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).

Bi means two (like a bicycle has two wheels) ... ... so this is about things with two results. Tossing a Coin: Did we get Heads (H) or.

The binomial distribution evaluates the probability for an outcome to either succeed or fail. These are called mutually exclusive outcomes, which means you either have one or the other — but not both at …

What is a Binomial? A binomial is an algebraic expression that has two terms. In other words, an algebraic expression consisting of two unlike terms having constants and variables is a binomial …

The binomial distribution is, in essence, the probability distribution of the number of heads resulting from flipping a weighted coin multiple times.

Use the binomial distribution formula to find the probability, mean, and variance for a binomial distribution. Complete with worked examples.

Dec 17, 2025 · 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 …

Jan 2, 2025 · Experiments that satisfy each of these criteria are called binomial experiments. A binomial experiment is an experiment with a fixed number of repeated independent binomial trials, where …

The binomial distribution is a key concept in probability that models situations where you repeat the same experiment several times, and each time there are only two possible outcomes—success or …

Dec 19, 2025 · Binomial distribution, in statistics, a common distribution function for discrete processes in which a fixed probability prevails for each independently generated value.