{
  "schemaVersion": 3,
  "slug": "pachinko-expected-value-per-spin",
  "generatedAt": "2026-08-19T02:31:31.158Z",
  "generatedForDateJst": "2026-08-19",
  "engine": {
    "random": "src/simulation/random.ts#SeededRandom",
    "sampler": "src/content/simulation-results/expectedValuePerSpin.ts#simulateExpectedValueSeed",
    "theoretical": "EV_per_spin = 1000 / border_spins - 1000 / actual_spins; E[sum_N] = N * EV_per_spin; SD[sum_N] = return_per_hit * sqrt(N * p * (1-p)); measured spins per budget follow Poisson(lambda = true_rate * budget / 1000)"
  },
  "definitions": {
    "unit": "等価交換の架空モデルにおける通常時1回転",
    "returnYenPerSpin": "ボーダー18回/千円で損益が釣り合うよう、平均払出価値を1000/18円/回転へ固定",
    "costYenPerSpin": "実回転率R回/千円から1000/R円/回転として計算",
    "expectedYenPerSpin": "平均払出価値から平均投資価値を引いた1回転期待値。勝率ではない"
  },
  "conditions": {
    "equivalentExchange": true,
    "borderSpinsPerThousandYen": 18,
    "actualSpinsPerThousandYen": [
      15,
      16,
      17,
      18,
      19,
      20,
      21
    ],
    "jackpotDenominator": 319.7,
    "returnValuePerHitYen": 17761.111111,
    "seedCountPerRate": 30,
    "spinsPerSeed": 100000,
    "spinsPerRate": 3000000,
    "totalSpins": 21000000,
    "horizons": [
      1,
      100,
      500,
      1000,
      2000
    ],
    "dailySpins": 2000,
    "borderDifferences": [
      -3,
      -2,
      -1,
      0,
      1,
      2,
      3
    ],
    "measurement": {
      "trueRatePerThousandYen": 19,
      "budgetsYen": [
        1000,
        5000,
        10000,
        20000
      ],
      "seedCountPerBudget": 30,
      "trialsPerSeed": 1000,
      "totalTrials": 120000
    },
    "timeAnalysis": {
      "effectiveNormalSpinsPerHour": 200,
      "hours": [
        1,
        2,
        4,
        8,
        12
      ],
      "actualSpinsPerThousandYen": [
        19,
        20
      ],
      "seedCountPerCondition": 30,
      "sessionsPerSeed": 5000,
      "sessionsPerCondition": 150000,
      "totalSessions": 1500000,
      "modeledSpinsAcrossSessions": 1620000000
    }
  },
  "rateRows": [
    {
      "actualSpinsPerThousandYen": 15,
      "seedStart": "SEO-EV-15-001-20260814",
      "seedEnd": "SEO-EV-15-030-20260814",
      "theoretical": {
        "returnYenPerSpin": 55.555556,
        "costYenPerSpin": 66.666667,
        "expectedYenPerSpin": -11.111111,
        "expectedNetByHorizon": [
          {
            "spins": 1,
            "expectedNetYen": -11.111111
          },
          {
            "spins": 100,
            "expectedNetYen": -1111.1111
          },
          {
            "spins": 500,
            "expectedNetYen": -5555.5555
          },
          {
            "spins": 1000,
            "expectedNetYen": -11111.111
          },
          {
            "spins": 2000,
            "expectedNetYen": -22222.222
          }
        ],
        "singleSpinStandardDeviationYen": 991.787263,
        "standardErrorOfMeasuredMeanYen": 0.572609
      },
      "measured": {
        "totalSpins": 3000000,
        "totalHits": 9293,
        "observedHitRate": 0.003097667,
        "totalNetYen": -34945994.444445,
        "netYenPerSpin": -11.648665,
        "perSeedNetYen": {
          "mean": -1164866.481481,
          "median": -1107438.888889,
          "sampleStandardDeviation": 290263.296555,
          "p05": -1693555.555556,
          "p95": -725575,
          "min": -1746838.888889,
          "max": -556844.444444
        },
        "perSeedNetYenPerSpin": {
          "mean": -11.648665,
          "median": -11.074389,
          "sampleStandardDeviation": 2.902633,
          "p05": -16.935556,
          "p95": -7.25575,
          "min": -17.468389,
          "max": -5.568444
        }
      },
      "seeds": [
        {
          "seed": "SEO-EV-15-001-20260814",
          "spinCount": 100000,
          "hitCount": 322,
          "observedHitRate": 0.00322,
          "netYen": -947588.888889,
          "netYenPerSpin": -9.475889
        },
        {
          "seed": "SEO-EV-15-002-20260814",
          "spinCount": 100000,
          "hitCount": 318,
          "observedHitRate": 0.00318,
          "netYen": -1018633.333333,
          "netYenPerSpin": -10.186333
