Your first pick is right one time in three, and switching loses only then. The other two times the car is behind one of the doors you didn’t pick, the host has to open the goat one, and the door he leaves shut has the car.
On a game show there are three closed doors. Behind one is a car, and behind the other two are goats. You pick a door. The host, who knows where the car is, always opens one of the other two to show a goat, then offers you the last closed door instead of yours. Should you take it, and what is your chance of winning the car if you do?
Give me a hintThe hint
How often was your first pick right?