-puzzle-that-will-have-you-on-the-rocksSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Series solved with increasingly advanced mathematics MindYourDecisions 2023-12-04 | What is the sum of the infinite series n squared divided by 2 to the n? I present 3 different solutions!Yes this is a re-upload. @Marco12388 alerted me to a typo in the original upload around 2:20 where I skipped the 16 denominator by mistake. Original video: youtu.be/gBLf0o6nzMQ0:00 problem0:42 important step1:35 high school3:16 college7:03 genius levelQuora answers by Trevor, Aryan Arora, Alexey Godinquora.com/How-do-you-evaluate-the-sum-of-n-2-2-n-from-n-1-to-infinityConvergencesocratic.org/questions/how-do-you-test-the-series-sigma-n-2-2-n-from-n-is-0-oo-for-convergenceSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Can you find the areas? Cambridge entrance exam and UKMT problem MindYourDecisions 2023-12-03 | Thanks to Rafael for suggesting problem 1! Thanks to McKenzie from the UK for suggesting problem 2! Problem 1 is from the UKMT IMC 2023 Q21. Problem 2 is adapted from a 1987 STEP paper, which is a test used for admission into various universities including Cambridge and the University of Warwick.0:00 problems3:26 solution 15:26 solution 2Problem 1 UKMT IMC, 2023, Q21ukmt.org.uk/wp-content/uploads/2023/08/IMC_2023_Paper-1.pdfProblem 2 referencesStephen Siklos, Advanced Problems in Mathematics: Preparing for University. Cambridge, UK: Open Book Publishers, 2015. CC BY 4.0books.openbookpublishers.com/10.11647/obp.0075/Chapters/P6.html50 Pence coinen.wikipedia.org/wiki/Fifty_pence_(British_coin)Bristol Postbristolpost.co.uk/news/bristol-news/history-50p-bristol-invention-pocket-3595865Reuleaux polygonen.wikipedia.org/wiki/Reuleaux_polygonCC By 3.0en.wikipedia.org/wiki/Reuleaux_triangle#/media/File:Reuleaux_polygons.svgHow to pronounce Franz Reuleaux in Germanyoutu.be/jpoDzLhNeto?si=u1WU_O9UxfD7R4nCScience behind 50p shaperoyalmint.com/discover/the-50-year-anniversary-of-the-50-pence-piece/the-science-behind-the-shape-of-the-50pSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
The Christmas equation MindYourDecisions 2023-12-01 | This equation has a secret meaningSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Can you solve these counting problems? MindYourDecisions 2023-12-01 | There are 100 players in a single elimination tournament. How many matches need to be played? Three sets have their union as the integers from 1 to 10, and their intersection is the empty set. How many such sets are possible? Special thanks this month to: Mike Robertson, Daniel Lewis, Kyle, Lee Redden. Thanks to all supporters on Patreon! http://www.patreon.com/mindyourdecisions0:00 problems2:25 solution 15:18 solution 2Problem 1The College Pandathecollegepanda.com/12-tricky-sat-math-questionsBrainlybrainly.com/question/13082487AoPS 2023 AMC 10B, P15artofproblemsolving.com/wiki/index.php/2003_AMC_10B_Problems/Problem_15Problem 21985 Putnam A1https://prase.cz/kalva/putnam/psoln/psol851.htmlTwittertwitter.com/BannedIran/status/1416592272699842564/photo/11985 Putnamkskedlaya.org/putnam-archive/1985.pdfMath StackExchangemath.stackexchange.com/questions/1190662/1985-putnam-a1-solution1985 Putnam solutionshttps://math.berkeley.edu/~giventh/19109_85s.pdfMore Putnam videos--------------------------------------1968 Putnam exam A1 An integral that implies pi is less than 22/7youtu.be/MFnOaaXwOJk2004 Putnam A1If your free throw percentage is below 75%, and later is above 75%, is there necessarily a point where it is exactly 75%?youtu.be/vqpWwgpDs581978 Putnam B1A convex octagon inscribed in a circle has four consecutive sides of length 3 and