Card probability calculator
Define the deck, matching cards and draw size.
Number of matches
Exact hypergeometric probabilities.
Distribution
| Matches | Probability |
|---|---|
| Fill in the fields above — the result is computed on this page. | |
How do I use this page?
- Enter deck parameters.
- Read the distribution.
What this page does not do: Jokers and special deck rules must be included explicitly in N and K.
Further reading
Theory — how does the card probability calculator work?
This calculator finds the chance of drawing a given number of matching cards from a defined deck for a chosen draw size. It relies on the hypergeometric distribution, meaning cards are drawn without replacement, so each draw changes the composition of the remaining deck. Because of this, successive draws are not independent, unlike models that assume replacement. You only need the deck size, the number of matching cards and the draw size.
Frequently asked questions
Is this with replacement?
See also
A/B test calculator
Compare two proportions in an A/B test. Calculate conversion rates, difference, uplift, z score, p value and c
A/B test planning — sample size, MDE and duration
Plan a two-proportion experiment, estimate detectable effect and traffic duration.
ACF and PACF autocorrelation calculator
Calculate ACF and PACF across time-series lags. Review the chart, reference bounds and coefficient table.