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Pastimes : Laughter is the Best Medicine - Tell us a joke
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To: Jeffrey S. Mitchell who wrote (61665)12/10/2022 3:39:14 AM
From: Sun Tzu  Read Replies (1) of 62549
 
Right answer, but wrong calculation.
Spoiler alert, skip the answer below if you want to have another stab at it.
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What makes this question tricky is that you have to do two different types of calculation for the odds of getting killed. On the first draw or a spin, you calculate the odds of drawing a bullet, which you correctly identified as 1 in 3. But once your opponent draws a blank, then you need to use that info and figure out what are the odds that he got the chamber just before the bullet. Those odds are 1 in 6. You subtract that from the 1, and not spinning gives you a 5 out of chances of living by not spinning (rather than 1 in 3 per your calculations). You had the right idea, but did the wrong math.

000QXX

Once he draws a blank, the question becomes what were the odds that he landed on Q? Anything else and and you live. Probability of Q = 1 in 6, therefore probability of living without a spin = 5 in 6.
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