four consecutive sides of length 2. Find the area of the octagon.youtu.be/3Ze-59CxFbE1994 Putnam A2Finding the area of a sector of an ellipseyoutu.be/fNlr1z_kNlc1989 Putnam A4For an irrational number &alpha between 0 and 1, is there a finite game with an unbiased coin such that the probability of one player winning the game is α?youtu.be/lORQ_wt2MZYSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Viral question - solve this for the ATM cards PIN code MindYourDecisions 2023-11-29 | A joke note offers use of an ATM card, but only if you can can solve an impossibly hard integral.0:00 problem0:53 solution5:33 numericalMath StackExchange Claude Leibovicimath.stackexchange.com/questions/2814179/how-to-integrate-the-product-of-two-or-more-polynomials-raised-to-some-powers-nEuler substitutionen.wikipedia.org/wiki/Euler_substitutionReimann sumen.wikipedia.org/wiki/Riemann_sumMidpoint rulecommons.wikimedia.org/wiki/File:Riemann_sum_(middlebox).gif09glasgow09, CC BY-SA 3.0 , via Wikimedia Commonssolution @NathMathTutoringyoutube.com/watch?v=F9ZJya5DK5w&feature=youtu.beQuoraquora.com/How-do-I-integrate-dfrac-3x-3-x-2-2x-4-sqrt-x-2-3x-2-dxDaily Maildailymail.co.uk/femail/article-6406177/Note-offers-use-ATM-card-youll-solve-math-equation-first.htmlSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
How many corners does a semi-circle have? MindYourDecisions 2023-11-25 | Most people think it can be 0, 2, or infinite. But I think 3 corners is a perfectly acceptable answer too.0:00 question1:30 preliminaries4:18 answers 0 or 25:16 infinite6:37 answer is 3Mark Tighe Sunday Independent reportertwitter.com/MarkLTighe/status/1726637186957926802newshttps://www.limerickleader.ie/news/national-news/1353256/irish-parents-divided-over-teacher-s-ruling-on-answer-to-this-kid-s-maths-question.htmlpollyoutube.com/post/UgkxL3J_k11IT6Z9dOAS3k1LoYsDcuW0ZYAePenrose trianglecommons.wikimedia.org/wiki/File:Penrose-triangle-4color-rotation.gifTomruen, CC BY-SA 4.0All models are wrong, but some are useful, George Boxjamesclear.com/all-models-are-wrongen.wikipedia.org/wiki/All_models_are_wrongcurved spacecommons.wikimedia.org/wiki/File:End_of_universe.jpgideal vs real gascommons.wikimedia.org/wiki/File:Compressibility_factor_for_Wikipedia.jpgBlyumJ, CC BY-SA 4.0vertexen.wikipedia.org/wiki/Vertex_(geometry)Adobehelpx.adobe.com/illustrator/using/artwork-essentials/paths-and-shapes.htmlSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Math problem from Peanuts comic strip MindYourDecisions 2023-11-23 | Thanks to Brandon for the suggestion! This is a nice little problem. Can you solve it?0:00 problem0:59 numerical4:40 algebraPeanuts comic February 21, 2000gocomics.com/peanuts/2000/02/21Subscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Can you solve it? ABCDE x 4 = EDCBA logic test MindYourDecisions 2023-11-22 | Here's a nice logical puzzle. If ABCDE times 4 equals EDCBA, and each letter is a different digit from 0 to 9. What is the value of each letter? Thanks to Tyler and Amit for suggestion! Thanks Rolan for alerting of a typo in an earlier version!0:00 puzzle0:40 solution6:00 computationweb2.0calcweb2.0calc.com/questions/if-abcde-x-4-edcba-what-is-the-number-abcde-as-usualAGF Tutoringagftutoring.com/abcde-4-edcbaSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
