The fairness debate

Updated numbers. I added in the number of boards with 3 cards to a flush showing by the river. I also corrected my count of boards with a 4-flush - my total before incorrectly included turns with a 4-flush that didn’t reach the river.

Times seen % happened Times expected % expected
Flop with 2-flush 1115 53.89% 1139 55.06%
Monotone flop 113 5.46% 107 5.18%
River board with 3-flush 472 32.66% 496 34.33%
River board with 4-flush 63 4.36% 62 4.29%
River board with 5-flush 2 0.14% 3 0.21%
Paired flop 336 16.24% 351 16.94%
Flop all same value 2 0.10% 5 0.24%

Overall it doesn’t seem like there is anything here that is out of line from what you’d expect from random chance.

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