Indeed, consider a collection of n items from which you want to take a sample of size r without replacement. If \(n_1\) of the items are "desired" and the remaining \(n_2 = n - n_1\) are not, let the random variable X measure the number of items from the first group in your sample with \(R = \{0, 1, ..., min {r,n_1} \}\text{.}\) The resulting collection of probabilities is called a Hypergeometric Distribution.