3 Puzzles About Circles And Rectangles! MindYourDecisions 2023-11-21 | Can you solve these problems? A coin rolls on the inside of the square. Two circles divide a rectangle. A circle is shown with 4 squares and 3 areas are known.This is a re-upload. Thanks to @FerdiLouw for finding a typo in the answer to the 3rd problem! I incorrectly wrote 205/4 = 50.25 instead of 51.25.0:00 problems1:50 solution 13:30 solution 25:35 solution 3Problem 1 Australian Math Competition (sent by email)Problem 2 Math Kangaroo 2022, Q30, Level Student, Grades 11-13Problem 3 power chordstwitter.com/cshearer41/status/1030405543255592960?lang=ensolutiontwitter.com/jldavilaa01/status/1030409264911863808other solutionsmath.stackexchange.com/questions/3601104/what-is-area-of-circle-given-areas-of-4-squaresmathematrec.wordpress.com/2018/10/13/power-chordsSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
How to solve this? MindYourDecisions 2023-11-20 | The equation x to the power of x^8 is equal to 8 is pretty interesting. 0:00 problem0:35 exponents1:43 numerical3:58 attempt 16:35 trick7:29 solution8:35 generalReddit AskMathreddit.com/r/askmath/comments/17s5s97/my_friend_posted_this_and_i_really_wanna_know_howExcel goal seek idea u/StL_TrueBlue91reddit.com/r/askmath/comments/17s5s97/comment/k8p7eeqPower tower imageen.wikipedia.org/wiki/File:Infinite_power_tower.svgRicHard-59, CC BY-SA 3.0Subscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
2 problems about absolute values MindYourDecisions 2023-11-19 | Let's see how to solve these questions. 0:00 problems1:06 solution 15:35 solution 2Problem 1 Jaireet Chahaltwitter.com/ChahalJaireet/status/1691638659542319359Problem 2 AoPS 2011 AMC 10B, Problem 19artofproblemsolving.com/wiki/index.php/2011_AMC_10B_Problems/Problem_19Subscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Can you crack these 2 logical puzzles? MindYourDecisions 2023-11-15 | In one problem, you need to solve for the 4 digit code, and you know some clues. In the second, two logicians are asking questions to figure out the other person's number. Can you figure it out?0:00 problems1:51 solution 15:06 solution 2Problem 1 Puzzle A Daypuzzleaday.wordpress.com/2020/06/18/can-you-crack-the-locks-codeProblem 1 Sharp Your Mathsyoutube.com/watch?v=QWGKEwT-cigProblem 2 Reddit Riddlesreddit.com/r/riddles/comments/d6w1sp/help_with_this_one_number_logicSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
A company posted this interesting question. Can you solve it? MindYourDecisions 2023-11-12 | If two points are picked at random uniformly along the border of a square, what's the probability the distance between them is larger than the side length of the square?0:00 problem0:58 simulation2:17 solutionReddit Askmathreddit.com/r/askmath/comments/14t49sd/trivia_question_about_probabilitySubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
3 problems to find the shaded area MindYourDecisions 2023-11-09 | This video covers 3 interesting questions! The first problem is the area between a square and a rhombus. The second is a triangle from the corners of 3 squares. The third is the resulting area of folding a piece of paper into a paper airplane type shape.0:00 problems2:54 solution 15:10 solution 27:03 solution 3problem 1 reference @Standupmathsmks youtu.be/gCaDguHz7HwSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Solving two hard exponential equations MindYourDecisions 2023-11-06 | This video solves 9^x + 12^x = 16^x and (8^x - 2^x)/(6^x - 3^x) = 2 for real values of x.0:00 problems0:58 solution 14:24 solution 2Similar to problem 1 on Socraticsocratic.org/questions/how-do-you-solve-6-x-4-x-9-xProblem 2 @MathBooster video integer solutionsyoutube.com/watch?v=X3OiHW98QTEProblem 2 Math StackExchangemath.stackexchange.com/questions/4699669/frac8x-2x6x-3x-2-solve-for-xProblem 2 strictly convexmath.stackexchange.com/questions/2112108/prove-a-convex-and-concave-function-can-have-at-most-2-solutionsSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Endless