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This distribution can be regarded as a generalization of Binomial distribution.

When there are more than two mutually exclusive outcomes of a trial, the observations lead to multinomial distribution. Suppose E1,E2,….Ek are k mutually exclusive and exhaustive outcomes of a trial with the respective probabilities p1,p2…..,pk.

The probability that E1 occurs x1 times, E2 occurs x2 times …and Ek, occurs xk times in n independent observations, is given by

multinomial distribution

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