Uploaded September 2019 | Updated September 2026, 2 weeks ago
The most mysterious aspect of quantum mechanics is the wave function. What does it have to do with probability and statistics? Let's find out. Also, check out Brilliant for 20%: brilliant.org/ScienceAsylum
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VIDEO ANNOTATIONS/CARDS
Photons, Entanglement, and the Quantum Eraser:
youtu.be/iyN27R7UDnI
Where Does Light Come From?
youtu.be/3TufSRaHB6g
Is Math the Language of the Universe?
youtu.be/inPcQeYWVT8
________________________________
RELATED YOUTUBE VIDEOS
Eugene on Quantum Wave Functions:
youtu.be/KKr91v7yLcM
________________________________
SUPPORT THE SCIENCE ASYLUM
Patreon:
patreon.com/ScienceAsylum
Advanced Theoretical Physics (Paperback):
lulu.com/shop/nick-lucid/advanced-theoretical-physics-a-historical-perspective/paperback/product-24250687.html
Advanced Theoretical Physics (eBook):
gumroad.com/l/ubSc
Merchandise:
scienceasylum.com
________________________________
HUGE THANK YOU TO THESE PATRONS
Warden of the Asylum:
YDT
Asylum Counselors:
Matthew O'Connor
Asylum Orderlies:
Daniel Bahr, William Morton, LT MarshMan
Einsteinium Crazies:
Albert B. Cannon, Wacky, Ken Davis, Ilya Yashin, Eoin O'Sullivan
Plutonium Crazies:
JKLMN Anderson, Al Davis, Kevin MacLean
Platinum Crazies:
Stephen Blinn, Fletch, Felipe Cruz, Eugene Boone, Vittorio Monaco, Mikayla Eckel Cifrese
________________________________
OTHER SOURCES
https://quantummechanics.ucsd.edu/ph130a/130_notes/node82.html
physics.stackexchange.com/questions/119035/particle-in-a-box-simultaneously-bounded-momentum-and-position
physics.stackexchange.com/questions/52768/infinite-square-well-in-momentum-space
http://forum.sci.ccny.cuny.edu/Members/lombardi/publications/MOMREP-H-atom.pdf
________________________________
LINKS TO COMMENTS
Drift Velocity:
youtube.com/watch?v=Ii7rgIQawko&lc=UgzYLb3I5y1aJSUnQYt4AaABAg
youtube.com/watch?v=Ii7rgIQawko&lc=UgyhEPZsuNWnAso40c54AaABAg
youtube.com/watch?v=Ii7rgIQawko&lc=UgzXkzRc0vTPQTvCRO54AaABAg
________________________________
IMAGE CREDITS
Max Born:
commons.wikimedia.org/wiki/File:Max_Born.jpg
Boxxy:
youtu.be/Yavx9yxTrsw
#Quantum #QuantumMechanics #Probability
The most mysterious aspect of quantum mechanics is the wave function. What does it have to do with probability and statistics? Let's find out. Also, check out Brilliant for 20%: brilliant.org/ScienceAsylum
________________________________
VIDEO ANNOTATIONS/CARDS
Photons, Entanglement, and the Quantum Eraser:
youtu.be/iyN27R7UDnI
Where Does Light Come From?
youtu.be/3TufSRaHB6g
Is Math the Language of the Universe?
