Consider forming a random rectangle in two ways. Let
Chapter , Problem 53(choose chapter or problem)
Consider forming a random rectangle in two ways. Let \(U_1,U_2\), and \(U_3\) be independent random variables uniform on [0, 1]. One rectangle has sides \(U_1\) and \(U_2\), and the other is a square with sides \(U_3\). Find the probability that the area of the square is greater than the area of the other rectangle.
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