Uploaded April 2025 | Updated September 2026, 2 weeks ago

---

Three gunslingers, A, B, and C are participating in a kindly three person pistol duel. They all have varying accuracies, and these accuracies are known to each other. It's our objective to use probability to determine A's best strategy for surviving this encounter. The solution, like in all duels, will require geometric series. #mathproblems #probability #mathpuzzle

Check out the coolest math clothes in the world: mathshion.com

Fifty Challenging Problems in Probability by Frederick Mosteller: amzn.to/3RWrcAl

Join Wrath of Math to get exclusive videos, lecture notes, and more:
youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join

Outro music: youtube.com/shorts/tfifiSdTZRg

Follow Wrath of Math on...
● Instagram: instagram.com/wrathofmathedu
● TikTok: tiktok.com/@wrathofmathedu
● X: https://x.com/wrathofmathedu

0:00 Intro
1:18 Pistol Duels
2:35 Solution
4:04 If A Hits B
8:19 If A Misses B
9:11 A's Strategy
10:50 Conclusion