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1. You are at a game show and there are
three closed doors. There is a prize hidden behind one of the
doors and the game show host knows where it is. You are asked to
choose a door. The game show host then opens one of the other two
doors showing that it is empty and asks you if you would like to
change your selection. Should you stick to your original
selection?
Solution: It is better if you select the
other door. Since there are three doors then there is a 67% chance
that you choose the wrong door with your first selection. If
you are wrong the game show host will select the other wrong door
since she knows where the prize is hidden. Therefore it is better
if you switch to the door which the game show host leaves closed.
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