I'd Rather Fight Than Switch

Okay, it's time we stuck you with this one to think about. Let's say you go on the game show Let's Make a Deal, and you have your choice of three doors. Behind one is the grand prize of a car. Behind the other two are goats. You pick a door. Let's say you pick Door #1. Your host, Monty Hall, knows which door conceals the car and he then opens one of the other doors — let's say it's Door #3 — and he says, "As you can see, the car is not behind Door #3. Would you like to stay with your choice or would you like to switch to Door #2?" Is it to your advantage to switch? Or do you have just as good a chance of winning if you stay with your original choice?

The answer seems obvious…but given how much argument this question has prompted, maybe it's not. Here's a link to one of many websites that tackles the problem…and even allows you to play Let's Make a Deal first. You'll enjoy it more if you put on a ridiculous costume first. (Never mind. What you're already wearing will do just fine.)