11THE MONTY HALL PROBLEM

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As host of the TV game show Let’s Make a Deal, Monty Hall would show contestants three closed doors and ask them to choose one. Behind one door was a valuable prize; behind the other two were smelly old goats. As soon as the contestant chose a door, Monty would open one of the remaining doors to reveal a goat. The contestant was then given a final choice: switch doors or stay with their initial pick.

In 1990, Marilyn vos Savant, “the world’s smartest woman,” stated in her weekly Parade magazine column, “Ask Marilyn,” that the contestant should choose to switch doors. Though her answer was correct, it ignited a firestorm ...

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