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Two-Game Mixed Win-Rate Calculator — result sheet
Calculate the expected win probability for a random mix of two independent games.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Mixed win probability=P(A)×winA+(1−P(A))×winB.
The calculator shows the one-step expected mixture only; it does not claim to reproduce a state-dependent Parrondo process.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Game A win probability — minimum 0; maximum 1
- Game B win probability — minimum 0; maximum 1
- Probability of selecting game A — minimum 0; maximum 1
Worked example
| Input | Value |
|---|---|
| Game A win probability | 0.49 |
| Game B win probability | 0.49 |
| Probability of selecting game A | 0.5 |
Mixed win probability =49%.
Assumptions and limits
- Game outcomes and selection use the supplied independent probabilities.
- The strategy chooses one game for one trial.
- Capital state, history dependence, transition rules, and long-run paradox behavior 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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