Fun Math Problems

[Darwin]

No, he is correct.
We know that switching will turn a loss into a win, and a win into a loss.
We know this because after one goat is eliminated, you are left with a goat and a car, switching will always go to the other. The probability of picking a goat in the beginning (win) is 2/3. Therefore, switching will turn a win into a loss 2/3 of the time, so it is in your favor to switch doors.
If your still not convinced, don't take my word for it, try it yourself here.