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- Function:
*unsigned int***gsl_ran_hypergeometric***(const gsl_rng **`r`, unsigned int`n1`, unsigned int`n2`, unsigned int`t`) -
This function returns a random integer from the hypergeometric distribution. The probability distribution for hypergeometric random variates is,

p(k) = C(n_1, k) C(n_2, t - k) / C(n_1 + n_2, t)

where

*C(a,b) = a!/(b!(a-b)!)*and*t <= n_1 + n_2*. The domain of*k*is*max(0,t-n_2), ..., min(t,n_1)*.If a population contains

*n_1*elements of “type 1” and*n_2*elements of “type 2” then the hypergeometric distribution gives the probability of obtaining*k*elements of “type 1” in*t*samples from the population without replacement.

- Function:
*double***gsl_ran_hypergeometric_pdf***(unsigned int*`k`, unsigned int`n1`, unsigned int`n2`, unsigned int`t`) This function computes the probability

*p(k)*of obtaining`k`from a hypergeometric distribution with parameters`n1`,`n2`,`t`, using the formula given above.

- Function:
*double***gsl_cdf_hypergeometric_P***(unsigned int*`k`, unsigned int`n1`, unsigned int`n2`, unsigned int`t`) - Function:
*double***gsl_cdf_hypergeometric_Q***(unsigned int*`k`, unsigned int`n1`, unsigned int`n2`, unsigned int`t`) These functions compute the cumulative distribution functions

*P(k)*,*Q(k)*for the hypergeometric distribution with parameters`n1`,`n2`and`t`.