Worksheet for how to calculate Hypergeometric Distribution

The Hypergeometric Distribution is a discrete probability distribution that describes the number of successes in a sequence of n draws from a finite population without replacement, just as the binomial distribution describes the number of successes for draws with replacement. This worksheet help you to understand how to perform such calculations. The formula used in this calculation is,
H(x; N, n, k) = [ ^kC_x ] [ ^N-kC_n-x ] / [ ^NC_n ]
where,
N = Population size.
K = Number of population in success
n = Sample size
x = Number of success in sample.

Example:
Calculate the Hypergeometric Distribution whose Population size is 12, Number of population in success is 10, Sample size is 8 & Number of success in sample is 6.
N = 12, K = 10, n = 8, x = 6 substitute these values in the above formula,
H(x; N, n, k) = [ ^kC_x ] [ ^N-kC_n-x ] / [ ^NC_n ]
  = [ ¹⁰C₆ ] [ ^{12 - 10}C_{8- 6} ] / [ ¹²C₈ ]
  = 210/495
  = 0.4242

When you try such calculations on your own, this hypergeometric distribution calculator can be used to verify your results of calculations.