Multinomial Formula Probability. For n independent trials each of which leads to a success for exactly one of k categories with each category having a given fixed success probability the multinomial distribution gives the probability of any particular combination of numbers of successes for the various categories. Probability and distributions formulas list online.
The probability mass function for multinomial is f x n. P xk supported on x x1 xk where each xi is a non negative integer and their sum is n. P 1 n 1 p 2 n 2.
The multinomial distribution is a generalization of the binomial distribution.
P k n k. N 1. X1 xk p x1. P 1 n 1 p 2 n 2.
