What Are the Odds of Quads Over Quads?
Quads over quads is one of poker's rarest coolers. If two players both hold pocket pairs, the chance both make four of a kind by the river is about 1 in 38,916 — and needing both players to have pockets in the first place makes it astronomically rarer at the table.
The odds
| Measured as | Probability | Odds | Per 100 hands |
|---|---|---|---|
| Both players hold a pocket pair, by the riverheadline | 0.0026% | 1 in 38,916 | — |
What we measured
Quads over quads means two players each make four of a kind of different ranks in the same hand. The only realistic way this happens is both players hold a pocket pair and the five-card board delivers the remaining two cards of each rank. (Community quads on the board are shared by everyone, so they are a chop, not quads over quads.) The headline figure is conditional on both players holding pocket pairs.
How it was calculated
Exact combinatorics: with two distinct pocket pairs out, 44 of the C(48,5) = 1,712,304 possible boards complete both sets of quads.
Computed 2026-07-12 using app/lib/poker-eval.js — the same 7-card evaluator behind /tools/odds-calculator. Want to test a specific matchup? Run it through the odds & equity calculator.
Quads over quads is one of poker's rarest coolers. If two players both hold pocket pairs, the chance both make four of a kind by the river is about 1 in 38,916 — and needing both players to have pockets in the first place makes it astronomically rarer at the table.
https://pokerpro.tools/odds/quads-over-quadsDrop it in your poker chat, home-game thread, or the next bad-beat argument.
Frequently asked questions
How rare is quads over quads?+
Given two players both hold pocket pairs, both making quads by the river is about 1 in 38,916. Because both players also have to be dealt pocket pairs first, seeing it at a real table is a once-in-a-poker-lifetime event.
Can two players have four of a kind without both holding pairs?+
Not of different ranks. If the board itself shows four of a kind, everyone shares the same quads and it plays as a chop. Two genuinely different quads require each player to hold a pocket pair that the board then completes.