This is a rehash of a problem that appeared in a popular magazine in the 1990's that is a fascinating experiment in Probability and Human nature.

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 think that you should switch doors if you want to win the car.... because the probability of winning goes way up.... Pick Door #2!!!!

Would you agree or disagree?