Cool Math Problem

I read The Drunkard's Walk and came away with this really cool math problem.

Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?

Here is the answer......don't be so quick to answer...think about it!

http://en.wikipedia.org/wiki/Monty_Hall_problem

Enjoy!
BTW Chris was the only person I know that not only got the right answer.....but understood why!