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## Barstow Community College Probability in the Monty Hall Dilemma Discussion

### Question Description

I’m working on a probability question and need an explanation to help me study.

he Monty Hall ProblemTheMonty Hall Problemis a famous probability puzzle, based on thetelevision game showLets Make a Deal.It has been formulated as follows:Suppose youre on a game show, and youre given the choice of three doors: Behind onedoor is a car; behind the others, goats. You pick a door, say No. 1, and the host, whoknows whats behind the doors, opens another door, say No. 3, which has a goat. He thensays to you, Do you want to pick door No. 2? Is it to your advantage to switch yourchoice? (From Parade magazines Ask Marilyn column)It turns out that you should indeed switch your choice to increase your chance of winning, which mightseem counter-intuitive at first glance.

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