Math Arguments

Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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Item 179

Monty Hall



Once upon a time, the world's smartest person (Marilyn vos Savant, IQ: 228) received a question for her newspaper column.


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 number 1, and the host, who knows what's behind the doors, opens another door, say number 3, which has a goat. He says to you, "Do you want to pick door number 2?"

Is it to your advantage to switch your choice of doors?
Craig. F. Whitaker, Columbia, MD
Marilyn's answer was surprising to many people. What do you think?


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