Logic Puzzles
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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