Today I Learned

Some of the things I've learned every day since Oct 10, 2016

40: Multinomial Distribution

multinomial distribution is a generalization of the binomial distribution. Where an experiment with a binomial distribution has 2 outcomes, a multinomial experiment has k outcomes, and where a binomial distribution gives the probabilities of exactly m ‘successes’ out of n experiments, a multinomial distribution gives the probabilities of all possible combinations of numbers of successes of the k outcomes.

For instance, if one rolls a six-sided die k times, the number of 1s, 2s, 3s, 4s, 5s, and 6s seen in those k rolls follows a multinomial distribution.

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