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404.Min Plus Max

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classical probabilityCh. 4 — Continuous Distributions and Moments444+ Problems in Probability
Generate X1,…,Xn∼Unif(0,1)X_1, \dots, X_n \sim \mathrm{Unif}(0,1) IID, and let U=min⁡U = \min and V=max⁡V = \max. Compute P[U+V>1]P[U + V > 1].

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