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Probability Calculators

Coin Flip Probability Calculator

Probability of getting exactly, at least or at most k heads in n coin tosses, for fair or biased coins.

Enter values

Results update as you type.

Result

P(exactly 5 heads)

0.24609375

P(at most 5)
0.62304688
P(at least 5)
0.62304688
P(all heads)
0.00097656

About the Coin Flip Probability Calculator

Probability of getting exactly, at least or at most k heads in n coin tosses, for fair or biased coins.

Also known as: coin toss probability, heads or tails probability, coin probability, probability of heads.

How to use this calculator

  1. Enter flips, heads, p(heads).
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Review the breakdown shown under the main result.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

P = C(n, k)·pᵏ·(1 − p)ⁿ⁻ᵏ

Worked example

Using the values pre-filled in the calculator above:

  • Flips = 10
  • Heads = 5
  • P(heads) = 0.5

the calculator returns:

  • P(exactly 5 heads): 0.24609375
  • P(at most 5): 0.62304688
  • P(at least 5): 0.62304688
  • P(all heads): 0.00097656