Two points are selected randomly on a line of length 40 so, Ask an Expert

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Two points are selected randomly on a line of length 40 so as to be on opposite sides of the midpoint of the line. In other words, the two points X and Y are independent random variables such that X is uniformly distributed over [0,20) and Y is uniformly distributed over (20,40]. Find the probability that the distance between the two points is greater than 18.

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