Monty Hall presents you with 3 doors. Behind one door is a million dollars. Behind the other 2 doors are nothing. You select a door. Before opening that door, Monty opens one of the doors you did not pick, and shows you that there is nothing behind it. Keep in mind, that Monty knows what is behind each door and always chooses to show you one of the doors you did not pick, which has nothing behind it.
At this point, with two doors left closed, Monty gives you the option of swapping your original choice with the other closed door. Do you swap? What would swapping do to your odds of winning?
Monty Hall Problem Answer
See also: Monty Hall Problem 2
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