$$\mathrm{P}(X=k) = {{{K \choose k} {{N-K} \choose {n-k}}}\over {N \choose n}}, \quad s.t. \quad \begin{align}N&\in \left\{0,1,2,\dots\right\} \\ K&\in \left\{0,1,2,\dots,N\right\} \\ n&\in \left\{0,1,2,\dots,N\right\}\end{align}\, \quad \scriptstyle{k\, \in\, \left\{\max{(0,\, n+K-N)},\, \dots,\, \min{(K,\, n )}\right\}}\,$$ # Distributions |