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Open toolBinomial Distribution Calculator
Calculate the probability of exactly k binomial successes. Trials are independent with the same success probability.
Free to useNo sign-upRuns in your browser
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Enter the inputs, then select Calculate result.
Your result
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How Binomial Distribution Calculator works
Calculate the probability of exactly k binomial successes.
Trials are independent with the same success probability. Whole numbers 0 ≤ k ≤ n ≤ 1,000. Returns the point probability, not cumulative probability. Finite real numbers only. Display uses up to 12 significant digits; binary floating-point arithmetic can introduce rounding.
How to use Binomial Distribution Calculator
Follow the labelled inputs.
Enter independent trials n
Replace the example with independent trials n. The field labels specify the expected format and units.
Input and settings
Check the remaining inputs
Set exact successes k, success probability per trial. Trials are independent with the same success probability.
Tool result
Run, review and save
Select Calculate result. Review the calculated result, then copy it or download the result text.
Review the details
Examples and uses for Binomial Distribution Calculator
Check the supplied example
The starting example produces 0.1171875. Calculate the probability of exactly k binomial successes.
Use your own inputs
Read the labels for independent trials n and exact successes k, success probability per trial. Trials are independent with the same success probability.
Record a reviewed result
Copy the calculated result into your notes. Keep the formula and assumptions with it if someone else needs to reproduce the calculation.
How to read the result
Read the units and assumptions with the output.
Calculate the probability of exactly k binomial successes.
Trials are independent with the same success probability. Whole numbers 0 ≤ k ≤ n ≤ 1,000. Returns the point probability, not cumulative probability. Finite real numbers only. Display uses up to 12 significant digits; binary floating-point arithmetic can introduce rounding.
Supported input and limits
Check the stated scope before you run it.
Trials are independent with the same success probability. Whole numbers 0 ≤ k ≤ n ≤ 1,000. Returns the point probability, not cumulative probability. Finite real numbers only. Display uses up to 12 significant digits; binary floating-point arithmetic can introduce rounding.
The input stays in this browser. Copy result and Download save the same displayed text.
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Binomial Distribution Calculator: common questions
Answers about using Binomial Distribution Calculator and understanding its results.
Which inputs does this tool accept?
Trials are independent with the same success probability. Whole numbers 0 ≤ k ≤ n ≤ 1,000. Returns the point probability, not cumulative probability. Finite real numbers only. Display uses up to 12 significant digits; binary floating-point arithmetic can introduce rounding.
Can I copy or download the result?
Yes. Copy result copies the displayed text, and Download saves the same result as a text file. Calculations run in your browser without an account.
Calculate result with your input
Check the calculated result, then copy or download it.