Statistics · Probability
Binomial probability of exactly k successes
Calculate probability of exactly k successes using the displayed relationship and entered values.
Method and scope
P(X=k) = C(n,k) pᵏ(1−p)ⁿ⁻ᵏ
Use binomial probability of exactly k successes for educational calculation or a clearly scoped arithmetic estimate. Intended for Learners, General educational use.
Inputs- Independent trial count n — 1
- Success count k — 1
- Success probability p (0 to 1) — 1
SOURCE AND LIMITS
Assumptions: The displayed equation is applied to the entered values in the declared units. Any financial rate is interpreted per the period stated in its input label; no jurisdiction-specific fees, taxes, or product terms are inferred.
Limitations: Review the equation, input units, assumptions, and method steps before using the result. This tool is not professional advice.
Method version 1.0.0 · Unit registry and result provenance are shown after calculation. This tool is limited to the documented scope.Explore related fields
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