The Monty Hall Problem

Medium

brainteasers Jane Street Two Sigma

You are on a game show with three doors. Behind one door is a car; behind the other two are goats. You pick Door 1. The host, who knows what is behind each door, opens Door 3 to reveal a goat. The host then asks if you want to switch to Door 2. What should you do to maximize your chance of winning the car?

Multiple Choice

Stay with Door 1; the probability is 1/2 either way after a door is revealed Switch to Door 2; switching gives a 2/3 probability of winning It does not matter; the probability is 1/3 for each remaining door Stay with Door 1; your initial choice has the highest probability since you chose it first

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The Monty Hall Problem

Multiple Choice

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