Vandermonde's Identity - The Hypergeometric Probability Distribution

The Hypergeometric Probability Distribution

When both sides have been divided by the expression on the left, so that the sum is 1, then the terms of the sum may be interpreted as probabilities. The resulting probability distribution is the hypergeometric distribution. That is the probability distribution of the number of red marbles in r draws without replacement from an urn containing n red and m blue marbles.

Read more about this topic:  Vandermonde's Identity

Famous quotes containing the words probability and/or distribution:

    The probability of learning something unusual from a newspaper is far greater than that of experiencing it; in other words, it is in the realm of the abstract that the more important things happen in these times, and it is the unimportant that happens in real life.
    Robert Musil (1880–1942)

    Classical and romantic: private language of a family quarrel, a dead dispute over the distribution of emphasis between man and nature.
    Cyril Connolly (1903–1974)