Mathematics - Probability - In the game of Russian roulette
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In the game of Russian roulette, one inserts a single bullet into the chamber of the drum of a revolver, leaving the other five chambers of the drum empty. One then spins the drum and pulls the trigger.
a) What is the probability of being still alive after playing the game N times?
b) What is the probability of surviving (N-1) turns in this game and then being shot the Nth time one pulls the trigger?
c) What is the mean number of times a player gets the opportunity of pulling the trigger in this terrible game?
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Solution Summary
This solution provides a detailed explanation of the given probability questions.
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(a) The probability of being alive after N rounds of the game = (Probability of not getting shot in a single round)^N
= (5/6)^N
(b) The probability of ...
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