youtu.be/inPcQeYWVT8
________________________________
RELATED YOUTUBE VIDEOS
Eugene on Quantum Wave Functions:
youtu.be/KKr91v7yLcM
________________________________
SUPPORT THE SCIENCE ASYLUM
Patreon:
patreon.com/ScienceAsylum
Advanced Theoretical Physics (Paperback):
lulu.com/shop/nick-lucid/advanced-theoretical-physics-a-historical-perspective/paperback/product-24250687.html
Advanced Theoretical Physics (eBook):
gumroad.com/l/ubSc
Merchandise:
scienceasylum.com
________________________________
HUGE THANK YOU TO THESE PATRONS
Warden of the Asylum:
YDT
Asylum Counselors:
Matthew O'Connor
Asylum Orderlies:
Daniel Bahr, William Morton, LT MarshMan
Einsteinium Crazies:
Albert B. Cannon, Wacky, Ken Davis, Ilya Yashin, Eoin O'Sullivan
Plutonium Crazies:
JKLMN Anderson, Al Davis, Kevin MacLean
Platinum Crazies:
Stephen Blinn, Fletch, Felipe Cruz, Eugene Boone, Vittorio Monaco, Mikayla Eckel Cifrese
________________________________
OTHER SOURCES
https://quantummechanics.ucsd.edu/ph130a/130_notes/node82.html
physics.stackexchange.com/questions/119035/particle-in-a-box-simultaneously-bounded-momentum-and-position
physics.stackexchange.com/questions/52768/infinite-square-well-in-momentum-space
http://forum.sci.ccny.cuny.edu/Members/lombardi/publications/MOMREP-H-atom.pdf
________________________________
LINKS TO COMMENTS
Drift Velocity:
youtube.com/watch?v=Ii7rgIQawko&lc=UgzYLb3I5y1aJSUnQYt4AaABAg
youtube.com/watch?v=Ii7rgIQawko&lc=UgyhEPZsuNWnAso40c54AaABAg
youtube.com/watch?v=Ii7rgIQawko&lc=UgzXkzRc0vTPQTvCRO54AaABAg
________________________________
IMAGE CREDITS
Max Born:
commons.wikimedia.org/wiki/File:Max_Born.jpg
Boxxy:
youtu.be/Yavx9yxTrsw
#Quantum #QuantumMechanics #Probability







![Dice Combinatorics, Explained Through Game Design
Whenever I play tabletop game Farkle, Im surprise by how often the high-point rolls occur. The probabilities dont seem to correlate with score. Lets try and fix it. [ Brilliant for 20% off: http://brilliant.org/ScienceAsylum ]
The code used in this video:
https://github.com/ScienceAsylum/Farkle-Probability
MY OTHER MATH VIDEOS
Does the number Pi actually exist?
https://youtu.be/1gf4yejFNe4
Is Math the Language of the Universe?
https://youtu.be/inPcQeYWVT8
RELATED YOUTUBE VIDEOS
Epic Math Time on Combinations:
https://youtu.be/5-YxlnTMknA
SUPPORT THE SCIENCE ASYLUM
Patreon:
http://www.patreon.com/ScienceAsylum
Advanced Theoretical Physics (Paperback):
http://www.lulu.com/shop/nick-lucid/advanced-theoretical-physics-a-historical-perspective/paperback/product-24250687.html
Advanced Theoretical Physics (eBook):
https://gumroad.com/l/ubSc
Merchandise:
https://www.scienceasylum.com
HUGE THANK YOU TO THESE PATRONS
Asylum Counselors:
Matthew OConnor, Nikolaos Vasiloglou II
Asylum Orderlies:
Fabio Manzini, Josiah Gleaton, Medec Hurtz, ProDan, William Morton
Einsteinium Crazies:
Charles Copley, Eoin OSullivan, Glen Northrop, Ilya Yashin, Ken Davis, LT Marshall, Wacky
Plutonium Crazies:
Al Davis, Compuart, Ellis Hall, Kevin MacLean, Madhu Subbu
Platinum Crazies:
André Weyermann, Boris Petrovchich, Cody Martin, David Johnston, Jon Adams, Jonathan Reel, Kyle Bowles, Marino Hernandez, Mikayla Eckel Cifrese, Mr. Orn Jonasar, Olga Cooperman, Stephen Blinn, Tom Hawking, Vittorio Monaco
OTHER SOURCES
https://en.wikipedia.org/wiki/Farkle
https://youtu.be/iKy-d5_erhI
https://youtu.be/-c8C0NYDhC4
LINKS TO COMMENTS
https://www.youtube.com/watch?v=GltTRdM1RW4&lc=Ugy195SuW9QqIXdqxNB4AaABAg
https://www.youtube.com/watch?v=GltTRdM1RW4&lc=UgzVUbaEaPlMvL0kV1x4AaABAg
https://www.youtube.com/watch?v=GltTRdM1RW4&lc=Ugz-8Y5zX8XywWbrHkN4AaABAg
TIME CODES
00:00 Cold Open
00:47 Game Rules
1:46 Preparing for Project
2:55 Counting with Python
6:17 Combinations
11:10 Spreadsheet
12:57 Conclusions
14:27 Outro
15:01 Sponsor Message
15:50 Featured Comment
#TableTopGames #Mathematics #Probability Dice Combinatorics, Explained Through Game Design](https://i.ytimg.com/vi/zBa5TWXfDEo/mqdefault.jpg)


