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Example 3: Monty Hall

by Maliha Hossain

keyword: probability, Monty Hall, Bayes' Theorem, Bayes' Rule 


The Monty Hall problem is based on the television game show Let's Make a Deal. The problem was published by Marilyn vos Savant in Parade Magazine as follows:

\indent{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?}







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