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by ColinWright
2877 days ago
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The probability on the two you didn't open is 2/3. At that point you have no information as to which of those two doors holds the prize, so they each have probability of 1/3. Then the host opens one. The probability of the door opened holding the prize goes to 0. But the probability on the set of two is still 2/3, and so the probability of the door that is both unchosen and unopened goes to 2/3. |
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