Hypergeometric distribution

Hypergeometric
Probability mass function
Hypergeometric PDF plot
Cumulative distribution function
Hypergeometric CDF plot
Parameters
Support
PMF
CDF where is the generalized hypergeometric function
Mean
Mode
Variance
Skewness
Excess kurtosis

MGF
CF

In probability theory and statistics, the hypergeometric distribution is a discrete probability distribution that describes the probability of successes (random draws for which the object drawn has a specified feature) in draws, without replacement, from a finite population of size that contains exactly objects with that feature, wherein each draw is either a success or a failure. In contrast, the binomial distribution describes the probability of successes in draws with replacement.