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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