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Two numbers, x and y, are selected at random from the unit interval [0, 1]. Find...

Two numbers, x and y, are selected at random from the unit interval [0, 1]. Find the probability that each of the three line segements so formed have length > 1 4 . For example, if x = 0.3 and y = 0.6, the three line segements are (0, 0.3), (0.3, 0.6) and (0.6, 1.0). All three of these line segments have length > 1 4 . hint: you can solve this problem geometrically. Draw a graph of x and y, with x on the horizontal axis and y on the vertical axis. Figure out the region of (x, y) pairs that satisfy the condition of interest. It will look like two small triangles inside the unit square.

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