{
  "generatedAt": "2026-10-13T23:03:16.517Z",
  "environment": "Node.js v23.10.0",
  "enumerationCheck": {
    "note": "순열을 전부 세어 본 값과 조합론 식이 같은지 확인(n=4~9). 같아야 이 식을 큰 n 에 쓸 수 있다.",
    "rows": [
      {
        "people": 4,
        "permutations": 24,
        "enumeratedPctNoOverlap": 66.66667,
        "formulaPctNoOverlap": 66.66667,
        "enumeratedMeanOverlap": 0.666667,
        "formulaMeanOverlap": 0.666667
      },
      {
        "people": 5,
        "permutations": 120,
        "enumeratedPctNoOverlap": 0,
        "formulaPctNoOverlap": 0,
        "enumeratedMeanOverlap": 1.6,
        "formulaMeanOverlap": 1.6
      },
      {
        "people": 6,
        "permutations": 720,
        "enumeratedPctNoOverlap": 53.33333,
        "formulaPctNoOverlap": 53.33333,
        "enumeratedMeanOverlap": 0.6,
        "formulaMeanOverlap": 0.6
      },
      {
        "people": 7,
        "permutations": 5040,
        "enumeratedPctNoOverlap": 22.85714,
        "formulaPctNoOverlap": 22.85714,
        "enumeratedMeanOverlap": 1.190476,
        "formulaMeanOverlap": 1.190476
      },
      {
        "people": 8,
        "permutations": 40320,
        "enumeratedPctNoOverlap": 57.14286,
        "formulaPctNoOverlap": 57.14286,
        "enumeratedMeanOverlap": 0.571429,
        "formulaMeanOverlap": 0.571429
      },
      {
        "people": 9,
        "permutations": 362880,
        "enumeratedPctNoOverlap": 32.38095,
        "formulaPctNoOverlap": 32.38095,
        "enumeratedMeanOverlap": 1,
        "formulaMeanOverlap": 1
      }
    ]
  },
  "sameTeamProbability": [
    {
      "people": 20,
      "teams": 4,
      "teamSizes": [
        5,
        5,
        5,
        5
      ],
      "trials": 300000,
      "pairsChecked": 190,
      "theoryPct": 21.053,
      "measuredPctPair01": 21.075,
      "measuredPctAllPairsMean": 21.053,
      "measuredPctAllPairsMin": 20.875,
      "measuredPctAllPairsMax": 21.265,
      "standardErrorPct": 0.0744,
      "maxAbsZOverAllPairs": 2.85
    },
    {
      "people": 20,
      "teams": 5,
      "teamSizes": [
        4,
        4,
        4,
        4,
        4
      ],
      "trials": 300000,
      "pairsChecked": 190,
      "theoryPct": 15.789,
      "measuredPctPair01": 15.772,
      "measuredPctAllPairsMean": 15.789,
      "measuredPctAllPairsMin": 15.621,
      "measuredPctAllPairsMax": 15.963,
      "standardErrorPct": 0.0666,
      "maxAbsZOverAllPairs": 2.6
    },
    {
      "people": 30,
      "teams": 4,
      "teamSizes": [
        8,
        8,
        7,
        7
      ],
      "trials": 300000,
      "pairsChecked": 435,
      "theoryPct": 22.529,
      "measuredPctPair01": 22.468,
      "measuredPctAllPairsMean": 22.529,
      "measuredPctAllPairsMin": 22.285,
      "measuredPctAllPairsMax": 22.723,
      "standardErrorPct": 0.0763,
      "maxAbsZOverAllPairs": 3.2
    },
    {
      "people": 30,
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      "teamSizes": [
        6,
        6,
        6,
        6,
        6
      ],
      "trials": 300000,
      "pairsChecked": 435,
      "theoryPct": 17.241,
      "measuredPctPair01": 17.275,
      "measuredPctAllPairsMean": 17.241,
      "measuredPctAllPairsMin": 17.053,
      "measuredPctAllPairsMax": 17.455,
      "standardErrorPct": 0.069,
      "maxAbsZOverAllPairs": 3.09
    },
    {
      "people": 30,
      "teams": 6,
      "teamSizes": [
        5,
        5,
        5,
        5,
        5,
        5
      ],
      "trials": 300000,
      "pairsChecked": 435,
      "theoryPct": 13.793,
      "measuredPctPair01": 13.649,
      "measuredPctAllPairsMean": 13.793,
      "measuredPctAllPairsMin": 13.607,
      "measuredPctAllPairsMax": 13.979,
      "standardErrorPct": 0.063,
      "maxAbsZOverAllPairs": 2.96
    },
    {
      "people": 23,
      "teams": 4,
      "teamSizes": [
        6,
        6,
        6,
        5
      ],
      "trials": 300000,
      "pairsChecked": 253,
      "theoryPct": 21.739,
      "measuredPctPair01": 21.602,
      "measuredPctAllPairsMean": 21.739,
      "measuredPctAllPairsMin": 21.546,
      "measuredPctAllPairsMax": 21.911,
      "standardErrorPct": 0.0753,
      "maxAbsZOverAllPairs": 2.56
    }
  ],
  "neverTogetherByRounds": [
    {
      "people": 20,
      "teams": 4,
      "trials": 100000,
      "pairs": 190,
      "perSplitPct": 21.053,
      "byRounds": [
        {
          "rounds": 1,
          "measuredUnmetPairs": 150,
          "theoryUnmetPairs": 150,
          "measuredUnmetPct": 78.95,
          "theoryUnmetPct": 78.95,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 2,
          "measuredUnmetPairs": 118.43,
          "theoryUnmetPairs": 118.42,
          "measuredUnmetPct": 62.33,
          "theoryUnmetPct": 62.33,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 3,
          "measuredUnmetPairs": 93.5,
          "theoryUnmetPairs": 93.49,
          "measuredUnmetPct": 49.21,
          "theoryUnmetPct": 49.21,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 4,
          "measuredUnmetPairs": 73.81,
          "theoryUnmetPairs": 73.81,
          "measuredUnmetPct": 38.85,
          "theoryUnmetPct": 38.85,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 5,
          "measuredUnmetPairs": 58.27,
          "theoryUnmetPairs": 58.27,
          "measuredUnmetPct": 30.67,
          "theoryUnmetPct": 30.67,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 6,
          "measuredUnmetPairs": 45.99,
          "theoryUnmetPairs": 46,
          "measuredUnmetPct": 24.2,
          "theoryUnmetPct": 24.21,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 7,
          "measuredUnmetPairs": 36.3,
          "theoryUnmetPairs": 36.32,
          "measuredUnmetPct": 19.11,
          "theoryUnmetPct": 19.11,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 8,
          "measuredUnmetPairs": 28.67,
          "theoryUnmetPairs": 28.67,
          "measuredUnmetPct": 15.09,
          "theoryUnmetPct": 15.09,
          "measuredPctEveryoneMetEveryone": 0
        }
      ],
      "repeatedInSplit1And2": {
        "measuredPairs": 8.43,
        "theoryPairs": 8.42
      }
    },
    {
      "people": 20,
      "teams": 5,
      "trials": 100000,
      "pairs": 190,
      "perSplitPct": 15.789,
      "byRounds": [
        {
          "rounds": 1,
          "measuredUnmetPairs": 160,
          "theoryUnmetPairs": 160,
          "measuredUnmetPct": 84.21,
          "theoryUnmetPct": 84.21,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 2,
          "measuredUnmetPairs": 134.74,
          "theoryUnmetPairs": 134.74,
          "measuredUnmetPct": 70.92,
          "theoryUnmetPct": 70.91,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 3,
          "measuredUnmetPairs": 113.48,
          "theoryUnmetPairs": 113.46,
          "measuredUnmetPct": 59.72,
          "theoryUnmetPct": 59.72,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 4,
          "measuredUnmetPairs": 95.57,
          "theoryUnmetPairs": 95.55,
          "measuredUnmetPct": 50.3,
          "theoryUnmetPct": 50.29,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 5,
          "measuredUnmetPairs": 80.48,
          "theoryUnmetPairs": 80.46,
          "measuredUnmetPct": 42.36,
          "theoryUnmetPct": 42.35,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 6,
          "measuredUnmetPairs": 67.78,
          "theoryUnmetPairs": 67.76,
          "measuredUnmetPct": 35.67,
          "theoryUnmetPct": 35.66,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 7,
          "measuredUnmetPairs": 57.08,
          "theoryUnmetPairs": 57.06,
          "measuredUnmetPct": 30.04,
          "theoryUnmetPct": 30.03,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 8,
          "measuredUnmetPairs": 48.08,
          "theoryUnmetPairs": 48.05,
          "measuredUnmetPct": 25.3,
          "theoryUnmetPct": 25.29,
