Flip a Coin Streak Probability Calculator
ProbabilityofONESPECIFIEDall-headsblock ofnindependentfairtosses,not anyrunoccurrenceinlongersequence.
Description
The probability of one specified all-heads block differs from the chance of finding a run somewhere in many tosses.
The probability of one specified all-heads block differs from the chance of finding a run somewhere in many tosses.1
This calculator handles a single block of independent fair coin tosses of the chosen length.
When to use Flip a Coin Streak Probability Calculator
Use this tool to apply the stated flip a coin streak probability calculator operation with an explicit input and unit basis.
How to use Flip a Coin Streak Probability Calculator and how it works
- Establish the text or game convention described above.
- Enter actualSpecifiedStreakLength and run the tool.
- Read result.value using the output meanings below.
- If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualSpecifiedStreakLength | Specified Streak Length. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; integer from 1 to 1000000; further conditions in the algorithm |
Require integer streak length 1–1,000,000 and calculate 2 to the negative length. Very long blocks can round to zero in binary floating-point; no search over overlapping runs or larger toss histories is performed.
P(one specified all-heads block of n tosses) = 2^(−n) Apply the declared units, ordering and branch conditions.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the declared output fields. | object |
| result.value | Probability in [0,1] under the declared model. | number |
{
"input": {
"actualSpecifiedStreakLength": 3
},
"output": {
"result": {
"value": 0.125
}
}
}Limitations and assumptions
The output applies the declared operation to the values you supply. Establish the measurement basis, units, coefficients and any caller-selected rules before interpreting it. The tool does not independently collect or verify observations or decide whether a model or reference applies.
Supply explicit required fields with the documented types and dense aligned arrays. Unknown fields, wrong types and nonfinite numbers are rejected. Branch-specific constraints are explained above. A returned boolean, signed difference or tied result follows the stated convention; an input error instead means the required input contract was not satisfied. Very large inputs or outputs may be rejected by shared resource limits.
Alternative or Complementary methods
For a related operation, use Gambler's Ruin Probability Calculator. Gambler’s ruin is the chance that a fixed-step bankroll reaches zero before a chosen target.
For a related operation, use Coin Flip Best-of-N Decider. A best-of-an-odd-number coin decision uses a majority to avoid a tie.
References
Similar or alternative tools
- Gambler's Ruin Probability Calculator
Gambler’s ruin is the chance that a fixed-step bankroll reaches zero before a chosen target.
- Coin Flip Best-of-N Decider
A best-of-an-odd-number coin decision uses a majority to avoid a tie.