How to use this betting tool
- Enter a constant win probability.
- Choose the number of consecutive wins in the target streak.
- Enter the total number of independent bets observed.
- Calculate the exact finite-sample run probability.
#093 · Bankroll & Risk Management Tool
Winning Streak Calculator
Measure how uncommon a run of consecutive wins is under a fixed independent win rate. The tool calculates both one specified run and at least one such run within a sample.
Calculator
Enter assumptions%
wins
bets
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What this tool calculates
A dynamic program tracks the chance of having no target run while ending with zero through k−1 consecutive wins.
One specified k-win sequence = pᵏ. At-least-one-run probability is 1 minus the summed no-run states after n bets.
The model assumes independent bets with the same win probability. Correlated selections or changing edges can materially alter the result.
Worked example
With a 50% win rate, one specified five-win sequence has probability 3.125%. Across 30 independent bets, overlapping opportunities make at least one run more likely.
| Per-bet win rate | 50% |
|---|---|
| Target | 5 consecutive wins |
| Sample | 30 independent bets |
Tips and limitations
- Streak opportunities overlap, so multiplying pᵏ by the number of windows is not exact.
- A streak is not evidence that the next bet is more likely to win.
- Keep the probability assumption separate from historical win rate uncertainty.
FAQ
How do I calculate the chance of five wins in a row?
For one specified block, raise the per-bet win probability to the fifth power.
Why is the chance within 30 bets not simply 26 times p to the fifth?
The 26 possible windows overlap, so their probabilities are not independent.
Does a winning streak change the next bet probability?
Not under this independent fixed-probability model.
Can the calculator handle a streak longer than the sample?
Yes; the probability of finding it is zero when target length exceeds the number of bets.
Are parlays treated as separate bets?
Only if each observation can reasonably be modeled as an independent trial with the same win probability.
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Model assumptions
| Trials | Independent |
|---|---|
| Win rate | Constant |
| Streak windows | Overlapping, calculated exactly |
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