The host now asks if you would like to switch and choose the other door. Now there are two doors remaining: your original choice, and the other unopened door. However, the host, who knows what is behind each of the doors, purposely chooses a door that is not the door you picked and that has a billy goat behind it, and opens the door, revealing the goat. Behind one door is a shiny new car, and behind the other two doors are billy goats. You will win whatever is behind the door you pick. Here is the scenario: You are on a game show, and the host directs you to pick one of three doors. ![]() Although Savant referred only to a nameless game show, the scenario calls to mind the classic game show Let’s Make a Deal, as hosted by Monty Hall, and the puzzle came to be named after him. Elementary school students were able to demonstrate that the mathematicians were incorrect. Their credentials did not make them any righter, and Savant patiently re-explained the correct answer in subsequent columns, finally calling on math classes across the country to actually perform the actions described in the brain teaser. She published the problem with the correct answer in the first column, only to have several mathematicians write in to tell her she was wrong, with many using a scornful tone and being sure to sign their names with “Ph.D.” appended. The problem was popularized by Marilyn vos Savant in a series of columns in Parade magazine in 19. ![]() The correct answer is so counterintuitive that our brains want to reject it even after it is explained. The Monty Hall problem is one of the greatest brain teasers of all time.
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