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You are at a game show and you are given the choice of three doors; a blue, a
yellow and a red door. Behind one of the doors there is a brand new car as a
prize, whereas there is no prize behind the remaining two doors. You start the
game by choosing a door. Suppose you choose the red door. The presenter, who
knows which door has the prize, will then open one of the remaining two doors.
The presenter will always open a door that has no prize behind it. Suppose that
the presenter opens the yellow door revealing that there is no prize behind it.
The presenter then asks if you would like to switch your red door for the blue
door. What do you do in order to maximise your chances of winning the car?
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