Simple Question for Discussion

[vetman81]

In a class of mine, our prof. gave us the following situation:

In a game such as lets make a deal, there is a prize behind three doors. You choose door #2, they now show you what was behind door #3. Now that you know what is behind door #3, should you change your choice to door #1 or stay with door #2?

I didn't agree with what he said, so I wanted to see what everyone else thought. All discussion is appreciated.

[uuDevil]

This was most recently discussed here:

Let's Make a Deal

[vetman81]

Thanks for the link!

[donkeyradish]

It makes it easier to agree with the answer if you reword the question:

There is a prize behind one of N doors, where N > 2
You choose door 1
They then open all the other doors except for one, to reveal no prize. Do you switch? Or course you do.