Probability Calculator

Quickly compute probabilities, combinations, permutations, binomial probabilities and normal approximations.

Select mode Simple probability (favorable / total) Complement probability (1 - P) Union P(A ∪ B) Intersection P(A ∩ B) Conditional P(A | B) Permutations nPr Combinations nCr Binomial probability Normal approximation (z & CDF)

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Quick notes

• Probabilities should be entered as numbers (e.g., 0.25 or 25/100). For counts, use integers.
• Combinations and permutations assume 0 ≤ r ≤ n and integer inputs.
• Binomial: P(X = k) = C(n,k) p^k (1-p)^(n-k).
• Normal approximation uses standard normal CDF via an approximation.