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The Monty Hall Problem is a problem in probabilistic reasoning. It is often stated as follows.
| Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice? |
| [Whitaker/vos Savant 1990] |
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| Won | Lost | |
| Switched | 0 | 0 |
| Stayed | 0 | 0 |
