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4. (Problem 2.4 from Reif) In the macabre game of Russian roulette one inserts a single
cartridge into one of the 6 chambers of the cylinder of a revolver, leaving the other 5
chambers of the cylinder empty. One spins the cylinder, aims at one's head, and pulls
the trigger. What is the probability of still being alive after playing the game (a) once?
(b) twice? (c) N times? (d) What is the probability of being shot when playing the
game the Nth time?
Transcribed Image Text:4. (Problem 2.4 from Reif) In the macabre game of Russian roulette one inserts a single cartridge into one of the 6 chambers of the cylinder of a revolver, leaving the other 5 chambers of the cylinder empty. One spins the cylinder, aims at one's head, and pulls the trigger. What is the probability of still being alive after playing the game (a) once? (b) twice? (c) N times? (d) What is the probability of being shot when playing the game the Nth time?
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