{
  "schemaVersion": 2,
  "slug": "rush-entry-rate-win-rate-mixture",
  "generatedAt": "2026-08-12T13:39:12.077Z",
  "engine": {
    "random": "src/simulation/random.ts#SeededRandom",
    "sampler": "src/content/simulation-results/rushEntryWinRate.ts#simulateRushEntrySeed",
    "theoretical": "P(win)=P(RUSH)×P(win|RUSH)+P(non-RUSH)×P(win|non-RUSH)",
    "binomial": "X~Binomial(n,p), E[X]=np, SD[X]=√(np(1−p))"
  },
  "definitions": {
    "unit": "通常時の初当り1回を起点にした架空セッション",
    "bernoulliTrial": "各セッションのRUSH突入・非突入、勝ち・負けを0か1で表す独立な試行",
    "binomialDistribution": "一定確率pの独立なベルヌーイ試行をn回繰り返したときの成功回数の分布",
    "rushEntryRate": "初当り後にRUSH側の出玉分布へ進む確率",
    "winRate": "払出が固定投資2,500玉を上回ったセッションの割合",
    "mixture": "非突入分布とRUSH突入後分布を、突入率を重みとして合成した確率分布"
  },
  "conditions": {
    "mainSeedCountPerModel": 30,
    "mainTrialsPerSeed": 100000,
    "mainTrialsPerModel": 3000000,
    "mainTotalTrials": 6000000,
    "sweepTrialsPerSeed": 50000,
    "sweepTotalTrials": 4500000,
    "totalTrials": 16500000,
    "mainRushEntryRate": 0.5,
    "expectationComparisonTrialsPerSeed": 100000,
    "expectationComparisonTotalTrials": 6000000,
    "sessionCostBalls": 2500,
    "seedCount": 30,
    "generatedForDateJst": "2026-08-12"
  },
  "mainModels": [
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      "seedStart": "SEO-RUSH-WIN-STABLE-20260810-001",
      "seedEnd": "SEO-RUSH-WIN-STABLE-20260810-030",
      "model": {
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        "label": "安定型RUSH",
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            "probability": 0.8
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            "probability": 0.2
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        ]
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      "conditions": {
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        "seedCount": 30,
        "trialsPerSeed": 100000,
        "totalTrials": 3000000,
        "sessionCostBalls": 2500,
        "winDefinition": "払出が2,500玉を上回る1初当りセッション"
      },
      "theoretical": {
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            "probability": 0.5,
            "route": "RUSH非突入"
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            "probability": 0.4,
            "route": "RUSH突入"
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            "payoutBalls": 7500,
            "probability": 0.1,
            "route": "RUSH突入"
          }
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        "conditionalRushWinRate": 1,
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        "medianPayoutBalls": 500,
        "standardDeviationBalls": 2211.334439,
        "p05PayoutBalls": 500,
        "p95PayoutBalls": 7500
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        "winCount": 1500064,
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        "conditionalRushWinRate": 1,
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        "perSeedRushEntryRate": {
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          "sampleStandardDeviation": 0.001783,
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        "perSeedWinRate": {
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        "perSeedMeanPayoutBalls": {
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      },
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            }
          ]
        },
        {
          "seed": "SEO-EXPECTED-WIN-LOW-EXPECTED-HIGH-WIN-20260812-029",
          "trialCount": 100000,
          "rushEntryCount": 70099,
          "winCount": 70099,
          "rushEntryRate": 0.70099,
          "winRate": 0.70099,
          "meanPayoutBalls": 2112.277,
          "meanNetBalls": -387.723,
          "sampleStandardDeviationBalls": 1053.00098,
          "payoutCounts": [
            {
              "payoutBalls": 500,
              "count": 29901
            },
            {
              "payoutBalls": 2800,
              "count": 70099
            }
          ]
        },
        {
          "seed": "SEO-EXPECTED-WIN-LOW-EXPECTED-HIGH-WIN-20260812-030",
          "trialCount": 100000,
          "rushEntryCount": 69993,
          "winCount": 69993,
          "rushEntryRate": 0.69993,
          "winRate": 0.69993,
          "meanPayoutBalls": 2109.839,
          "meanNetBalls": -390.161,
          "sampleStandardDeviationBalls": 1054.067932,
          "payoutCounts": [
            {
              "payoutBalls": 500,
              "count": 30007
            },
            {
              "payoutBalls": 2800,
              "count": 69993
            }
          ]
        }
      ]
    }
  ],
  "limitations": [
    "実在機種ではなく、突入率・条件付き出玉・勝率の関係だけを分離した架空モデル",
    "通常時の初当りまでの回転数、回転率、交換率、残保留、転落式、LT移行、技術介入を含めない",
    "固定投資2500玉を上回ることを勝ちとしたため、投資額や勝ちの定義を変えると勝率も変わる",
    "安定型と一撃型はRUSH突入率50%と理論平均払出2400玉をそろえ、RUSH突入後の分布だけを変えている",
    "期待出玉と勝率の逆転比較は、固定投資2500玉に対する平均払出と勝ち割合を分離するための架空2モデル",
    "有限標本の実測値は理論値の周りでSeedごとにぶれる"
  ]
}