chocolate! MindYourDecisions 2023-11-05 | This infinite chocolate or endless chocolate lifehack is based on the famous missing square puzzle ;)en.wikipedia.org/wiki/Missing_square_puzzleSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Calculating i to the power i the right way. Why every proof you have seen is wrong MindYourDecisions 2023-11-03 | The imaginary number i is equal to the square root of negative 1. But i^i is a real number, approximately equal to 0.208. Why is this true? It is an incredibly tricky calculation if you want to justify the steps properly. All of the videos I've seen on i^i use an unjustified step, including mine. So what is the proper way to calculate i to the power of i? Special thanks this month to: Daniel Lewis, Kyle, Lee Redden, Mike Robertson. Thanks to all supporters on Patreon! http://www.patreon.com/mindyourdecisions0:00 calculation2:11 complex numbers3:30 "proof" 16:21 "proof" 28:20 complex exp9:12 complex log12:32 the right wayWolframAlphawolframalpha.com/input?i=i%5EiMath StackExchangemath.stackexchange.com/questions/191572/prove-that-ii-is-a-real-numbermath.stackexchange.com/questions/1347504/for-which-complex-a-b-c-does-abc-abc-holdmath.stackexchange.com/questions/1495532/when-is-abc-abc-true/1495550math.stackexchange.com/questions/1347504/for-which-complex-a-b-c-does-abc-abc-holden.wikipedia.org/wiki/Principal_valueComplex Variables and Applications, James Ward Brown, Ruel V. Churchill, 7th edition, Chapter 1 Section 8, Roots of Complex NumbersThe complex logarithm, exponential and power functions, Professor Howard Haberhttps://scipp.ucsc.edu/~haber/ph116A/clog_11.pdfSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Can you solve for the shaded areas? 3 great puzzles MindYourDecisions 2023-10-31 | These are 3 interesting questions. How many can you solve?0:00 problems2:35 solution 14:03 solution 26:15 solution 3Problem 1 Math StackExchangemath.stackexchange.com/questions/2334447/area-of-intersection-of-three-circlesProblem 2 AoPSartofproblemsolving.com/wiki/index.php/2020_AMC_10B_Problems/Problem_14Subscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
The answers are so surprising you wont believe them, even after seeing the calculations MindYourDecisions 2023-10-27 | A shuffled deck has cards turned up until the 1st ace appears. What is more likely: the 2 of clubs or Ace of spades? Problem 2: If a deck is randomly shuffled, how many cards do you expect to be in the same position as before it was shuffled?0:00 problems1:19 solution 15:32 solution 2Problem 1Math152math152.wordpress.com/2008/11/17/ace-of-spades-or-2-of-clubsRedditreddit.com/r/HomeworkHelp/comments/147seb0/high_school_maths_probability_need_helpMath StackExchangemath.stackexchange.com/questions/1380974/probability-of-the-card-following-first-ace-being-ace-of-spades-or-two-of-clubsShuffling factshttps://math.hmc.edu/funfacts/making-history-by-card-shuffling/Subscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Dont panic. There are two basic strategies to solve questions like this MindYourDecisions 2023-10-26 | Questions like these are common on the JEE Mains, which is one of the standardized tests in India. Thanks to Sounak for the suggestion! I share 2 problems related to a known value for x + 1/x.0:00 questions0:51 solution 12:10 solution 2a5:36 solution 2bSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
