EXAMPLE:\
Assume we are playing a card game with a regular deck of 52 cards,
where 16 of these are ``face cards'' and each ``hand'' consists of 10
randomly selected cards. Using combinations, find the probability of
getting 4 face cards in a hand of 10 cards. We know there are
possible ``hands'' and 
possible hands with 4 face cards, therefore
The distribution we derived above is called the hypergeometric distribution. If we can define objects as success/failure, and we have N total items (N=52 cards), with M successes in the population (M=16 face cards) and n items chosen (n=10 cards per hand), then
For our previous example,
For the hypergeometric distribution,
If we let 
, then
Note that except for 
, this is the same as the mean
and the variance for the binomial distribution. C is called the
finite population correction.