In probability theory, the multinomial distribution is a generalization of the binomial distribution. For example, it models the probability of counts for each side of a k -sided die rolled n times.

Dec 2, 2021 · A simple introduction to the multinomial distribution, including a formal definition and several examples.

Dec 3, 2025 · Then the joint distribution of , ..., is a multinomial distribution and is given by the corresponding coefficient of the multinomial series

Guide to Multinomial Distribution & its definition. We explain its properties, formula, calculator, comparison with binomial, & example.

Multinomial distribution calculator finds multinomial probability. Fast, easy, accurate. An online statistical table. Includes sample problems and solutions.

Aug 27, 2025 · The Multinomial Theorem lies at the heart of probability theory. It comes into play in assessing probabilities in experiments where more than one outcome can be expected.

This connection between the multinomial and Multinoulli distributions will be illustrated in detail in the rest of this lecture and will be used to demonstrate several properties of the multinomial …

The multinomial distribution is used to find probabilities in experiments where there are more than two outcomes. Definition and examples.

Nov 13, 2025 · Simply put, a multinomial distribution has several possible discrete outcomes. The binomial distribution is a subset of multinomial distributions that has only two possible outcomes.

Probabilistic text analysis Probabilities of word counts = multinomial distribution