# Binomial Distribution

> Source: https://sukruyusufkaya.com/en/glossary/binom-dagilimi
> Updated: 2026-05-13T20:59:27.792Z
> Type: glossary
> Category: matematik-istatistik-optimizasyon
**TLDR:** A discrete distribution that models the number of successes in a fixed number of independent Bernoulli trials.

<p>The binomial distribution is used to model how many successes occur in a fixed number of independent trials. For example, how many of 100 customers will make a purchase or how many of 20 samples will test positive can be analyzed with this distribution. It can be seen as a natural extension of the Bernoulli distribution. It plays an important role in probability calculations, reliability analysis, and decision models. Whenever the number of trials is fixed and each trial has two possible outcomes, the binomial distribution becomes a powerful tool.</p>