On the game show "Let's Make a Deal", hosted by Canadian presenter Monty Hall, a contestant chooses one of three closed doors, two of which have a goat behind them and one which has a car. Monty, who knows where the car is, then opens one of the two remaining doors. The door he opens always has a goat behind it (he never reveals the car!). If he has a choice, then he picks a door at random with equal probabilities. Monty then offers the contestant the option of switching to the other unopened door. If the contestant's goal is to get the car, should he switch doors?
1) Yes, the contestant should switch doors
2) No, the contestant should not switch doors
