Monty Hall Problem is famous problem in probability. It is not only famous, but also important. This problem tests how good we understand probability. One of its appearence in popular culture is in this scene of “21” movie. Please ignore, the explanation given there. But I bet you can’t ignore the amazing Kevin Spacey.
So, what is the problem? Problem statement(taken from wiki): 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.