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Medium · Betting Games · Quant Trader interview question · probability, conditional-probability, expected-value, mental-math
You are forced to play Russian Roulette with a six-chamber revolver containing two bullets in adjacent chambers. The cylinder has just been spun uniformly at random, but the trigger has not been pulled and you have received no information about the chamber currently aligned with the barrel. You must choose one of the following: Pull the trigger once using the cylinder's current position. Spin the cylinder uniformly at random again, then pull the trigger once. Compare the choices using only the