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A parking lot consists of a single row containing 14 parking spaces. Mary arrives when all...

A parking lot consists of a single row containing 14 parking spaces. Mary arrives when all spaces are free. Tom is the next person to arrive. Each person makes an equally likely choice among all available spaces at the time of arrival.

Compute the probability that the parking spaces selected by Mary and Tom are at most 2 spaces apart (i.e., there is at most one empty space between them).

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