Does This Account For Mulligans Or Scry?

No — it models pure random draws. Selection effects like mulligans, scry and tutors only improve your odds beyond these numbers.

What Math Does It Use?

The hypergeometric distribution — drawing without replacement — evaluated exactly via log-gamma, not simulated.

Card Draw Probability Calculator

Exact hypergeometric odds of drawing your key cards — deck size, copies and draws in, a full exactly / at-least table out.

Deck & Draw

Exact hypergeometric odds — no simulation, no rounding tricks.

Cards In DeckCopies You WantCards Drawn

Copies Drawn	Exactly	At Least
0	60.05%	100%
1	33.63%	39.95%
2	5.93%	6.32%
3	0.380%	0.388%
4	7.18e-3%	7.18e-3%

Assumes a shuffled deck with no card selection, scry or mulligans — those all raise your real-world odds.

At Least 1 Copy39.95%

Exactly 1 Copy33.63%

None At All60.05%

Expected Copies0.47

With 4 copies in a 60-card deck, drawing 7 sees 39.95% odds of hitting one.

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What Is the Card Draw Probability Calculator?

The Card Draw Probability Calculator uses the exact hypergeometric distribution to answer the deck-builder's question: if I run K copies in an N-card deck and draw n cards, what are the odds I see one? It shows a full table of exactly-k and at-least-k probabilities plus the expected number of copies drawn, computed with log-gamma math that stays precise even for large decks.

How It Works

Enter your deck size, how many copies of the card you run, and how many cards you'll draw (quick buttons cover a 7-card opening hand and later turns). The table updates instantly.

When to Use It

Use it when tuning Magic, Pokémon, Yu-Gi-Oh, Lorcana or any TCG decklist — how many lands, ratios of combo pieces, or whether 3 copies is enough to see one by turn five.

Frequently Asked Questions

Does This Account For Mulligans Or Scry?: No — it models pure random draws. Selection effects like mulligans, scry and tutors only improve your odds beyond these numbers.
What Math Does It Use?: The hypergeometric distribution — drawing without replacement — evaluated exactly via log-gamma, not simulated.

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