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Select randomly two values X and Y in the interval [0, 1]. This divides up the...

Select randomly two values X and Y in the interval [0, 1]. This divides up the interval into 3 line segments. What is the probability that a triangle can be constructed from these line segments. For example, if values x = 0.1 and y = 0.9 were selected, you cannot make a triangle from the line segments. But values 0.3 and 0.6 do yield a triangle. Hint: determine the region of points (x,y) in the unit square that yield a triangle.

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