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Monty Hall Problem
While doing some research on the Bayes Theorem, I stumbled accross the Monty Hall Problem. It goes like this:
Monty Hall was the host of the TV game show, "Let's Make a Deal." Monty would have a contestant choose one of three doors. Behind two of the doors was a goat. Behind the third was a new car. Once the contestant made his pick, Monty, who knew which door the car was behind, would open up a door and reveal a goat. He would then give the contestant an opportunity to keep his pick or change it to the other door that had yet to be opened. The question is: Should the contestant change picks? The answer is: Yes The odds of the person initially making the right pick is 1/3. So if he makes the switch, he'll be right 2/3 of the time. |
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