What is it: Multinomial Distribution is a generalization of the binomial distribution. The binomial distribution gives the probability of the number of "successes" and "failures" in n independent trials of a two-outcome process. The probability of "success" and "failure" in any one trial is given by the fixed probabilities p and q = 1–p. The multinomial distribution gives the probability of each combination of outcomes in n independent trials of a k-outcome process. The probability of each outcome in any one trial is given by the fixed probabilities p1,...,pk.
Why use it: Used to calculate the probability of a specific number of successes for a certain number of trials.
