Two points are selected randomly on a line segment of length 20, one on each side of the midpoint of the line. That is, the two points X and Y are independent random variables such that X is uniformly distributed over (0, 10) and Y is uniformly distributed over (10, 20). Find the probability that the distance between the two points is greater than 8. Hint: Think of the pair (X, Y) as a point on the x-y plane (as in the Mr. Johnson and the newspaper problem) and identify the region where they're more than 8 apart.

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