Binomial Cumulative Probability
Find the probability of at most k successes.
Your numbers
At most k successes
Use consistent units. The result follows the assumptions you enter.
Scenario comparison
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Formula
P(X≤k)=I₍₁₋ₚ₎(n−k,k+1)
Find the probability of at most k successes.
Worked example
- Trials n
- 10
- Maximum successes k
- 3
- Success probability (%)
- 50
- At most k successes
- 17.1875 %
- More than k successes
- 82.8125 %
Scope and limitations
Use consistent units. The result follows the assumptions you enter.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: c33c0534879a · Example checked: