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Coin Flip Probability Calculator

Compute the probability of k heads in n fair coin flips.

Input Data

Flips

Results

Probability of exactly half heads (or configured k).
4
Explanatory note about the result.
正面 4 次,反面 6 次(共 10 次,比例 40.0% / 60.0%)。

At a glance:For a fair coin, P = C(n,k)·(0.5)^n where k is the number of heads. Complements combination and dice calculators.

Formula

P(k heads) = C(n,k) · 0.5ⁿ.

How to Use

  1. Enter the number of flips.
  2. The tool returns the probability.

Case Studies

n=10, k=5

P = C(10,5)·0.5^10 = 252/1024 ≈ 0.246.

FAQ

Why 0.5^n?

Each flip is independent with two equally likely outcomes.

Related Tools

References

Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Coin Flip Probability Calculator(/math/coin-flip)。