The interesting thing about this situation is that most people think that it does not matter whether you switch doors or keep the same door at this point. (This is why this was mentioned on a recent episode of the TV show NUMB3RS.) "What difference does it make?" they might say. "After all, there's a 50% chance of the car being behind either of the two doors...right?"

WRONG! It doesn't take too much mathematics to see that you are twice as likely to win if you switch doors at that point. I will try to convince you of this fact in two ways:

About Monty Hall Problem / Play the Game / Explain / Statistics / Mathematical Fiction

Page written and maintained by Alex Kasman (2005)