Roulette Payout Calculator

ActualcallerverifiedrouletteNEToddsledger,not infer winningprobability/roulettewheelrules;exacthalf-awaycurrencyminorunits. Boundedoffline arithmetic/sampling only;not gambling advice,fair physical randomness,secure randomness or predictive certainty.

Description

A roulette payout ledger uses the supplied net odds and observed win status to account for a stake.

A roulette payout ledger uses the supplied net odds and observed win status to account for a stake.1

Net profit and gross return are different amounts.

When to use Roulette Payout Calculator

Use this tool to apply the stated roulette payout calculator operation with an explicit input and unit basis.

How to use Roulette Payout Calculator and how it works

  1. Establish the text or game convention described above.
  2. Enter actualStakeMinorUnits, callerActualNetOddsNumerator, callerActualNetOddsDenominator, actualWin and run the tool.
  3. Read result.netChangeMinorUnits, result.grossReturnMinorUnits using the output meanings below.
  4. If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.
Input fieldMeaningValue typeRequirement
actualStakeMinorUnitsStake minor units, on the basis specified in the algorithm.numberrequired; finite; nonnegative safe integer minor units; further conditions in the algorithm
callerActualNetOddsNumeratorNet odds numerator, on the basis specified in the algorithm.numberrequired; finite; integer from 0 to 1000000; further conditions in the algorithm
callerActualNetOddsDenominatorNet odds denominator, on the basis specified in the algorithm.numberrequired; finite; integer from 1 to 1000000; further conditions in the algorithm
actualWinWin, on the basis specified in the algorithm.booleanrequired; further conditions in the algorithm

Require a safe nonnegative integer stake and integer odds numerator 0–1,000,000 and denominator 1–1,000,000. Round stake×numerator/denominator to minor units with halves away from zero; a loss returns negative stake and zero gross.

win net = rounded(stake × net odds); win gross = stake + net; loss net = −stake

Apply the declared units, ordering and branch conditions.

Output fieldMeaningValue type
resultObject containing the declared output fields.object
result.netChangeMinorUnitsSigned rounded profit on a win or negative stake on a loss.number
result.grossReturnMinorUnitsStake plus rounded profit on a win, zero on a loss.number
json
{
  "input": {
    "actualStakeMinorUnits": 10,
    "callerActualNetOddsNumerator": 35,
    "callerActualNetOddsDenominator": 1,
    "actualWin": true
  },
  "output": {
    "result": {
      "netChangeMinorUnits": 350,
      "grossReturnMinorUnits": 360
    }
  }
}

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. Quotes, odds and observed outcomes are caller supplied; this operation does not provide market data or a guaranteed financial outcome.

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 successful false boolean, negative signed difference, empty slice or unresolved tie is distinct from an input error. Very large inputs or outputs may be rejected by shared resource limits.

Alternative or Complementary methods

For a related operation, use Scratch Card Odds Calculator. Remaining-ticket odds require verified counts on the same sold-or-unsold basis.

For a related operation, use Expected Casino Loss House Edge Calculator. Expected house-edge loss depends on total wager turnover, which can exceed the starting bankroll through repeated bets.

References

  1. Roulette Payout Calculator — tool.io

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