Hypergeometric Distribution Calculator
Aria Murphy
Published Jan 20, 2026
Calculate the mean μ:
| μ = | nk |
| N |
| μ = | 10 x 24 |
| 60 |
| μ = | 240 |
| 60 |
μ = 4
Calculate the variance σ2
| σ2 = | nk(N - k)(N - n) |
| N2(N - 1) |
| σ2 = | (10)(24)(60 - 24)(60 - 10) |
| 602(60 - 1) |
| σ2 = | (240)()() |
| 3600(59) |
| σ2 = | 0 |
| 212400 |
σ2 = 0
Calculate the standard deviation σ:
σ = √σ2
σ = √0
σ = 0
How does the Hypergeometric Distribution Calculator work?
Free Hypergeometric Distribution Calculator - 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?
P(x;n,N,k) = (kCx) * (N - kCn - x)/NCnμ = nk/N
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?
- combination
- 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)! - distribution
- value range for a variable
- event
- a set of outcomes of an experiment to which a probability is assigned.
- factorial
- 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
- mean
- A statistical measurement also known as the average
- permutation
- a way in which a set or number of things can be ordered or arranged.
nPr = n!/(n - r)! - probability
- 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
- variance
- How far a set of random numbers are spead out from the mean
