6-25. Suppose that in a particular game a play renders 1, 2, 3 or 4 points with...

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6-25. Suppose that in a particular game a play renders 1, 2, 3 or 4 points with associated probabilities p1 = 0.60, p2 = 0.30, p3 = 0.08, and p4 = 0.02.

Under the assumption that these probabilities are the same for all plays and that the plays are independent, determine the probability of having four plays yielding 1 point, four plays resulting in 2 points, two plays yielding 3 points, and two plays resulting in 4 points in a sequence of 12 plays.

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