Question: Three points, X 1 , X 2 , and X 3 , are chosen at random in the interval (0, a). A second set of

Three points, X₁, X₂, and X₃, are chosen at random in the interval (0, a). A second set of three points, Y₁, Y₂, and Y₃, are chosen at random in the interval (0, b). Let A be the event that X₂ is between X₁ and X₃. Let B be the event that Y₁ < Y₂ < Y₃. Find P(A ∩ B).

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