So you're on a game show, and Monty Hall tells you that there are three doors in front of you. Behind one door is a car. Behind the other two doors there are goats. You want the car, and you pick door No. 1. Monty Hall then tells there's a goat behind door No. 3, and he offers you the chance to switch from door No. 1 to door No. 2. Should you change your answer?