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consider a bag containing 10 red balls, 10 pink balls, and 15 blue balls. Suppose that 4 balls are drawn from the bag with replacement

consider a bag containing 10 red balls, 10 pink balls, and 15 blue balls. Suppose that 4 balls are drawn from the bag with replacement in such a way that any ball is equally likely to be drawn. Let X denote the number of red balls drawn, Y the number of pink balls drawn, and Z the number of blue balls drawn. Calculate the probability that 1 red ball, 3 pink balls, and no blue balls are drawn

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