def. Hypergeometric Distribution. Describes probabilities with successive draws without replacement. In a population of with members containing the feature, among trials the probability of drawing with the feature is:

def. Geometric Distribution. let s.t. , where is the number of trials until the first success, and success probability is . is Geometrically p-Distributed:

  • where is the number of total trials and is the probability of an event—normally, geometric distributions are used to model the number of successful events before a failure.
  • e.g. the number of basketball free throws until a failure


is also a geometric distribution; the number of failures before a success.

def. Negative Binomial Distribution. let describe the number of successes with probability before failures. is a Negative Binomal Distribution where: