Calculates values for a hypergeometric distribution.

HYPGEOMDIST(x, n, M, N)

The hypergeometric distribution is a discrete probability distribution giving the probability of x successes in a sequence of n draws (without replacement) from a finite population of size N which contains M successes.

HYPGEOMDIST calculates the probability density function of the hypergeometric distribution:

which is

HYPGEOMDIST(2, 3, 3, 6)

returns 0.45. If an urn contains 3 red balls and 3 green balls, the probability that 2 red balls will be selected after 3 draws without replacement is 27/60 = 0.45.

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