Binomial Probability Calculator
Compute P(X=k) for a binomial distribution.
Input Data
Input Trials n.
Input Successes k.
Input Success p.
Results
0.117188
P(X=k) = C(n,k) p^k (1−p)^(n−k).
At a glance:Binomial Probability Calculator: enter parameters to compute results; complements related calculators.
Formula
P(X=k) = C(n,k) · p^k · (1−p)^(n−k).
How to Use
- Enter trials n, successes k and probability p.
- It returns the point probability.
Case Studies
n=10,k=3,p=0.5 → P≈0.11719
C(10,3)=120, 120·0.125·0.0078125 = 0.1171875.
FAQ
Binomial vs sample proportion?
Binomial gives a point probability; sample proportion estimates population p.
Related Tools
References
Content review: Calculatorism Science Team. Formula and numeric tests verified; results for reference only.