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.

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

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

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.

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

A way to deeper understand the multinomial is to derive the joint probability function for a particular multinomial. Consider the multinomial from the previous example.

The multinomial distribution can be used to answer questions such as" "If these two chess players played $12$ games, what is the probability that Player $A$ would win $7$ games, Player $B$ …

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