Binomial Probability Calculator
Find the binomial probability of k successes.
Result
How to use
- Enter your values in the fields above.
- Press Calculate to see your result instantly.
- Use the Share button to copy a link to your result.
About this calculator
This calculator computes the binomial probability formula, P(X=k) = C(n,k) × pᵏ × (1−p)ⁿ⁻ᵏ, the probability of getting exactly k successes in n independent trials each with success probability p — the classic "coin flip" or "pass/fail" probability model.
It's used in statistics coursework, by quality control teams estimating defect rates in a batch, and in genetics for calculating the probability of a specific number of offspring inheriting a trait, or in polling analysis for estimating outcome probabilities from a known success rate.
Was this helpful?
Popular calculators
Loan Calculator
Monthly payment, total interest and full amortization schedule.
Percentage Calculator
Percent change, percent of, and ratio calculations.
Discount Calculator
Calculate final price, savings, and discount amount.
BMI Calculator
Body mass index from height and weight (metric or imperial).
Age Calculator
Compute your exact age in years, months and days from a birth date.
Compound Interest Calculator
Calculate the final amount and interest earned with compounding.
All Calculators
No calculators found
Comments (0)