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MultinomialDistribution

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Multivariate discrete distribution for modeling outcomes of n independent trials with m categories.

MultinomialDistribution[n, {p1, p2, …, pm}]
MultinomialDistribution[3, {1/3, 1/3, 1/3}] → MultinomialDistribution[3, {1/3, 1/3, 1/3}]

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