Probability calculator

Pick the kind of question: two independent events, or the chance of a number of successes in repeated tries.

Your answer

Both A and B15 %
A or B (at least one)65 %
Neither35 %
Exactly one50 %

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How we worked it out

Updated as you change the numbers.

  1. Both = P(A) × P(B). Either = P(A) + P(B) − P(A)P(B). Neither = (1 − P(A))(1 − P(B)).

Method and assumptions

For independent events the probability that both happen is the product. The binomial distribution counts successes in a fixed number of independent tries with the same chance each time.

Questions

What is the chance of at least one six in four rolls of a die?

1 − (5/6)⁴ ≈ 51.77%.

Sources

Method and figures checked on . Every worked answer on this page is covered by an automated test. Found a mistake? Tell us.

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