A probability problem by Rahul Kumar

A point has 10 roads coming out of it. 7 people get to the point by car and are uniformly and independently likely to go on any of the 10 roads.

If the expected value of the number of distinct roads that are chosen is a . b c d \overline{a.bcd} to 3 decimal places.

Submit your answer as a + b + c + d a + b + c + d .


The answer is 15.

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