Game One: You are given a choice of three doors. You pick number one. The host opens one of the other two doors, having been given instructions that, if you pick the car, the host is to open one of the other doors, and if you pick a goat, the host opens the other door with a goat. Stalemate. It is a predetermined outcome.
Game Two: The prior game’s outcome stands. The new choice you have is do you keep door number one, or do you switch?
How do you have a 2/3 chance of winning if you switch?
In: 107
No, it is not two separate games. Monty has information from the start which the player does not have. When you have the opportunity to switch you have the opportunity to act based on some of Monty’s information, which improves your odds of success.
Latest Answers