Monty Hall was the host of a game-show called Let’s Make a Deal from the 1960s for over 20 years. In the show, contestants would be shown three doors. There would be a car behind one door, and goats behind the other two. Contestants would aim to win the car by picking the correct door. The process for picking a door was as follows:
- The contestant would first choose a door.
- Monty would then open one of the other two doors to deliberately reveal a goat.
- At this point, the contestant could choose to stick with their original door, or switch to the other closed door.
Would a contestant be better off sticking or switching doors—or does it make no difference?