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 showLets Make a Deal.It has been formulated as follows:Suppose youre on a game show, and youre 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 whats 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 magazines 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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