{
  "provenance": {
    "schemaVersion": 1,
    "title": "Étude pédagogique des coûts d’EV Cashout",
    "studyType": "constructed-mathematical-scenarios",
    "scenarioCount": 24,
    "sourceUrl": "https://coinpoker.com/help/ev-cashout/",
    "sourceCheckedOn": "2026-10-27",
    "sourceAccess": "Texte officiel relu via un index de recherche le 27 octobre 2026 ; l’accès direct à la page n’est pas certifié.",
    "sourceEvidence": "primary-search-3.json, archive de recherche du 27 octobre 2026 ; détails dans docs/research/POKER-COST-STUDY-EVIDENCE.md.",
    "generatedBy": "scripts/generate-poker-cost-study.mjs",
    "arithmetic": "Calcul rationnel exact avec BigInt ; décimales exportées sans arrondi intermédiaire.",
    "formula": "(pot - rakeAmount) * (equityPercent / 100) * (1 - feePercent / 100)"
  },
  "assumptions": [
    "24 scénarios construits : 2 pots (100 et 1000) × 2 montants de rake (0 et 5 % du pot) × 6 équités (10, 25, 50, 75, 90 et 99 %).",
    "Le taux de commission de 3 % est un paramètre d’exemple, pas une certification du tarif actuel de l’opérateur.",
    "Le rake saisi est un montant monétaire ; 5 % du pot sert à construire des exemples et n’est pas un barème de table certifié.",
    "L’équité est la part moyenne attendue du pot, incluant les égalités ; elle est fournie, pas calculée à partir de cartes.",
    "Un seul pot déjà défini et une même unité monétaire abstraite pour le pot, le rake et les résultats ; aucune conversion de devise."
  ],
  "warnings": [
    "Les montants sont des recettes brutes, pas un profit après les mises investies par le joueur.",
    "L’écart d’équité lié au rake est une décomposition mathématique, pas une attribution du rakeback individuel.",
    "Les plafonds de rake, suppléments, side pots et mises investies ne sont pas modélisés.",
    "La disponibilité de l’offre, l’éligibilité, le versement et les règles d’arrondi du client ne sont pas reproduits ni certifiés.",
    "Aucune activité réelle, aucun compte, dépôt, retrait ou échantillon de joueurs ; aucune simulation de retrait.",
    "Ces calculs sont pédagogiques : aucun conseil en temps réel, aucune incitation à jouer davantage et aucun résultat de jeu garanti."
  ],
  "scenarios": [
    {
      "case": "constructed-01",
      "pot": 100,
      "rakeAmount": 0,
      "equityPercent": 10,
      "feePercent": 3,
      "netPot": 100,
      "preFeeEquity": 10,
      "cashoutFee": 0.3,
      "payout": 9.7,
      "grossEquity": 10,
      "rakeEquityDifference": 0,
      "feeAsPotPercent": 0.3
    },
    {
      "case": "constructed-02",
      "pot": 100,
      "rakeAmount": 0,
      "equityPercent": 25,
      "feePercent": 3,
      "netPot": 100,
      "preFeeEquity": 25,
      "cashoutFee": 0.75,
      "payout": 24.25,
      "grossEquity": 25,
      "rakeEquityDifference": 0,
      "feeAsPotPercent": 0.75
    },
    {
      "case": "constructed-03",
      "pot": 100,
      "rakeAmount": 0,
      "equityPercent": 50,
      "feePercent": 3,
      "netPot": 100,
      "preFeeEquity": 50,
      "cashoutFee": 1.5,
      "payout": 48.5,
      "grossEquity": 50,
      "rakeEquityDifference": 0,
      "feeAsPotPercent": 1.5
    },
    {
      "case": "constructed-04",
      "pot": 100,
      "rakeAmount": 0,
      "equityPercent": 75,
      "feePercent": 3,
      "netPot": 100,
