Isn’t the Monty Hall Problem two separate games?

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Game One: You are given a choice of three doors. You pick number one. The host opens one of the other two doors, having been given instructions that, if you pick the car, the host is to open one of the other doors, and if you pick a goat, the host opens the other door with a goat. Stalemate. It is a predetermined outcome.

Game Two: The prior game’s outcome stands. The new choice you have is do you keep door number one, or do you switch?

How do you have a 2/3 chance of winning if you switch?

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34 Answers

Anonymous 0 Comments

When you pick the first door. There is a 1/3 chance you’re right. If you stay with it you win 1/3 of the time. That would mean, 2/3 of the time YOU SHOULD SWITCH, and you will win. 🙂

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