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
Imagine if there were 1 million doors. One car, and 999,999 goats. You pick one, and Monty Hall opens 999,998 doors. Are you gonna keep your one in a million chances or take the sure thing. Obviously, its only a slight edge to switch with only 3 doors.
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