Hypergeometric distribution related calculation

App description

Hypergeometric distribution is a kind of discrete probability
distribution in statistics. It describes the number of
successful extraction of n objects from a finite number of
objects (including M objects of the specified class) without
putting them back. It is called hypergeometric distribution
because its form is related to the coefficient of series
expansion of "hypergeometric function".

The parameters of hypergeometric distribution are M, N, n,
which are denoted as X~H (N, M, n).

This page is about the calculation of hypergeometric distribution. There are N elements in two categories.

There are M belonging to the first category and the remaining N-M belonging to the second category. Sampling from the ground

Take n, n is not greater than M or greater than N-M, let X denote the first class of the n elements

For the number of primes, X obeys the hypergeometric distribution.