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A corridor has 7 office doors, each occupied by some professor. There are no signs on office doors. A student is looking for a professor

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A corridor has 7 office doors, each occupied by some professor. There are no signs on office doors. A student is looking for a professor who occupies one of the offices but does not know which one. How many doors on average a student has to knock in before finding the right one (including the right one)? Assume that a student does not knock twice to the same door. OTBET

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