Binomial Probability Calculator

Math Tools

Chance of exactly, at most or at least k successes

FreePrivateInstant
Number of trials (n)
Probability of success (p, 0–1)
Number of successes (k)
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Binomial Probability Calculator — at a glance

Find the chance of getting k successes in n tries.

You enter
10 trials
p = 0.5
k = 6
Calculate
Result
P(X = k)

How to use it — step by step

Number of trials, success probability and k.

1

Enter your values

Fill in the fields. Default numbers are shown so you can see how it works.

2

Press Calculate

The answer appears at once as large result cards.

3

Copy or share

Copy the result, or share a link that opens with your numbers filled in.

Pro tips

Small things that make the result better.

✦Trials must be independent with the same chance each time.
✦Enter the probability as a decimal, like 0.25.
✦Coin flips and quality checks fit well.

Quick facts

Freeno signup
Privateruns in your browser
Instantresult in a second
No limituse it as often as you like

Frequently Asked Questions

What is a binomial experiment?+

A fixed number of independent tries, each either a success or a failure with the same chance.

How large can n be?+

Up to 10,000 trials.

Is my data safe?+

Yes. Everything runs inside your own browser. Your text, files and images are never uploaded to any server.

Is this tool really free?+

Yes — completely free, no signup, no watermark and no usage limit.

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