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.

Multinomial distribution, in statistics, a generalization of the binomial distribution, which admits only two values (such as success and failure), to more than two values.

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 a probability distribution that models the outcomes of repeated experiments where each trial results in one of three or more categories.

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.

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