About the Card Probability Calculator
Hypergeometric probability of drawing k target cards in a hand — for poker, Magic, bridge or any deck.
Also known as: hypergeometric calculator, deck draw probability, card odds, draw probability.
How to use this calculator
- Enter cards in deck, target cards in deck, cards drawn, target cards wanted (at least).
- The result updates instantly as you type — press Calculate (or Enter) at any time.
- Review the breakdown shown under the main result.
- Use Copy result or Share to save the answer or send a link with your inputs.
Formula
P(X = k) = C(K, k)·C(N − K, n − k) / C(N, n)
Worked example
Using the values pre-filled in the calculator above:
- Cards in deck = 52
- Target cards in deck = 4
- Cards drawn = 5
- Target cards wanted (at least) = 1
the calculator returns:
- P(at least 1): 34.1158%
- P(exactly 1): 29.9474%
- P(none): 65.8842%