Russian Roulette Part 1

After meeting some unsavory characters playing CS:GO, the Russian mafia forces you to play Russian Roulette. A gun, which can hold 6 bullets, is chambered with a bullet. You have to pull the trigger 6 times.

To increase your chance of survival, should you:

A. Pull the trigger 6 times in succession?

B. Spin the barrel each time before you pull the trigger?

Equal (non-zero) chance of surviving either way Dead either way B A

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2 solutions

Ivan Koswara
Jan 14, 2016

A guarantees you're dead, because you will attempt to shoot from each chamber, and hence you will some time shoot from the chamber with the bullet. B gives you chance to live, if you're lucky enough to miss the bullet every spin.

Is the probability of living in the second case 15625/46656 ?

Kushagra Sahni - 5 years, 5 months ago

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It's ( 5 / 6 ) 6 (5/6)^6 ; I think that's correct, but I'm too lazy to actually compute it to a fraction.

Ivan Koswara - 5 years, 5 months ago

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Yes they are equal.

Kushagra Sahni - 5 years, 5 months ago
Yash Mehan
Feb 19, 2016

i didn't get this: "playing CS:GO,"

@Yash Mehan CS:GO = Counter Strike Global Offensive, is a game.

Mehul Arora - 5 years, 3 months ago

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