Suppose that X₁, X2, X3 are independent and identically distributed random variables with distribution function: Fx (x) = 1−3−* for x ≥ 0 and Fx (x) = 0 for x < 0. Let Y = max (X₁, X₂, X3), the maximum of the random variables X₁, X2, X3. Determine P (Y > 1).

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