The binomial distribution is a statistical model that describes the number of successes in a fixed number of independent trials, each with the same probability of success. It is commonly used in scenarios where there are two possible outcomes, such as success or failure, yes or no, or heads or tails.
In a binomial experiment, the outcomes are counted over a set number of trials, denoted as n, and the probability of success in each trial is represented as p. The distribution helps calculate the likelihood of achieving a specific number of successes, making it useful in fields like finance, healthcare, and quality control.