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Of course its better to switch 250. The clear example is with a high number of doors, lets say 1000. In that case, your first choice would be wrong 99,9 % of the times, so the host would have to leave closed ONLY THE PRIZED DOOR, because he cant open that one, so the chances of winning if you switch doors is 99,9 % in this case, (n-1)/n in general.
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Previously known as Ertai_OHF
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