Each row is a different experiment. A pocket pair's river chance starts from two known hole cards. Set over set starts from two players who already hold different pairs. A royal flush in seven cards is any seven-card holding, whether or not you were dealt a pair.
| Event | Chance | Plain English |
|---|---|---|
| Two different pocket pairs both flop a set or better | 1.041% | 1 in 96 |
| A pocket pair makes quads by the river | 0.816% | 1 in 122 |
| A pocket pair makes a set or better by the river | 19.18% | 1 in 5.2 |
| Two random hands: one makes quads, the other a full house | 0.070% | 1 in 1,429 |
| Royal flush as the best five of seven cards | 0.0032% | 1 in 30,940 |
| Royal flush in five dealt cards | 0.00015% | 1 in 649,740 |
Set over set, counted as both players flopping a set or better, is 180 of the 17,296 flops left after two different pairs are known. Quads by the river is both remaining cards of the pair landing somewhere in the five board cards: 17,296 of the 2,118,760 boards, which is 0.816%. The royal-flush counts are the same enumerations as the showdown table. Over a long enough run, events this rare still arrive. They do not arrive because the deck noticed you.
These counts are for study and post-session review. Where a row comes from a simulation, the caption names how many deals were run. Where a stack or a pot is made up, the caption says so. None of these figures is an instruction for a live pot.