Binomial Distribution Definition

The distribution of the probability of a specified number of successes in a given number of independent trials, in each of which the probability of success is the same.

(statistics) The discrete probability distribution of the number of successes in a sequence of n independent yes/no experiments, each of which yields success with probability p.

The frequency distribution of the probability of a specified number of successes in an arbitrary number of repeated independent Bernoulli trials.