Diagram of the solution to the Monty Hall problem.
You make a choice (*) of three doors with equal
Doors: _ _ _*
Probability: 1\3 1\3 1\3
Say the middle door is eliminated, your choice was still made with a one in
three chance and so the probability of winning is still one in three. The
probability of the unopened door (#) is now 2/3 as the total probability must be
equal to one.
Doors: _# _*
Probability: 2\3 1\3
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