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Binomial Distribution is a probability distribution used to model the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes: success or failure. Once you know that your distribution is binomial, you can apply the binomial distribution formula to calculate the probability. The Binomial Distribution Formula In probability theory and statistics, the binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, either Success or Failure. For example, if we toss a coin, there could be only two possible outcomes: heads or tails, and if any test is taken, then there could be only two results: pass or fail. This distribution is also called a binomial probability distribution . A simple introduction to the Binomial distribution , including a formal definition and several examples.