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Card probability calculator

Define the deck, matching cards and draw size.

Probability: —

Fill in the fields above — the result is computed on this page.

Deck
—
Matching
—
Drawn
—

Number of matches

Exact hypergeometric probabilities.

Distribution

Matches Probability
Fill in the fields above — the result is computed on this page.
What these numbers mean
  • Check that K and n do not exceed N.
  • Choose exact or at least.

Jokers and special deck rules must be included explicitly in N and K.

How to use this page
  1. Enter deck parameters.
  2. Read the distribution.

What this page does not do: Jokers and special deck rules must be included explicitly in N and K.

Further reading

The model samples without replacement and therefore does not treat successive cards as independent.

Frequently asked questions

Is this with replacement?

No, the hypergeometric model is without replacement.

See also

← All calculators

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Offline app and draw notifications

My saved selections

Selections saved only in this browser. Numbers are shown exactly as saved; this is not a lottery ticket.

Open the My saved selections hub
Restore with preview

Restore in the hub: review the file and confirm first. Both old backups and the complete selections + journal backup are supported. Nothing is uploaded.