Brainteaser: You’re on a game show, and there are three doors. Behind one door is a car, and behind the other two doors are goats. You pick a door, then the host, who knows what’s behind each door, opens another door to reveal a goat. You’re given the option to switch your choice to the remaining unopened door. What should you do to maximize your chance of winning the car?
Answer: You should switch doors. By switching, your chance of winning becomes 2/3, whereas if you stick with your initial choice, your chance remains 1/3.