The Negative Binomial Distribution is a probability distribution that models the number of trials needed to achieve a specified number of successes in a series of independent and identically distributed Bernoulli trials. Each trial has two possible outcomes: success or failure. This distribution is particularly useful in scenarios where the number of successes is fixed, but the number of trials can vary. In the Negative Binomial Distribution, the probability of achieving a certain number of successes after a given number of trials is calculated using parameters such as the number of successes required and the probability of success in each trial. It is often applied in fields like biology, economics, and quality control to analyze over-dispersed count data.