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Competitive Stats
Q20Section A (Section A)20 of 60

Ranking probability of two order constraints

Let X1,X2,X3,X4X_{1},X_{2},X_{3},X_{4} be i.i.d. random variables having a continuous distribution. Then P(X3<X2<max⁡(X1,X4))P\left(X_{3}<X_{2}<\max(X_{1},X_{4})\right) equals

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