A binomial experiment is a statistical experiment that has exactly two possible outcomes for each trial, often referred to as "success" and "failure." These trials are independent, meaning the outcome of one trial does not affect the others. The number of trials, denoted as n, is fixed, and the probability of success, denoted as p, remains constant throughout the trials. In a binomial experiment, the goal is to determine the probability of achieving a specific number of successes, denoted as k, in the n trials. The results can be analyzed using the binomial probability formula, which helps in calculating the likelihood of different outcomes based on the values of n, p, and k.