MTG Hypergeometric Calculator

Calculate the probability of drawing specific cards by any turn. Works for Commander, Modern, Standard, or any deck size.

Deck Size

Copies in Deck

Through Turn

On the

Turn	Cards Seen	P(at least 1)	P(exactly 0)	Expected Copies

P(X ≥ 1) = 1 - C(N-K, n) / C(N, n) where N = deck size, K = copies, n = cards seen

How to Use

Commander singleton — Set deck to 99, copies to 1, to see how likely you are to draw your key card each turn.
Modern 4-of — Set deck to 60, copies to 4, to check your opening hand odds for a playset.
Land drops — Set copies to your land count (e.g., 36) to check mana consistency.
On the play vs draw — On the play you see 7 cards turn 1 (no draw). On the draw you see 8.

Card data provided by Scryfall. Not affiliated with Wizards of the Coast.