          "measuredPctEveryoneMetEveryone": 0
        }
      ],
      "repeatedInSplit1And2": {
        "measuredPairs": 4.74,
        "theoryPairs": 4.74
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    },
    {
      "people": 30,
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      "trials": 100000,
      "pairs": 435,
      "perSplitPct": 22.529,
      "byRounds": [
        {
          "rounds": 1,
          "measuredUnmetPairs": 337,
          "theoryUnmetPairs": 337,
          "measuredUnmetPct": 77.47,
          "theoryUnmetPct": 77.47,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 2,
          "measuredUnmetPairs": 261.08,
          "theoryUnmetPairs": 261.08,
          "measuredUnmetPct": 60.02,
          "theoryUnmetPct": 60.02,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 3,
          "measuredUnmetPairs": 202.26,
          "theoryUnmetPairs": 202.26,
          "measuredUnmetPct": 46.5,
          "theoryUnmetPct": 46.5,
          "measuredPctEveryoneMetEveryone": 0
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        {
          "rounds": 4,
          "measuredUnmetPairs": 156.68,
          "theoryUnmetPairs": 156.69,
          "measuredUnmetPct": 36.02,
          "theoryUnmetPct": 36.02,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 5,
          "measuredUnmetPairs": 121.37,
          "theoryUnmetPairs": 121.39,
          "measuredUnmetPct": 27.9,
          "theoryUnmetPct": 27.91,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 6,
          "measuredUnmetPairs": 94.03,
          "theoryUnmetPairs": 94.04,
          "measuredUnmetPct": 21.62,
          "theoryUnmetPct": 21.62,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 7,
          "measuredUnmetPairs": 72.84,
          "theoryUnmetPairs": 72.86,
          "measuredUnmetPct": 16.74,
          "theoryUnmetPct": 16.75,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 8,
          "measuredUnmetPairs": 56.41,
          "theoryUnmetPairs": 56.44,
          "measuredUnmetPct": 12.97,
          "theoryUnmetPct": 12.98,
          "measuredPctEveryoneMetEveryone": 0
        }
      ],
      "repeatedInSplit1And2": {
        "measuredPairs": 22.08,
        "theoryPairs": 22.08
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    },
    {
      "people": 30,
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      "pairs": 435,
      "perSplitPct": 17.241,
      "byRounds": [
        {
          "rounds": 1,
          "measuredUnmetPairs": 360,
          "theoryUnmetPairs": 360,
          "measuredUnmetPct": 82.76,
          "theoryUnmetPct": 82.76,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 2,
          "measuredUnmetPairs": 297.94,
          "theoryUnmetPairs": 297.93,
          "measuredUnmetPct": 68.49,
          "theoryUnmetPct": 68.49,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 3,
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          "theoryUnmetPairs": 246.56,
          "measuredUnmetPct": 56.68,
          "theoryUnmetPct": 56.68,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 4,
          "measuredUnmetPairs": 204.03,
          "theoryUnmetPairs": 204.05,
          "measuredUnmetPct": 46.9,
          "theoryUnmetPct": 46.91,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 5,
          "measuredUnmetPairs": 168.84,
          "theoryUnmetPairs": 168.87,
          "measuredUnmetPct": 38.81,
          "theoryUnmetPct": 38.82,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 6,
          "measuredUnmetPairs": 139.73,
          "theoryUnmetPairs": 139.76,
          "measuredUnmetPct": 32.12,
          "theoryUnmetPct": 32.13,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 7,
          "measuredUnmetPairs": 115.64,
          "theoryUnmetPairs": 115.66,
          "measuredUnmetPct": 26.58,
          "theoryUnmetPct": 26.59,
          "measuredPctEveryoneMetEveryone": 0
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        {
