Card Odds Calculator
Calculate the probability of drawing at least one target card from a deck using hypergeometric distribution.
How to Use the Card Odds Calculator
- Enter the total number of cards in the deck.
- Enter the number of copies of the target card in the deck.
- Enter how many cards will be drawn.
- Click Calculate to see the probability and expected hits.
Casos de Uso
- •Optimising card game deck building.
- •Calculating opening hand odds in trading card games.
- •Poker probability calculations.
- •Board game and card game design.
Fórmula
P(at least 1) = 1 − C(N−K, n) / C(N, n). N = deck size, K = target cards, n = cards drawn. Expected hits = n × K / N.
Preguntas Frecuentes
What is hypergeometric distribution?
It models the probability of drawing a specific number of successes from a finite population without replacement — perfect for card games.
How do I use this for Magic: The Gathering?
Set deck size to 60, enter the number of copies of a card, and the number of cards you will draw in your opening hand (7).
Is it free?
Yes, all calculators on OhMyCalc are completely free.