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406.Overlapping Segments

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geometric probabilityCh. 4 — Continuous Distributions and Moments444+ Problems in Probability
Let X1,X2,X3,X4Unif(0,1)X_1, X_2, X_3, X_4 \sim \mathrm{Unif}(0,1) IID. Draw one segment between X1X_1 and X2X_2, and another between X3X_3 and X4X_4. Find the probability that the two segments overlap.

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