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YouTube

The Surprising Math of a Three Person Duel

Wrath of Math via YouTube

Overview

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Explore the mathematical intricacies of a three-person pistol duel in this 12-minute educational video that uses probability theory to determine optimal survival strategies. Follow along as the presenter analyzes a scenario where three gunslingers with different known accuracies face off, requiring geometric series to solve this fascinating probability puzzle. The video methodically breaks down the problem, examining what happens if the first gunslinger hits or misses their target, and ultimately reveals the surprising optimal strategy for survival. Complete with time-stamped sections covering the introduction, duel mechanics, solution approach, strategic analysis, and conclusion, this mathematical exploration offers insights into practical applications of probability theory in an engaging format.

Syllabus

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

Taught by

Wrath of Math

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