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Difficulty: Easy
Category: Game Theory & Logic
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Topics: probability, conditional-probability, game-theory
You are participating in a game show. There are three doors. Behind one door is a car, and behind the other two are goats. You pick a door (let's say door number 1). The host, who knows what's behind each door, opens one of the other doors (let's say door number 3) to reveal a goat. The host then asks you: "Do you want to switch to door number 2?" What is the probability of winning the car if you switch doors?
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