{
  "engineVersion": "0.15.0",
  "board": [
    "4s",
    "7s",
    "8d"
  ],
  "seats": 6,
  "pairedSeeds": [
    "2026100411",
    "2026100412",
    "2026100413",
    "2026100414",
    "2026100415"
  ],
  "naturalSeed": "2026100421",
  "pairedTracesVerifiedPerSeed": 20,
  "results": [
    {
      "mode": "paired",
      "hand": "bare_a2",
      "cards": "As 2h 9d Kc",
      "samples": 100000,
      "potShareEquity": 0.3691958333333342,
      "confidenceLow": 0.3679564952962638,
      "confidenceHigh": 0.37043517137040466,
      "highAwardRate": 0.01428,
      "lowAwardRate": 0.81114,
      "sharedHighRate": 0.00214,
      "sharedLowRate": 0.16942,
      "scoopRate": 0.0038,
      "quarterRate": 0.16171,
      "threeQuarterRate": 0.00154
    },
    {
      "mode": "paired",
      "hand": "backup_a23",
      "cards": "As 2h 3d Kc",
      "samples": 100000,
      "potShareEquity": 0.44811249999999964,
      "confidenceLow": 0.44730656355944004,
      "confidenceHigh": 0.44891843644055923,
      "highAwardRate": 0.01635,
      "lowAwardRate": 0.98314,
      "sharedHighRate": 0.00248,
      "sharedLowRate": 0.20139,
      "scoopRate": 0.01032,
      "quarterRate": 0.18994,
      "threeQuarterRate": 0.00403
    },
    {
      "mode": "paired",
      "hand": "backup_flush",
      "cards": "As 2s 3d Kc",
      "samples": 100000,
      "potShareEquity": 0.588198333333333,
      "confidenceLow": 0.5866118443617193,
      "confidenceHigh": 0.5897848223049468,
      "highAwardRate": 0.29635,
      "lowAwardRate": 0.98314,
      "sharedHighRate": 0.00214,
      "sharedLowRate": 0.20139,
      "scoopRate": 0.22961,
      "quarterRate": 0.13477,
      "threeQuarterRate": 0.05913
    },
    {
      "mode": "natural",
      "hand": "bare_a2",
      "cards": "As 2h 9d Kc",
      "samples": 50000,
      "potShareEquity": 0.3429025000000025,
      "confidenceLow": 0.34108760977105385,
      "confidenceHigh": 0.34471739022895115,
      "highAwardRate": 0.01524,
      "lowAwardRate": 0.77848,
      "sharedHighRate": 0.0027,
      "sharedLowRate": 0.20824,
      "scoopRate": 0.00308,
      "quarterRate": 0.19298,
      "threeQuarterRate": 0.00158
    },
    {
      "mode": "natural",
      "hand": "backup_a23",
      "cards": "As 2h 3d Kc",
      "samples": 50000,
      "potShareEquity": 0.4327016666666679,
      "confidenceLow": 0.43148429300732666,
      "confidenceHigh": 0.4339190403260091,
      "highAwardRate": 0.01626,
      "lowAwardRate": 0.9801,
      "sharedHighRate": 0.003,
      "sharedLowRate": 0.25366,
      "scoopRate": 0.00946,
      "quarterRate": 0.23374,
      "threeQuarterRate": 0.00452
    },
    {
      "mode": "natural",
      "hand": "backup_flush",
      "cards": "As 2s 3d Kc",
      "samples": 50000,
      "potShareEquity": 0.5733666666666697,
      "confidenceLow": 0.5710786246714211,
      "confidenceHigh": 0.5756547086619183,
      "highAwardRate": 0.29748,
      "lowAwardRate": 0.98072,
      "sharedHighRate": 0.0026,
      "sharedLowRate": 0.25464,
      "scoopRate": 0.21376,
      "quarterRate": 0.1645,
      "threeQuarterRate": 0.0732
    }
  ],
  "pairedComparisons": [
    {
      "from": "bare_a2",
      "to": "backup_a23",
      "metric": "potShareEquity",
      "difference": 0.07891666666666543,
      "confidenceLow": 0.07733410521870755,
      "confidenceHigh": 0.0804992281146233,
      "blockDifferences": [
        0.0806812499999972,
        0.07787291666666601,
        0.07756458333333449,
        0.07886666666666259,
        0.07959791666666682
      ]
    },
    {
      "from": "bare_a2",
      "to": "backup_a23",
      "metric": "lowAwardRate",
      "difference": 0.172,
      "confidenceLow": 0.16855927983140034,
      "confidenceHigh": 0.17544072016859963,
      "blockDifferences": [
        0.17559999999999998,
        0.1691999999999999,
        0.16925,
        0.1734500000000001,
        0.1725
      ]
    },
    {
      "from": "bare_a2",
      "to": "backup_a23",
      "metric": "scoopRate",
      "difference": 0.00652,
      "confidenceLow": 0.006052105154132019,
      "confidenceHigh": 0.00698789484586798,
      "blockDifferences": [
        0.006149999999999999,
        0.00695,
        0.0069,
        0.00625,
        0.00635
      ]
    },
    {
      "from": "bare_a2",
      "to": "backup_a23",
      "metric": "quarterRate",
      "difference": 0.028229999999999998,
      "confidenceLow": 0.02621702942955759,
      "confidenceHigh": 0.030242970570442406,
      "blockDifferences": [
        0.027700000000000002,
        0.02704999999999999,
        0.029349999999999987,
        0.030450000000000005,
        0.026600000000000013
      ]
    },
    {
      "from": "backup_a23",
      "to": "backup_flush",
      "metric": "potShareEquity",
      "difference": 0.14008583333333344,
      "confidenceLow": 0.13936292015085253,
      "confidenceHigh": 0.14080874651581435,
      "blockDifferences": [
        0.14003749999999787,
        0.1403249999999997,
        0.13912500000000116,
        0.14066666666666888,
        0.14027499999999954
      ]
    },
    {
      "from": "backup_a23",
      "to": "backup_flush",
      "metric": "lowAwardRate",
      "difference": 0.0,
      "confidenceLow": 0.0,
      "confidenceHigh": 0.0,
      "blockDifferences": [
        0.0,
        0.0,
        0.0,
        0.0,
        0.0
      ]
    },
    {
      "from": "backup_a23",
      "to": "backup_flush",
      "metric": "scoopRate",
      "difference": 0.21929,
      "confidenceLow": 0.2175508945356618,
      "confidenceHigh": 0.22102910546433824,
      "blockDifferences": [
        0.22065,
        0.21835000000000002,
        0.21745,
        0.2206,
        0.21939999999999998
      ]
    },
    {
      "from": "backup_a23",
      "to": "backup_flush",
      "metric": "quarterRate",
      "difference": -0.055170000000000004,
      "confidenceLow": -0.056963226776557005,
      "confidenceHigh": -0.053376773223443,
      "blockDifferences": [
        -0.05300000000000002,
        -0.0552,
        -0.05474999999999999,
        -0.056150000000000005,
        -0.056749999999999995
      ]
    }
  ],
  "uncertaintyMethod": "Equity: pooled sample SD normal 95% CI. Differences: paired block means, 5 independent 20000-trial seeds, Student t with 4 df. Rates are descriptive.",
  "limitations": "Uniform legal opponent hands; forced showdown; one common pot; no betting, folds, rake, opponent ranges, all-ins or side pots. Paired runs reserve two exchanged cards as dead. Natural runs use no dead cards. Monte Carlo intervals do not measure opponent-model uncertainty."
}