A delightful question solved in 2 surprising ways MindYourDecisions 2023-10-24 | Thanks to Naman for the suggestion! A point P is selected uniformly from the interior of a square ABCD. What is the probability the angle APD is an obtuse angle? Correction at 2:07 the sum of angles in a triangle is 180 degrees.0:00 Problem1:03 Method 14:43 Method 2quora.com/ABCD-is-a-square-Point-P-is-inside-the-square-What-is-the-probability-that-the-angle-APB-is-obtusemathalino.com/reviewer/algebra/probability-point-inside-square-will-subtend-obtuse-angle-adjacent-corners-squareSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Length of Elastic Band? MindYourDecisions 2023-10-22 | This nice geometry question is good practice for students taking the GCSE in England. Can you figure it out?Reddit GCSEreddit.com/r/GCSE/comments/yruczc/keeping_the_people_maths_ready/?rdt=58417Previous video I did on similar questionyoutu.be/PziKimOJ7YgSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Question 16c from this years HSC exam is making news headlines MindYourDecisions 2023-10-20 | The last question of the HSC exam for Year 12s is famous for its difficulty. Let's work it out.Sydney Morning Heraldhttps://www.smh.com.au/national/nsw/not-seen-a-question-like-it-the-most-difficult-problem-in-this-year-s-hsc-20231016-p5ecms.htmlNews.com.auhttps://www.news.com.au/lifestyle/parenting/school-life/sadistic-hsc-extension-2-maths-question-thats-too-hard-to-solve/news-story/16e1e8eafa486ac15fbf67fa8ffbc2a1Daily Maildailymail.co.uk/news/article-12639587/HSC-hardest-math-question.htmlSydney Morning Herald TikTok solutiontiktok.com/@sydneymorningherald/video/72908086273702167052023 HSC Mathematics Extension II Question 16 c)@moksifu youtube.com/watch?v=H2VpGEnVOh8HSC Maths Extension 2https://www.educationstandards.nsw.edu.au/wps/wcm/connect/68f33479-ba22-4c98-bca9-455a6f69fec7/2023-hsc-maths-ext-2.pdf?MOD=AJPERES&CACHEID=ROOTWORKSPACE-68f33479-ba22-4c98-bca9-455a6f69fec7-oJ0sHEMSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Can You Solve The 4 Hats Logic Puzzle? MindYourDecisions 2023-10-19 | Four friends claim they have been wrongly imprisoned. They are not criminals but mere harmless logicians! The warden says, "If you are in fact logicians I will set you free. But first you have to prove it to me." Can they work it out?I have seen this puzzle shared in many places. I based my graphic on a widely circulated graphic but I have been unable to determine the original source–if you know it please let me know. The links below are examples of how the puzzle has been shared.puzzling.stackexchange.com/questions/11557/who-will-shout-firstpuzzling.stackexchange.com/questions/1980/four-prisoners-wearing-black-and-white-hatsSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Solving an impossibly difficult problem that stumped everyone MindYourDecisions 2023-10-18 | This was posted to Reddit AskMath with the title that nobody could solve this problem at the person's school. Can you figure it out?reddit.com/r/askmath/comments/13rgbsy/nobody_could_solve_this_problem_at_my_school_soSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
How to solve this crazy hard question MindYourDecisions 2023-10-17 | This is a fun one! The roots of 2x^2 – x + k = 0 are sin θ and cos θ. What is the value of k?0:00 Problem0:32 Method 13:13 Method 2Redditreddit.com/r/Sat/comments/91km3h/sat_math_2_how_to_solve_this_crazy_hard_questionSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Clever tricks to find the larger number MindYourDecisions 2023-10-16 | Thanks to Vicente for the suggestion! This is from the 2021 Chile Math Olympiad and the video shows two solutions.Thanks to @corvididaecorax2991 for alerting me of a stray typo! I corrected the video and have reposted it.youtube.com/watch?v=eFXvZ1_XJmE&lc=UgxcRayU4PlDdQ9Ows14AaABAg0:00 problem0:40 method 12:35 method 23:46 