      "preFeeEquity": 75,
      "cashoutFee": 2.25,
      "payout": 72.75,
      "grossEquity": 75,
      "rakeEquityDifference": 0,
      "feeAsPotPercent": 2.25
    },
    {
      "case": "constructed-05",
      "pot": 100,
      "rakeAmount": 0,
      "equityPercent": 90,
      "feePercent": 3,
      "netPot": 100,
      "preFeeEquity": 90,
      "cashoutFee": 2.7,
      "payout": 87.3,
      "grossEquity": 90,
      "rakeEquityDifference": 0,
      "feeAsPotPercent": 2.7
    },
    {
      "case": "constructed-06",
      "pot": 100,
      "rakeAmount": 0,
      "equityPercent": 99,
      "feePercent": 3,
      "netPot": 100,
      "preFeeEquity": 99,
      "cashoutFee": 2.97,
      "payout": 96.03,
      "grossEquity": 99,
      "rakeEquityDifference": 0,
      "feeAsPotPercent": 2.97
    },
    {
      "case": "constructed-07",
      "pot": 100,
      "rakeAmount": 5,
      "equityPercent": 10,
      "feePercent": 3,
      "netPot": 95,
      "preFeeEquity": 9.5,
      "cashoutFee": 0.285,
      "payout": 9.215,
      "grossEquity": 10,
      "rakeEquityDifference": 0.5,
      "feeAsPotPercent": 0.285
    },
    {
      "case": "constructed-08",
      "pot": 100,
      "rakeAmount": 5,
      "equityPercent": 25,
      "feePercent": 3,
      "netPot": 95,
      "preFeeEquity": 23.75,
      "cashoutFee": 0.7125,
      "payout": 23.0375,
      "grossEquity": 25,
      "rakeEquityDifference": 1.25,
      "feeAsPotPercent": 0.7125
    },
    {
      "case": "constructed-09",
      "pot": 100,
      "rakeAmount": 5,
      "equityPercent": 50,
      "feePercent": 3,
      "netPot": 95,
      "preFeeEquity": 47.5,
      "cashoutFee": 1.425,
      "payout": 46.075,
      "grossEquity": 50,
      "rakeEquityDifference": 2.5,
      "feeAsPotPercent": 1.425
    },
    {
      "case": "constructed-10",
      "pot": 100,
      "rakeAmount": 5,
      "equityPercent": 75,
      "feePercent": 3,
      "netPot": 95,
      "preFeeEquity": 71.25,
      "cashoutFee": 2.1375,
      "payout": 69.1125,
      "grossEquity": 75,
      "rakeEquityDifference": 3.75,
      "feeAsPotPercent": 2.1375
    },
    {
      "case": "constructed-11",
      "pot": 100,
      "rakeAmount": 5,
      "equityPercent": 90,
      "feePercent": 3,
      "netPot": 95,
      "preFeeEquity": 85.5,
      "cashoutFee": 2.565,
      "payout": 82.935,
      "grossEquity": 90,
      "rakeEquityDifference": 4.5,
      "feeAsPotPercent": 2.565
    },
    {
      "case": "constructed-12",
      "pot": 100,
      "rakeAmount": 5,
      "equityPercent": 99,
      "feePercent": 3,
      "netPot": 95,
      "preFeeEquity": 94.05,
      "cashoutFee": 2.8215,
      "payout": 91.2285,
      "grossEquity": 99,
      "rakeEquityDifference": 4.95,
      "feeAsPotPercent": 2.8215
    },
    {
      "case": "constructed-13",
      "pot": 1000,
      "rakeAmount": 0,
      "equityPercent": 10,
      "feePercent": 3,
      "netPot": 1000,
      "preFeeEquity": 100,
      "cashoutFee": 3,
      "payout": 97,
      "grossEquity": 100,
      "rakeEquityDifference": 0,
      "feeAsPotPercent": 0.3
    },
    {
      "case": "constructed-14",
      "pot": 1000,
      "rakeAmount": 0,
      "equityPercent": 25,
      "feePercent": 3,
      "netPot": 1000,
      "preFeeEquity": 250,
      "cashoutFee": 7.5,
      "payout": 242.5,
      "grossEquity": 250,
