Math

Probability Calculator

Calculate the probability of one event, its complement, and simple independent AND/OR combinations.

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Probability Calculator

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Statistics & Probability

Averages, standard deviation, z-scores, normal distributions and probability calculations.

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How to use this probability calculator

Enter the values requested above and select Calculate. Change any input to compare another scenario. The calculation runs locally in your browser and does not require an account.

Formula and method

For independent events, P(A and B) = P(A)×P(B). P(A or B) = P(A)+P(B)−P(A)P(B).

Example

If A has probability 0.5 and B has probability 0.25, independent P(A and B) is 0.125.

What this calculator is useful for

Calculate the probability of one event, its complement, and simple independent AND/OR combinations. The result is intended for quick estimates, checking arithmetic and comparing scenarios. When a result affects a contract, tax filing, medical decision, building-code requirement or other high-stakes situation, verify the result with the appropriate professional or authoritative source.

Combine independent events

If event A has probability 0.40 and independent event B has probability 0.25, then P(A and B) = 0.40 × 0.25 = 0.10. The probability that at least one occurs is 0.40 + 0.25 − 0.10 = 0.55.

Critical assumption: these “and” and “or” formulas assume independence. If events affect each other, you need conditional or joint probabilities instead; entering marginal probabilities alone cannot give a reliable combined result.

Frequently asked questions

What does the Probability Calculator calculate?

Calculate the probability of one event, its complement, and simple independent AND/OR combinations.

How does the Probability Calculator work?

For independent events, P(A and B) = P(A)×P(B). P(A or B) = P(A)+P(B)−P(A)P(B).

Is the Probability Calculator free to use?

Yes. ERICH Calculators is free to use and does not require an account.

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Method, assumptions & corrections

See how formulas, sources and limitations are handled across ERICH Calculators.