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Probability Basicshard
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A point (X,Y)(X, Y)(X,Y) is selected uniformly at random from the unit square [0,1]×[0,1][0, 1] \times [0, 1][0,1]×[0,1]. What is the conditional probability that Y≤2XY \le 2XY≤2X given that Y≥XY \ge XY≥X?