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Interview Question

Assistant Trader Interview
Sig

We are playing Russian roulette with a standard 6-chamber revolver. Two bullets are placed in adjacent chambers. I spin the cylinder, point the gun at my head, and pull the trigger. I survive. Now it's your turn. You can either (a) re-spin, aim at your head, and pull the trigger, or (b) not spin, aim at your head, and pull the trigger. Which option gives you a higher chance of survival? Additionally, given that I spun the cylinder, what is the probability that I die this time?

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