{
  "rows": [
    2,
    2
  ],
  "columns": [
    2,
    2
  ],
  "tables": [
    {
      "table": [
        [
          0,
          2
        ],
        [
          2,
          0
        ]
      ],
      "rank": 0,
      "uniform_probability": "1/3",
      "conditional_independence_probability": "1/6"
    },
    {
      "table": [
        [
          1,
          1
        ],
        [
          1,
          1
        ]
      ],
      "rank": 1,
      "uniform_probability": "1/3",
      "conditional_independence_probability": "2/3"
    },
    {
      "table": [
        [
          2,
          0
        ],
        [
          0,
          2
        ]
      ],
      "rank": 2,
      "uniform_probability": "1/3",
      "conditional_independence_probability": "1/6"
    }
  ],
  "total_variation_distance": "1/3",
  "uniform_extreme_table_probability": "2/3",
  "conditional_independence_extreme_probability": "1/3",
  "formula": "product(row_i!)*product(column_j!)/(total!*product(cell_ij!))",
  "primary_reference": "https://github.com/scipy/scipy/blob/v1.18.0/scipy/stats/_multivariate.py",
  "interpretation": "Exact finite arithmetic contrast, not an empirical runtime or uniformity benchmark"
}