Multinomial Formula Probability. P 1 n 1 p 2 n 2. Probability and distributions formulas list online.
X1 xk p x1. Thus the result follows from the additive property of probability. For example it models the probability of counts for each side of a k sided die rolled n times.
P 1 0 40 probability player a wins p 2 0 35 probability player b wins p 3 0 25 probability of a draw the formula for k outcomes is.
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. X1 xk p x1. Thus the result follows from the additive property of probability. Note that the binomial distribution is a special case of the multinomial when k 2.
