I was reading the Wikipedia today, and stumbled across something that really interested me: the Monty Hall Problem.

Esentially the idea is that you have three choices of which two are wrong and one is right. You select which one you want, not knowing what it is, and then one of the two wrong answers are revealed to you.
You are then given the choice to change your answer, and by doing so, you have actually improved your odds at winning.

You see this on game shows all the time, and the example used at Wikipedia is:

In this puzzle a player is shown three closed doors; behind one is a car, and behind each of the other two is a goat. The player is allowed to open one door, and will win whatever is behind the door. However, after the player selects a door but before opening it, the game host opens another door revealing a goat. The host then offers the player an option to switch to the other closed door.

The way it works is that when you were given three choices, you were more likely to chose the wrong item (66% chance of being wrong), so if you bet on that fact, when you are left with two choices, moving over to the one you did not chose, is more likely the correct choice.

I would love to create a simple program to test the validity of this because it really messes with my head. I love it! I also think it says so much about life.