          "rounds": 8,
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          "theoryUnmetPairs": 95.72,
          "measuredUnmetPct": 22,
          "theoryUnmetPct": 22,
          "measuredPctEveryoneMetEveryone": 0
        }
      ],
      "repeatedInSplit1And2": {
        "measuredPairs": 12.94,
        "theoryPairs": 12.93
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    },
    {
      "people": 30,
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      "trials": 100000,
      "pairs": 435,
      "perSplitPct": 13.793,
      "byRounds": [
        {
          "rounds": 1,
          "measuredUnmetPairs": 375,
          "theoryUnmetPairs": 375,
          "measuredUnmetPct": 86.21,
          "theoryUnmetPct": 86.21,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 2,
          "measuredUnmetPairs": 323.27,
          "theoryUnmetPairs": 323.28,
          "measuredUnmetPct": 74.32,
          "theoryUnmetPct": 74.32,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 3,
          "measuredUnmetPairs": 278.7,
          "theoryUnmetPairs": 278.69,
          "measuredUnmetPct": 64.07,
          "theoryUnmetPct": 64.07,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 4,
          "measuredUnmetPairs": 240.24,
          "theoryUnmetPairs": 240.25,
          "measuredUnmetPct": 55.23,
          "theoryUnmetPct": 55.23,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 5,
          "measuredUnmetPairs": 207.1,
          "theoryUnmetPairs": 207.11,
          "measuredUnmetPct": 47.61,
          "theoryUnmetPct": 47.61,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 6,
          "measuredUnmetPairs": 178.54,
          "theoryUnmetPairs": 178.54,
          "measuredUnmetPct": 41.04,
          "theoryUnmetPct": 41.04,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 7,
          "measuredUnmetPairs": 153.92,
          "theoryUnmetPairs": 153.92,
          "measuredUnmetPct": 35.38,
          "theoryUnmetPct": 35.38,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 8,
          "measuredUnmetPairs": 132.7,
          "theoryUnmetPairs": 132.69,
          "measuredUnmetPct": 30.51,
          "theoryUnmetPct": 30.5,
          "measuredPctEveryoneMetEveryone": 0
        }
      ],
      "repeatedInSplit1And2": {
        "measuredPairs": 8.27,
        "theoryPairs": 8.28
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    },
    {
      "people": 23,
      "teams": 4,
      "trials": 100000,
      "pairs": 253,
      "perSplitPct": 21.739,
      "byRounds": [
        {
          "rounds": 1,
          "measuredUnmetPairs": 198,
          "theoryUnmetPairs": 198,
          "measuredUnmetPct": 78.26,
          "theoryUnmetPct": 78.26,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 2,
          "measuredUnmetPairs": 154.96,
          "theoryUnmetPairs": 154.96,
          "measuredUnmetPct": 61.25,
          "theoryUnmetPct": 61.25,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 3,
          "measuredUnmetPairs": 121.27,
          "theoryUnmetPairs": 121.27,
          "measuredUnmetPct": 47.93,
          "theoryUnmetPct": 47.93,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 4,
          "measuredUnmetPairs": 94.9,
          "theoryUnmetPairs": 94.91,
          "measuredUnmetPct": 37.51,
          "theoryUnmetPct": 37.51,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 5,
          "measuredUnmetPairs": 74.28,
          "theoryUnmetPairs": 74.28,
          "measuredUnmetPct": 29.36,
          "theoryUnmetPct": 29.36,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 6,
          "measuredUnmetPairs": 58.12,
          "theoryUnmetPairs": 58.13,
          "measuredUnmetPct": 22.97,
          "theoryUnmetPct": 22.98,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 7,
          "measuredUnmetPairs": 45.49,
          "theoryUnmetPairs": 45.49,
          "measuredUnmetPct": 17.98,
          "theoryUnmetPct": 17.98,
