16. Consider an experiment that results in one of three possible outcomes, outcome i occurring with probability

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16. Consider an experiment that results in one of three possible outcomes, outcome i occurring with probability p,, i = 1, 2, 3. Suppose that independent replications of this experiment are performed and let X,, i = 1, 2, 3 denote the number of times that outcome i occurs. Determine the conditional probability mass function of X₁, given that X2 = m.

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