Question

Let's play a game of Russian roulette. You are tied to your chair. Here's a gun, a revolver. Here's the barrel of the gun, six chambers, all empty. Now watch me as I put two bullets into the barrel, into two adjacent chambers. I close the barrel and spin it. I put a gun to your head and pull the trigger. Click. Lucky you! Now I'm going to pull the trigger one more time. Which would you prefer: that I spin the barrel rst or that I just pull the trigger?

Answer 1

Answer:

Don't spin the barrel.

Step-by-step explanation:

Each time you spin the barrel, the probability A of finding a bullet, having two bullets in six chambers is:

$P(A)=\frac{2}{6}=\frac{1}{3}=0.33$

For you to get shot in the second try but not the first, the barrel spin would have to stop precisely at one specific chamber: the one right before the bullets, so that probability would be:

$P(B)=\frac{1}{6}=0.17$

which means that this event is half as likely as finding a bullet every time the barrel is spun. Your chances are better if you pull the trigger for the second time without spinning the barrel.