generalQuoraquora.com/Which-one-is-greater-50-99-or-99-50-and-whySubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Why every year is cursed with Friday the 13th MindYourDecisions 2023-10-15 | Some 20 million Americans fear this day and date, making it the most feared day in history. Unfortunately this has to be a yearly occurrence, and we prove this with some simple number theory. On the plus side, the most it can happen in a year is 3 times.Wikipediaen.wikipedia.org/wiki/Friday_the_13thTime and Datetimeanddate.com/calendar/weekday-friday-13?ext=1Brain Easerbraineaser.com/brainteasers/how-many-friday-the-13th-in-a-yearSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Solving an impossible integral nearly instantly MindYourDecisions 2023-10-14 | The Putnam competition is legendary for having challenging questions. But this integral from the 1980 test can be solved in seconds with a simple technique.Putnam 1980, A3 unofficial solutionhttps://prase.cz/kalva/putnam/psoln/psol803.htmlSolve Integrals In Just Seconds! (JEE Mains)youtu.be/BfZObnTIsYkMore Putnam videos--------------------------------------1968 Putnam exam A1 An integral that implies pi is less than 22/7youtu.be/MFnOaaXwOJk2004 Putnam A1If your free throw percentage is below 75%, and later is above 75%, is there necessarily a point where it is exactly 75%?youtu.be/vqpWwgpDs581978 Putnam B1A convex octagon inscribed in a circle has four consecutive sides of length 3 and four consecutive sides of length 2. Find the area of the octagon.youtu.be/3Ze-59CxFbE1994 Putnam A2Finding the area of a sector of an ellipseyoutu.be/fNlr1z_kNlc1989 Putnam A4For an irrational number &alpha between 0 and 1, is there a finite game with an unbiased coin such that the probability of one player winning the game is α?youtu.be/lORQ_wt2MZYSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Help me settle an argument. What is 8 divided by 2 times 4? MindYourDecisions 2023-10-13 | Many people get confused by the order of operations, so let's work out the correct answer! #pemdas #orderofoperations #bodmas #bidmas0:00 problem0:48 answer2:48 or is it?4:40 poll5:30 ambiguous?6:04 computersGooglegoogle.com/search?q=8%C3%B72%C3%974WolframAlphawolframalpha.com/input?i=8%C3%B72%C3%974Lennes, N. J. “Discussions: Relating to the Order of Operations in Algebra.” The American Mathematical Monthly 24.2 (1917): 93-95. Web. http://www.jstor.org/stable/2972726?seq=1#page_scan_tab_contents1969 Textbook Mathematics for Management and Finance, with Basic and Modern Algebra 2nd Ed., Stephen P. Shao, Ph. D. Professor of Management and Statistics, School of Business Administration, Old Dominion University.Poll done on YouTubeyoutube.com/post/UgkxxVHO_JB3jirxsOgfyHEOxOku09m56MXISubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Scientists Just Proved Coin Tosses Are Flawed Using 350,757 Coin Flips MindYourDecisions 2023-10-12 | Everything you knew about coin flipping is wrong.In 2007 a paper by Diaconis-Holmes-Montgomery developed a theoretical model of coin flipping and suggested human coin flipping results in a bias towards showing the same side. Just now, researchers conducted perhaps the largest coin flipping experiment in history by flipping coins 350,757 times and they confirmed this bias exists.Fair coins tend to land on the same side they started: Evidence from 350,757 Flipsarxiv.org/abs/2310.04153Images Creative Commons BY or public domaingoogle.com/search?q=flip+a+coinen.wikipedia.org/wiki/Wright_brothers#/media/File:Wright_First_Flight_1903Dec17_(full_restore_115).jpgcommons.wikimedia.org/wiki/File:BradmanAllenToss.jpgcommons.wikimedia.org/wiki/File:Coin_toss_at_Super_Bowl_43_1.jpgDiaconis, Persi, Susan Holmes, and