Russian Roulette Probability Explorer
Four probability variants, with the eventual-risk correction for repeated re-spins.
Cylinder
Variant 2: why 5/36 is not Player 2's final risk
5/36 is only the chance that Player 2 is shot on the first cycle. With probability (5/6)^2 = 25/36, both players survive and the game restarts in the same state.
Player 1 eventual risk
1/6 + (5/6)^2(1/6) + ... = 6/11 ≈ 54.55%
1/6 + (5/6)^2(1/6) + ... = 6/11 ≈ 54.55%
Player 2 eventual risk
(5/6)(1/6) + (5/6)^3(1/6) + ... = 5/11 ≈ 45.45%
(5/6)(1/6) + (5/6)^3(1/6) + ... = 5/11 ≈ 45.45%
Probability puzzle only. Real Russian roulette is potentially fatal and should never be attempted.