The Binomial Distribution and the Multinomial Distribution

Here we introduce the binomial distribution, which is one of the most important distributions in all of probability. It will be the basis of the Normal distribution and the Poisson distribution. The binomial distribution quantifies the probability of getting "r" successes in "n" Bernoulli trials. For example, the probability of getting 5 heads in 10 coin flips is Binomially distributed. We also introduce the more general multinomial distribution. This video was produced at the University of Washington, and we acknowledge funding support from the Boeing Company %%% CHAPTERS %%% 00:00 Intro 01:25 Binomial Coefficients 07:34 Defining the Multinomial Distribution 10:39 Proving the Formula 14:33 Outro