      "rakeEquityDifference": 0,
      "feeAsPotPercent": 0.75
    },
    {
      "case": "constructed-15",
      "pot": 1000,
      "rakeAmount": 0,
      "equityPercent": 50,
      "feePercent": 3,
      "netPot": 1000,
      "preFeeEquity": 500,
      "cashoutFee": 15,
      "payout": 485,
      "grossEquity": 500,
      "rakeEquityDifference": 0,
      "feeAsPotPercent": 1.5
    },
    {
      "case": "constructed-16",
      "pot": 1000,
      "rakeAmount": 0,
      "equityPercent": 75,
      "feePercent": 3,
      "netPot": 1000,
      "preFeeEquity": 750,
      "cashoutFee": 22.5,
      "payout": 727.5,
      "grossEquity": 750,
      "rakeEquityDifference": 0,
      "feeAsPotPercent": 2.25
    },
    {
      "case": "constructed-17",
      "pot": 1000,
      "rakeAmount": 0,
      "equityPercent": 90,
      "feePercent": 3,
      "netPot": 1000,
      "preFeeEquity": 900,
      "cashoutFee": 27,
      "payout": 873,
      "grossEquity": 900,
      "rakeEquityDifference": 0,
      "feeAsPotPercent": 2.7
    },
    {
      "case": "constructed-18",
      "pot": 1000,
      "rakeAmount": 0,
      "equityPercent": 99,
      "feePercent": 3,
      "netPot": 1000,
      "preFeeEquity": 990,
      "cashoutFee": 29.7,
      "payout": 960.3,
      "grossEquity": 990,
      "rakeEquityDifference": 0,
      "feeAsPotPercent": 2.97
    },
    {
      "case": "constructed-19",
      "pot": 1000,
      "rakeAmount": 50,
      "equityPercent": 10,
      "feePercent": 3,
      "netPot": 950,
      "preFeeEquity": 95,
      "cashoutFee": 2.85,
      "payout": 92.15,
      "grossEquity": 100,
      "rakeEquityDifference": 5,
      "feeAsPotPercent": 0.285
    },
    {
      "case": "constructed-20",
      "pot": 1000,
      "rakeAmount": 50,
      "equityPercent": 25,
      "feePercent": 3,
      "netPot": 950,
      "preFeeEquity": 237.5,
      "cashoutFee": 7.125,
      "payout": 230.375,
      "grossEquity": 250,
      "rakeEquityDifference": 12.5,
      "feeAsPotPercent": 0.7125
    },
    {
      "case": "constructed-21",
      "pot": 1000,
      "rakeAmount": 50,
      "equityPercent": 50,
      "feePercent": 3,
      "netPot": 950,
      "preFeeEquity": 475,
      "cashoutFee": 14.25,
      "payout": 460.75,
      "grossEquity": 500,
      "rakeEquityDifference": 25,
      "feeAsPotPercent": 1.425
    },
    {
      "case": "constructed-22",
      "pot": 1000,
      "rakeAmount": 50,
      "equityPercent": 75,
      "feePercent": 3,
      "netPot": 950,
      "preFeeEquity": 712.5,
      "cashoutFee": 21.375,
      "payout": 691.125,
      "grossEquity": 750,
      "rakeEquityDifference": 37.5,
      "feeAsPotPercent": 2.1375
    },
    {
      "case": "constructed-23",
      "pot": 1000,
      "rakeAmount": 50,
      "equityPercent": 90,
      "feePercent": 3,
      "netPot": 950,
      "preFeeEquity": 855,
      "cashoutFee": 25.65,
      "payout": 829.35,
      "grossEquity": 900,
      "rakeEquityDifference": 45,
      "feeAsPotPercent": 2.565
    },
    {
      "case": "constructed-24",
      "pot": 1000,
      "rakeAmount": 50,
      "equityPercent": 99,
      "feePercent": 3,
      "netPot": 950,
      "preFeeEquity": 940.5,
      "cashoutFee": 28.215,
      "payout": 912.285,
      "grossEquity": 990,
      "rakeEquityDifference": 49.5,
      "feeAsPotPercent": 2.8215
    }
  ]
}