How to Use the Card Draw Probability Calculator
This calculator uses the hypergeometric distribution to find the probability of drawing your target card(s) in an opening hand. It applies to MTG, Yu-Gi-Oh!, Pokémon TCG, and any card game where you draw from a finite deck without replacement.
P(X=k) = C(K,k)×C(N-K,n-k)/C(N,n), where N = deck size, K = target cards in deck, n = hand size, k = desired count. The calculator also shows the cumulative probability (at least k cards).
Frequently Asked Questions
I run 4 copies of a card in a 60-card deck. What are my odds?
Enter N=60, K=4, n=7 (or your hand size), k=1. The result is your opening hand odds of drawing at least one copy.
Can I calculate odds for multiple different cards?
This calculator handles a single card type. For multi-card combinations, conditional probability calculations would be needed.