My mom came across this math puzzle recently. I had already seen it and solved it as it was given as a homework assignment in high school senior year in our special math class. Nowadays, it would be difficult to give these kinds of problems as homework, with the Web and Google search.

You are on a game show. There are three doors. Behind one of the doors is the prize of a million dollars. There is nothing behind the other two doors. You get to choose one door to open. If the prize is behind that door, you win. After you choose a door but before it is opened, the game show host opens one of the other doors and shows that it is empty. He then gives you the option to change your mind. Do you go with your first choice, or change your mind?

In other words, what is the probability of winning if you stay with your first choice, and what is the probability of winning if you change your mind?

Any takers?

## Thursday, August 02, 2007

### Math Puzzle: Do You Want To Change Your Mind?

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## 3 comments:

Most people seem to answer that the odds of winning are the same, 1/3, or that switching improves the odds to 1/2.

good morning everyone!!

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