        },
        {
          "seed": "SEO-EV-15-003-20260814",
          "spinCount": 100000,
          "hitCount": 299,
          "observedHitRate": 0.00299,
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          "netYenPerSpin": -13.560944
        },
        {
          "seed": "SEO-EV-15-004-20260814",
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          "observedHitRate": 0.00317,
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          "netYenPerSpin": -10.363944
        },
        {
          "seed": "SEO-EV-15-005-20260814",
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          "observedHitRate": 0.0031,
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          "netYenPerSpin": -11.607222
        },
        {
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          "observedHitRate": 0.00303,
          "netYen": -1285050,
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        },
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        },
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        },
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        },
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        },
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        },
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        },
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        },
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        },
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        },
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          "seed": "SEO-EV-15-019-20260814",
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          "observedHitRate": 0.00325,
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        },
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      ]
    },
    {
      "actualSpinsPerThousandYen": 16,
      "seedStart": "SEO-EV-16-001-20260814",
      "seedEnd": "SEO-EV-16-030-20260814",
      "theoretical": {
        "returnYenPerSpin": 55.555556,
        "costYenPerSpin": 62.5,
        "expectedYenPerSpin": -6.944444,
        "expectedNetByHorizon": [
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          },
          {
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          {
            "spins": 1000,
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          {
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          }
        ],
        "singleSpinStandardDeviationYen": 991.787263,
        "standardErrorOfMeasuredMeanYen": 0.572609
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      "measured": {
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        "totalHits": 9409,
        "observedHitRate": 0.003136333,
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      ]
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      "seedEnd": "SEO-EV-17-030-20260814",
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          {
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          {
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          {
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          {
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        ],
        "singleSpinStandardDeviationYen": 991.787263,
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      "measured": {
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        "totalHits": 9445,
        "observedHitRate": 0.003148333,
        "totalNetYen": -8716893.79085,
        "netYenPerSpin": -2.905631,
        "perSeedNetYen": {
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  "limitations": [
    "実在機種ではなく、ボーダー、回転率、1回転期待値の関係だけを分離した等価交換の架空モデル",
    "大当り1回の平均価値を固定し、出玉振り分け、RUSH、残保留、電サポ増減、オーバー入賞、ラウンド間ロスを含めない",
    "非等価交換、現金投資率、貯玉再プレー、手数料を含めない",
    "期待値は長期平均であり、短期の勝敗や利益を保証しない",
    "30 Seed実測は理論式の線形性と有限標本の散らばりを検算するためのもの",
    "回転率の計測誤差は、一定の真の回転率から開始回数がポアソン分布で生じる単純モデル。保留、止め打ち、上皿、賞球、打ち出し速度の変化は含めない",
    "時間分析の200通常時回転/時は比較のための固定換算。実戦の有効通常時回転数は大当り、RUSH、電サポ、休憩、台移動、混雑で変わる",
    "時間分析は独立同分布の大当りと固定平均払出を仮定し、持ち玉比率、交換率、確変・時短・LT、遊タイム、投資上限を含めない",
    "P05、中央値、P95、プラス確率は架空モデルの分布指標で、実機の勝率や利益を保証するものではない"
  ]
}
