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an absent - minded professor has n keys in his pocket of which only one ( he does not remember which one ) fits his
an absentminded professor has n keys in his pocket of which only one he does not remember which one fits his office door. He picks a key at random and tries it on his door. If that does not work, he picks a key again to try. a A key that does not work is put back into his pocket so that when he picks another key, all n keys are equally likely to be picked
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