Suppose you're on a game show, and you're given the choice of three doors.Behind one door is a car; behind the other doors are goats. You pick a door, say #1, and the host, who knows what's behind the doors, opens another door, say #3, which has a goat. He then says to you, "Do you want to pick door #2?"

Discuss the following: Is it to your advantage to switch your original choice of door #1. Clearly explain your reasoning