A hypergeometric probability distribution shows the probabilities associated with possible values of a discrete random variable when these values are generated by sampling with replacement and the probability of success, therefore, changes from one trial to the next.

Hypergeometric Probability

A statistical measure that calculates the likelihood of obtaining a specific number of successes from a finite population without replacement.

Discrete Random Variable

A variable that takes on a countable number of distinct values, often resulting from counting processes.

With Replacement

In sampling, "with replacement" means that once an item is selected, it's put back into the population before the next selection, making it possible to be chosen again.