The Monty Hall Problem

ErnieM said:

Here is my easy way to see the solution by bending the problems bit.

See, opening a door, while exposing additional information, does not change the odds of you selecting the prize.

Instead of opening doors allow the contestant to switch from the one door they chose to all the other doors, and if the prize is behind any door they win it.

Obviously the odds of not choosing the prize first time are greater than choosing correctly. Thus by switching to all the other doors you must increase your odds of winning, excepting the case when there is only two doors.

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