Richard Montgomery. "Dynamical bias in the coin toss." SIAM review 49.2 (2007): 211-235.https://statweb.stanford.edu/~cgates/PERSI/papers/dyn_coin_07.pdfams.org/publicoutreach/math-history/hap7-fifty-one-percent.pdfen.m.wikipedia.org/wiki/File:Hand-tossed_pizza.jpgen.wikipedia.org/wiki/Coin_flipping#/media/File:Coin_Toss_(3635981474).jpgen.wikipedia.org/wiki/Washington_quarter#/media/File:Washington_Quarter_Silver_1944S_Reverse.pngen.wikipedia.org/wiki/Washington_quarter#/media/File:1776_Washington_Before_Boston_Comitia_Americana_Second_Restrike_(Baker-48G)_(obv).jpgNews coveragepopularmechanics.com/science/math/a45496407/coin-tosses-have-a-biasboingboing.net/2023/10/10/coin-toss-not-so-random-after-all-says-groundbreaking-study.htmliflscience.com/coin-tosses-are-not-5050-scientists-toss-350757-coins-and-prove-old-theory-71047Subscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
This question is actually impossible MindYourDecisions 2023-10-10 | This problem seems like it is solvable, but it is actually an impossible problem. Can you figure out what is wrong with the question?SEAB release on error in 2005 PSLE Q13https://www.seab.gov.sg/content/pressReleases/SEAB_Press_Release_(11Oct2005)PSLE_Maths.pdfwikinewsen.wikinews.org/wiki/Singapore_Exam_Board_sets_mathematically_impossible_questionSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
Solving an incredibly difficult question from Turkey MindYourDecisions 2023-10-09 | Thanks to Alp for the suggestion! This question is adapted and translated from a Turkish University Entrance Exam. The first step is the Basic Proficiency Test (TYT) which about 3 million students aged around 18 years take. Then there are Field Proficiency Tests (AYT) in Turkish language and literature, social sciences, mathematics, and science. About 2 million students take this. The AYT can be quite challenging.Turkey Student Selection and Placement Systemen.wikipedia.org/wiki/Student_Selection_and_Placement_System2021 AYT Zor Polinom Sorusu Çözümüyoutu.be/Q-L5zO5db8UDuvar English average score and number studentsduvarenglish.com/turkeys-university-entrance-exam-results-reveal-alarming-scores-in-all-fields-news-62767AACRAO minutesaacrao.org/edge/emergent-news/the-threshold-score-in-the-turkey-university-exam-has-been-removedTÜM ZAMANLARIN ÇIKMIŞ EN ZOR POLİNOM SORUSU 🔥ÖSYM SEVER 🤠youtu.be/cnWB8fNLDMUSubscribe: youtube.com/user/MindYourDecisions?sub_confirmation=1Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023.My Books (worldwide links)mindyourdecisions.com/blog/my-books/#worldwideMy Books (US links)Mind Your Decisions: Five Book Compilationamzn.to/2pbJ4wRA collection of 5 books:"The Joy of Game Theory" rated 4.3/5 stars on 290 reviewshttp://amzn.to/1uQvA20"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviewshttp://amzn.to/1o3FaAg"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviewshttp://amzn.to/1LOCI4U"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviewshttp://amzn.to/18maAdo"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviewshttp://amzn.to/XRm7M4Mind Your Puzzles: Collection Of Volumes 1 To 3amzn.to/2mMdrJrA collection of 3 books:"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviewshttp://amzn.to/1GhUUSH"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviewshttp://amzn.to/1NKbyCs"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviewshttp://amzn.to/1NKbGlp2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.My Blogmindyourdecisions.com/blogTwittertwitter.com/preshtalwalkarInstagraminstagram.com/preshtalwalkarMerchteespring.com/stores/mind-your-decisionsPatreonpatreon.com/mindyourdecisionsPressmindyourdecisions.com/blog/press
