40: Multinomial Distribution
November 19, 2016
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A multinomial distribution is a generalization of the binomial distribution. Where an experiment with a binomial distribution has 2 outcomes, a multinomial experiment has outcomes, and where a binomial distribution gives the probabilities of exactly ‘successes’ out of experiments, a multinomial distribution gives the probabilities of all possible combinations of numbers of successes of the outcomes.
For instance, if one rolls a six-sided die times, the number of 1s, 2s, 3s, 4s, 5s, and 6s seen in those rolls follows a multinomial distribution.