Tibor's Musings

Paul Erdös and the Game Show Problem

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. 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 says to you, "Would you rather like to pick door #2?" Is it to your advantage to switch your choice of doors?