Tuesday, April 9, 2013

The Monty Hall Problem

The Monty Hall problem is an intriguing question of probability and counter-intuitiveness.  I'll let the video explain the concept of the problem:



When you first are exposed to the problem, you would say that the chance is 50/50 since there are two possible doors, one containing a goat and one containing a car.  As you think about the problem further (and maybe even test it experimentally a few times) you will hopefully come to realize why swapping is indeed the better choice.

There are many Monty-Hall-esque problems in everyday life.  Initially they seem to be one way, but with greater understanding, they turn out to be the opposite.  If I were to take a group of people, and explain the problem to them without an explanation of the answer, and told them to debate which option was correct, which side would win?  I would imagine that the people with the shorter, quicker, more concise (although incorrect) answer would prevail.  Sometimes it doesn't matter how complicated an issue is; the people who have a quicker answer win anyways.  An important thing to keep in mind, however, is that not everything is a Monty-Hall problem - sometimes the most obvious answer is the right one.

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