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Exact Coin-Flip Count Probability Calculator — result sheet
Calculate the probability of exactly a selected number of heads in fair coin flips.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: P(exact heads)=C(flips,heads)/2^flips for a fair coin.
The exact count uses equally likely sequences rather than treating heads as a single favorable arrangement.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Number of flips — minimum 0; maximum 1000
- Exact heads — minimum 0; maximum 1000
Worked example
| Input | Value |
|---|---|
| Number of flips | 10 |
| Exact heads | 5 |
Probability =252/1024≈24.61%.
Assumptions and limits
- Flips and heads are whole numbers with heads no greater than flips.
- The coin is fair and flips are independent.
- Physical bias, dependence, stopping rules, and payout decisions are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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