Free Coin Flip Probability Calculator
Chance of getting exactly k heads in n flips.
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Inputs
Result
P(exactly 6 heads)
20.508%
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Short answer
Chance of getting exactly k heads in n flips.
What is the Coin Flip Probability Calculator?
Chance of getting exactly k heads in n flips.
How does the Coin Flip Probability Calculator work?
Enter the inputs above and read the result.
Formula
Variables
C(n,k)Combinations of n choose k
Explanation
Fair-coin flips follow a binomial distribution with p = 0.5.
Examples
Applications
Advantages
Limitations
Common mistakes
Tips
Related concepts
The Coin Flip Probability Calculator sits inside the Math Calculators hub, in the statistics & probability cluster. Describing data and quantifying uncertainty. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.
Practical use cases and industry applications
Understanding Coin Flip Probability
Chance of getting exactly k heads in n flips. Within math calculators, coin flip probability belongs to the statistics & probability cluster, where it shares terminology and assumptions with closely related tools.
Learning how coin flip probability is calculated
Fair-coin flips follow a binomial distribution with p = 0.5. Working through the variables one at a time — C(n,k) — makes the result reproducible by hand and easier to sanity-check.
Using coin flip probability to make a decision
Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.
How coin flip probability compares with related measures
distribution, dispersion, significance, sample all describe adjacent aspects of statistics & probability. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.
Frequently asked questions
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