Introduction to binomial probability distribution , binomial nomenclature, and binomial experiments. Includes problems with solutions. Plus a video lesson. The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials , each with the same probability of success. It models situations where each trial has exactly two possible outcomes—often called “success” and “failure.” The binomial distribution is a special case of the Poisson binomial distribution , which is the distribution of a sum of n independent non-identical Bernoulli trials B (pi). What Is Binomial Distribution? A binomial distribution is a type of discrete probability distribution that calculates the likelihood of a certain number of successes in a fixed number of independent trials, where each trial has only two possible outcomes: success or failure.

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