## Definition of hypergeometric distribution

**:**a probability function

*f(x)*that gives the probability of obtaining exactly

*x*elements of one kind and

*n - x*elements of another if

*n*elements are chosen at random without replacement from a finite population containing

*N*elements of which

*M*are of the first kind and

*N - M*are of the second kind and that has the form {latex}f(x) = \frac{\binom{M}{x} \binom{N - M}{n - x}}{\binom{N}{n}}\text{where} \binom{M}{x} = \binom{M!}{x! (M - x)!}{/latex}