Combinatorial Probability Calculator

Probability from favorable and total outcomes

How to use

  1. Enter your values in the fields above.
  2. Press Calculate to see your result instantly.
  3. Use the Share button to copy a link to your result.

About this calculator

This calculator computes classical probability as favorable outcomes ÷ total equally-likely outcomes, and converts the same figure into odds (favorable : unfavorable) for anyone more used to reading betting-style ratios. It's the definition behind every textbook dice, card and coin problem — count what counts as a "win," count everything that can happen, and divide.

Students use it for combinatorics homework where the favorable and total counts come from permutations or combinations worked out beforehand, and it's the same arithmetic bettors and game designers use to convert a raw outcome count into a probability or a payout ratio.

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