          "measuredPctEveryoneMetEveryone": 0
        },
        {
          "rounds": 8,
          "measuredUnmetPairs": 35.61,
          "theoryUnmetPairs": 35.6,
          "measuredUnmetPct": 14.08,
          "theoryUnmetPct": 14.07,
          "measuredPctEveryoneMetEveryone": 0
        }
      ],
      "repeatedInSplit1And2": {
        "measuredPairs": 11.96,
        "theoryPairs": 11.96
      }
    }
  ],
  "roundsUntilEveryoneMet": [
    {
      "people": 20,
      "teams": 4,
      "trials": 100000,
      "perSplitPct": 21.053,
      "measuredMean": 25.2,
      "measuredMedian": 24,
      "measuredP10": 19,
      "measuredP90": 32,
      "measuredMax": 81,
      "cappedTrials": 0,
      "independentPairsApproxMean": 24.6
    },
    {
      "people": 30,
      "teams": 5,
      "trials": 100000,
      "perSplitPct": 17.241,
      "measuredMean": 35.7,
      "measuredMedian": 35,
      "measuredP10": 28,
      "measuredP90": 45,
      "measuredMax": 95,
      "cappedTrials": 0,
      "independentPairsApproxMean": 35.2
    },
    {
      "people": 30,
      "teams": 6,
      "trials": 100000,
      "perSplitPct": 13.793,
      "measuredMean": 45.4,
      "measuredMedian": 44,
      "measuredP10": 36,
      "measuredP90": 57,
      "measuredMax": 119,
      "cappedTrials": 0,
      "independentPairsApproxMean": 44.8
    },
    {
      "people": 20,
      "teams": 5,
      "trials": 100000,
      "perSplitPct": 15.789,
      "measuredMean": 34.4,
      "measuredMedian": 33,
      "measuredP10": 26,
      "measuredP90": 44,
      "measuredMax": 99,
      "cappedTrials": 0,
      "independentPairsApproxMean": 33.9
    }
  ],
  "pairUpTwice": [
    {
      "people": 10,
      "groups": "짝 5쌍",
      "trials": 1000000,
      "measuredPctAtLeastOneSame": 42.457,
      "theoryPctAtLeastOneSame": 42.434,
      "standardErrorPct": 0.0494,
      "zScore": 0.47,
      "redraw": {
        "trials": 200000,
        "measuredMeanDrawsUntilNoSamePair": 1.739,
        "theoryMeanDrawsUntilNoSamePair": 1.737
      },
      "measuredMeanSamePairs": 0.5561,
      "theoryMeanSamePairs": 0.5556,
      "distribution": [
        {
          "samePairs": "0",
          "measuredPct": 57.543,
          "theoryPct": 57.566
        },
        {
          "samePairs": "1",
          "measuredPct": 31.746,
          "theoryPct": 31.746
        },
        {
          "samePairs": "2",
          "measuredPct": 8.472,
          "theoryPct": 8.466
        },
        {
          "samePairs": "3",
          "measuredPct": 2.136,
          "theoryPct": 2.116
        },
        {
          "samePairs": "4",
          "measuredPct": 0,
          "theoryPct": 0
        },
        {
          "samePairs": "5",
          "measuredPct": 0.103,
          "theoryPct": 0.106
        },
        {
          "samePairs": "6",
          "measuredPct": 0,
          "theoryPct": 0
        },
        {
          "samePairs": "7+",
          "measuredPct": 0,
          "theoryPct": null
        }
      ]
    },
    {
      "people": 20,
      "groups": "짝 10쌍",
      "trials": 1000000,
      "measuredPctAtLeastOneSame": 40.912,
      "theoryPctAtLeastOneSame": 40.876,
      "standardErrorPct": 0.0492,
      "zScore": 0.72,
      "redraw": {
        "trials": 200000,
        "measuredMeanDrawsUntilNoSamePair": 1.689,
        "theoryMeanDrawsUntilNoSamePair": 1.691
      },
      "measuredMeanSamePairs": 0.5264,
      "theoryMeanSamePairs": 0.5263,
      "distribution": [
        {
          "samePairs": "0",
          "measuredPct": 59.089,
          "theoryPct": 59.124
        },
        {
          "samePairs": "1",
          "measuredPct": 31.094,
          "theoryPct": 31.028
        },
        {
          "samePairs": "2",
          "measuredPct": 8.148,
          "theoryPct": 8.184
        },
        {
          "samePairs": "3",
          "measuredPct": 1.453,
          "theoryPct": 1.448
        },
        {
