Monty Hall Paradox

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On the old game show "Let's Make A Deal", hosted by Monty Hall, one particular game has a contestant presented with three doors. Behind one door is a fabulous prize, while the other two contain nothing. The contestant chooses a door. Monty Hall then opens one of the doors which has nothing behind it and asks the contestant if he or she would like to switch his or her choice of doors. It seems intuitive that it does not matter what the contestant chooses. However, taking the option to switch doubles the contestant's chance of winning. This Demonstration repeatedly plays the game, tallying wins and losses considering both cases of switching or not switching. In the long run it is obvious that, in fact, switching doors does improve the chances of winning.

Contributed by: Matthew R. McDougal (March 2011)
Open content licensed under CC BY-NC-SA


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