The Monty Hall probability problem is nothing new. Many of you have probably encountered it. However, I was talking about it with one of our junior high classes and enjoyed the debate. If you haven't encountered it, the problem appears below, so please don't look it up - try to reason and comment based on your own analysis. The fun in the problem is less trying to figure it out, and more watching the firm determination on both sides of the argument. It's like watching people argue about color of a dress, only with the Monty Hall problem, a real answer does exist.

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?

I've attached a poll to summarize any responses.

In this same thread, if anyone has suggestions of other fun probability puzzles, I'd love to have links or descriptions.