# Documentation/How Tos/Calc: HYPGEOMDIST function

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## HYPGEOMDIST

Calculates values for a hypergeometric distribution.

### Syntax:

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

### Example:

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.

### Issues:

• The forthcoming international standard ODFF adds an extra parameter to this function, allowing the possibility to calculate the cumulative distribution function.
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