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Probability Calculator

Enter the probabilities of two independent events to see the chance of both, either or neither happening.

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The rules used

  • A and B (both): P(A) × P(B), for independent events.
  • A or B (at least one): P(A) + P(B) − P(A) × P(B).
  • Not A: 1 − P(A).
  • At least once in n tries: 1 − (1 − P(A))ⁿ. With a 1-in-6 chance per roll, the chance of at least one six in 4 rolls is 1 − (5/6)⁴ ≈ 51.8%.

Independent events

These formulas assume the events don't affect each other, like two coin tosses or two dice. If one event changes the chance of the other (drawing cards without putting them back, or rain and traffic jams), the results won't be exact. Those need conditional probability.

Odds

Odds compare the chance of not happening with happening. A probability of 20% is odds of 1 : 4. Enter probabilities as percentages: 0.5 as a fraction is 50%.

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