          "samePairs": "4",
          "measuredPct": 0.194,
          "theoryPct": 0.194
        },
        {
          "samePairs": "5",
          "measuredPct": 0.019,
          "theoryPct": 0.021
        },
        {
          "samePairs": "6",
          "measuredPct": 0.002,
          "theoryPct": 0.002
        },
        {
          "samePairs": "7+",
          "measuredPct": 0,
          "theoryPct": null
        }
      ]
    },
    {
      "people": 30,
      "groups": "짝 15쌍",
      "trials": 1000000,
      "measuredPctAtLeastOneSame": 40.401,
      "theoryPctAtLeastOneSame": 40.365,
      "standardErrorPct": 0.0491,
      "zScore": 0.75,
      "redraw": {
        "trials": 200000,
        "measuredMeanDrawsUntilNoSamePair": 1.68,
        "theoryMeanDrawsUntilNoSamePair": 1.677
      },
      "measuredMeanSamePairs": 0.5177,
      "theoryMeanSamePairs": 0.5172,
      "distribution": [
        {
          "samePairs": "0",
          "measuredPct": 59.599,
          "theoryPct": 59.635
        },
        {
          "samePairs": "1",
          "measuredPct": 30.846,
          "theoryPct": 30.808
        },
        {
          "samePairs": "2",
          "measuredPct": 7.965,
          "theoryPct": 7.976
        },
        {
          "samePairs": "3",
          "measuredPct": 1.394,
          "theoryPct": 1.38
        },
        {
          "samePairs": "4",
          "measuredPct": 0.176,
          "theoryPct": 0.18
        },
        {
          "samePairs": "5",
          "measuredPct": 0.019,
          "theoryPct": 0.019
        },
        {
          "samePairs": "6",
          "measuredPct": 0.002,
          "theoryPct": 0.002
        },
        {
          "samePairs": "7+",
          "measuredPct": 0,
          "theoryPct": null
        }
      ]
    },
    {
      "people": 31,
      "groups": "짝 14쌍 + 세 명 한 조",
      "trials": 1000000,
      "measuredPctAtLeastOneSame": 46.605,
      "theoryPctAtLeastOneSame": 46.585,
      "standardErrorPct": 0.0499,
      "zScore": 0.42,
      "redraw": {
        "trials": 200000,
        "measuredMeanDrawsUntilNoSamePair": 1.874,
        "theoryMeanDrawsUntilNoSamePair": 1.872
      },
      "measuredMeanSamePairs": 0.6212,
      "theoryMeanSamePairs": 0.6215,
      "distribution": [
        {
          "samePairs": "0",
          "measuredPct": 53.395,
          "theoryPct": null
        },
        {
          "samePairs": "1",
          "measuredPct": 33.891,
          "theoryPct": null
        },
        {
          "samePairs": "2",
          "measuredPct": 10.303,
          "theoryPct": null
        },
        {
          "samePairs": "3",
          "measuredPct": 2.07,
          "theoryPct": null
        },
        {
          "samePairs": "4",
          "measuredPct": 0.303,
          "theoryPct": null
        },
        {
          "samePairs": "5",
          "measuredPct": 0.035,
          "theoryPct": null
        },
        {
          "samePairs": "6",
          "measuredPct": 0.003,
          "theoryPct": null
        },
        {
          "samePairs": "7+",
          "measuredPct": 0,
          "theoryPct": null
        }
      ]
    }
  ],
  "orderTwice": [
    {
      "people": 5,
      "trials": 1000000,
      "theoryPctSomeoneSameSpot": 63.33,
      "measuredPctSomeoneSameSpot": 63.33,
      "standardErrorPct": 0.0482,
      "theoryMeanPeopleSameSpot": 1,
      "measuredMeanPeopleSameSpot": 0.9997
    },
    {
      "people": 10,
      "trials": 1000000,
      "theoryPctSomeoneSameSpot": 63.21,
      "measuredPctSomeoneSameSpot": 63.22,
      "standardErrorPct": 0.0482,
      "theoryMeanPeopleSameSpot": 1,
      "measuredMeanPeopleSameSpot": 1.0008
    },
    {
      "people": 20,
      "trials": 1000000,
      "theoryPctSomeoneSameSpot": 63.21,
      "measuredPctSomeoneSameSpot": 63.19,
      "standardErrorPct": 0.0482,
      "theoryMeanPeopleSameSpot": 1,
      "measuredMeanPeopleSameSpot": 1.0002
    },
    {
