Multinomial Distribution
Explore joint category counts in fixed independent trials, exact ordering probabilities, binomial marginals and negative count covariance.
Free theory articleExplore joint category counts in fixed independent trials, exact ordering probabilities, binomial marginals and negative count covariance.
Concept & interpretation
Repeat an experiment a fixed number of times. Each trial independently produces exactly one category, with the same category probabilities on every trial. The multinomial distribution describes the joint totals. This explorer uses three categories A, B and C. Its count vectors occupy a triangle because A + B + C must equal the trial count.