Hypergeometric Distribution Calculator

Enter Total Items (N) Enter number selected from Total items (n) Enter target pick (k) Enter selected items (x)

How does the Hypergeometric Distribution Calculator work?

Calculates the probability of drawing x objects out of a subgroup of k with n possibilities in a total group of N using the hypergeometric distribution.
This calculator has 4 inputs.

What 3 formulas are used for the Hypergeometric Distribution Calculator?

  1. P(x;n,N,k) = (kCx) * (N - kCn - x)/NCn
  2. μ = nk/N
  3. σ2 = nk(N - k)(N - n)/N2(N - 1)

For more math formulas, check out our Formula Dossier

What 10 concepts are covered in the Hypergeometric Distribution Calculator?

a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter
nPr = n!/r!(n - r)!
value range for a variable
a set of outcomes of an experiment to which a probability is assigned.
The product of an integer and all the integers below it
hypergeometric distribution
discrete probability distribution that describes the probability of k successes (random draws for which the object drawn has a specified feature) in ndraws, without replacement
A statistical measurement also known as the average
a way in which a set or number of things can be ordered or arranged.
nPr = n!/(n - r)!
the likelihood of an event happening. This value is always between 0 and 1.
P(Event Happening) = Number of Ways the Even Can Happen / Total Number of Outcomes
standard deviation
a measure of the amount of variation or dispersion of a set of values. The square root of variance
How far a set of random numbers are spead out from the mean

Hypergeometric Distribution Calculator Video