      "people": 30,
      "trials": 1000000,
      "theoryPctSomeoneSameSpot": 63.21,
      "measuredPctSomeoneSameSpot": 63.28,
      "standardErrorPct": 0.0482,
      "theoryMeanPeopleSameSpot": 1,
      "measuredMeanPeopleSameSpot": 1.0002
    }
  ],
  "giveaway": {
    "participants": 100,
    "winners": 5,
    "note": "내가 m 번 응모. listOnce = 한 명단에 m 번 넣고 한 번 추첨(초기하분포), separateDraws = 응모마다 따로 추첨(1−(1−5/100)^m)",
    "listOnce": [
      {
        "entries": 1,
        "listLength": 100,
        "trials": 300000,
        "theoryPctWinAtLeastOnce": 5,
        "measuredPctWinAtLeastOnce": 4.99,
        "standardErrorPct": 0.0398,
        "theoryPctNameDrawnTwiceOrMore": 0,
        "measuredPctNameDrawnTwiceOrMore": 0,
        "theoryMeanEntriesDrawn": 0.05,
        "measuredMeanEntriesDrawn": 0.0499
      },
      {
        "entries": 5,
        "listLength": 104,
        "trials": 300000,
        "theoryPctWinAtLeastOnce": 22.23,
        "measuredPctWinAtLeastOnce": 22.24,
        "standardErrorPct": 0.0759,
        "theoryPctNameDrawnTwiceOrMore": 1.759,
        "measuredPctNameDrawnTwiceOrMore": 1.777,
        "theoryMeanEntriesDrawn": 0.2404,
        "measuredMeanEntriesDrawn": 0.2407
      },
      {
        "entries": 10,
        "listLength": 109,
        "trials": 300000,
        "theoryPctWinAtLeastOnce": 38.78,
        "measuredPctWinAtLeastOnce": 38.79,
        "standardErrorPct": 0.089,
        "theoryPctNameDrawnTwiceOrMore": 6.558,
        "measuredPctNameDrawnTwiceOrMore": 6.584,
        "theoryMeanEntriesDrawn": 0.4587,
        "measuredMeanEntriesDrawn": 0.4592
      },
      {
        "entries": 14,
        "listLength": 113,
        "trials": 300000,
        "theoryPctWinAtLeastOnce": 49.04,
        "measuredPctWinAtLeastOnce": 48.99,
        "standardErrorPct": 0.0913,
        "theoryPctNameDrawnTwiceOrMore": 11.499,
        "measuredPctNameDrawnTwiceOrMore": 11.522,
        "theoryMeanEntriesDrawn": 0.6195,
        "measuredMeanEntriesDrawn": 0.6192
      },
      {
        "entries": 20,
        "listLength": 119,
        "trials": 300000,
        "theoryPctWinAtLeastOnce": 60.84,
        "measuredPctWinAtLeastOnce": 60.88,
        "standardErrorPct": 0.0891,
        "theoryPctNameDrawnTwiceOrMore": 19.616,
        "measuredPctNameDrawnTwiceOrMore": 19.578,
        "theoryMeanEntriesDrawn": 0.8403,
        "measuredMeanEntriesDrawn": 0.8406
      },
      {
        "entries": 50,
        "listLength": 149,
        "trials": 300000,
        "theoryPctWinAtLeastOnce": 87.49,
        "measuredPctWinAtLeastOnce": 87.37,
        "standardErrorPct": 0.0604,
        "theoryPctNameDrawnTwiceOrMore": 54.581,
        "measuredPctNameDrawnTwiceOrMore": 54.406,
        "theoryMeanEntriesDrawn": 1.6779,
        "measuredMeanEntriesDrawn": 1.6729
      }
    ],
    "separateDraws": [
      {
        "entries": 1,
        "trials": 50000,
        "theoryPctWinAtLeastOnce": 5,
        "measuredPctWinAtLeastOnce": 5.06,
        "standardErrorPct": 0.0975
      },
      {
        "entries": 5,
        "trials": 50000,
        "theoryPctWinAtLeastOnce": 22.62,
        "measuredPctWinAtLeastOnce": 22.72,
        "standardErrorPct": 0.1871
      },
      {
        "entries": 10,
        "trials": 50000,
        "theoryPctWinAtLeastOnce": 40.13,
        "measuredPctWinAtLeastOnce": 40.34,
        "standardErrorPct": 0.2192
      },
      {
        "entries": 14,
        "trials": 50000,
        "theoryPctWinAtLeastOnce": 51.23,
        "measuredPctWinAtLeastOnce": 51.4,
        "standardErrorPct": 0.2235
      },
      {
        "entries": 20,
        "trials": 50000,
        "theoryPctWinAtLeastOnce": 64.15,
        "measuredPctWinAtLeastOnce": 64.33,
        "standardErrorPct": 0.2145
      },
      {
        "entries": 50,
        "trials": 20000,
        "theoryPctWinAtLeastOnce": 92.31,
        "measuredPctWinAtLeastOnce": 92.64,
        "standardErrorPct": 0.1884
      }
    ]
  }
}
