44 vs 33 Odds: Pocket Fours vs Pocket Threes
Last updated: May 27, 2026
Pocket Fours (44) wins 81.5% of the time against Pocket Threes (33) preflop. 33 wins 16.8% with ties at 1.7%. This is a low pair domination matchup — 44 holds two cards that rank above 33's pair, leaving 33 with only two set outs as a realistic winning path. Both 44 and 33 are quintessential set-mining hands with minimal board connectivity beyond making three-of-a-kind. The unique dynamic of this matchup is what happens when both players flop their set simultaneously on 4-3-x boards — creating a set-over-set cooler where 44's top set dominates 33's bottom set.
The Exact Number: 81.5% vs 16.8%
44's 64.7-point advantage over 33 is typical for adjacent low pair domination matchups. The 1.7% tie rate is slightly lower than medium pair matchups because fours and threes appear in fewer shared straight combinations than tens and nines — though the 3-4-5 board does create meaningful dual-set-plus-straight-draw equity for both players.
44 Wins
81.5%
33 Wins
16.8%
Tie
1.7%
33's 16.8% equity is concentrated in set-out probability (11.8% flop rate × ~88.5% win rate when set lands = ~10.4% equity contribution) plus secondary equity from connected board textures like 3-4-5 and A-2-3. The remaining equity comes from runner-runner scenarios, board-play ties, and wheel draw boards where 33 gains partial straight draw equity.
Does the Suit Matter?
Suit combinations affect 44 vs 33 by approximately 0.4 percentage points. Since 33's primary equity driver (set outs) is completely suit-independent, the small suit variation comes only from flush draw possibilities when 33 shares a suit with a four. The baseline equity holds constant across configurations without suit overlap.
Preflop equity by suit combination
Post-Flop: Critical Board Textures for 44 vs 33
Post-flop in 44 vs 33, the board texture determines everything. A three on the flop is catastrophic for 44; a four on the flop is game-over for 33; and the 4-3-x set-over-set scenario and 3-4-5 coordinated board are the two most dramatic post-flop situations. The A-2-3 board is uniquely relevant because it gives 33 partial wheel draw equity unavailable in higher pair domination matchups.
Equity given specific flops and runouts
Two Set-Mining Hands: The Low Pair Domination Dynamic
44 vs 33 is unique in that both hands are primarily set-mining vehicles — their value is almost entirely dependent on flopping three-of-a-kind. Unlike medium pair matchups (TT vs 99) where both hands have meaningful board connectivity through straight draws and overpairs, 44 and 33 rarely make strong top-pair hands and rely almost exclusively on sets for their post-flop value.
This creates a fascinating dynamic: when two set-mining hands play against each other, the dominant pair (44) still benefits from all the structural advantages of a higher pair, but both players are primarily thinking in terms of "did I flop my set?" On 4-3-x flops, both players flopped their set simultaneously — and 44's top set crushes 33's bottom set at 85.8%. The result is a cooler of extraordinary completeness: both players played perfectly, both were rewarded with their primary objective (a set), yet 44 still wins the majority of the time.
33 equity sources vs 44
- Flop a set of threes (11.8%) × win from there excl. set-over-set~9.8%
- Connected board straight draws (3-4-5, A-2-3, A-2-4)~2.8%
- Runner-runner quads or boats~0.8%
- Board-play ties and miscellaneous runouts~2.4%
- Total 33 equity16.8%
Low Pair Matchup Reference Table
Adjacent and nearby low pair domination matchups share remarkably similar equity distributions. The structural set-out mechanism (2 remaining cards to improve) applies equally across all low pair matchups. Use this table to compare 44 vs 33 against related matchups.
Key pattern: all adjacent low pair matchups cluster tightly at 81.5–81.7% for the favourite. The slight increase for wider-gapped matchups (e.g., AA vs 33 at 82.2%) reflects fewer shared board textures between pairs separated by many ranks. 44 vs 33 and 33 vs 22 are essentially identical at 81.5% due to their structural equivalence.
Definitions
Frequently Asked Questions
What are the exact 44 vs 33 preflop odds?
Pocket Fours (44) win 81.5% of the time against Pocket Threes (33) preflop. 33 wins 16.8% and ties account for 1.7%. This is a domination matchup — 44 holds two cards that rank above 33's pair, leaving 33 with only two outs (the remaining threes) as its primary winning path. 33 flops a set approximately 11.8% of the time; when it does, 33 becomes roughly an 88.5% favourite. The 1.7% tie rate is slightly lower than medium pair matchups because fours and threes appear in fewer shared straight combinations than tens and nines.
What happens on a 4-3-x flop — is this a cooler?
Yes — the 4-3-x flop is the definitive 44 vs 33 cooler. Both players have flopped three-of-a-kind simultaneously: 44 has top set (three fours) and 33 has bottom set (three threes). 44 wins 85.8% from this point — the only way 33 wins is by making four threes (quads) or by the board running out a full house of threes-over-fours that beats 44's full house of fours-over-threes. Both players will typically get all chips in on this flop; it is unavoidable and the outcome is determined by card distribution, not strategy.
Does the 3-4-5 board create unique equity for 33?
Yes — the 3-4-5 flop is one of the most interesting board textures in this matchup. Both 44 and 33 flop a set on a board that also contains a completed straight framework. 44 has top set, 33 has bottom set, but both sets have straight draw equity: a two completes A-2-3-4-5 (wheel) for both hands, and a six completes 3-4-5-6-7 threatening 33's straight. The board is so coordinated that 33's equity rises to approximately 27.9%, nearly double its baseline 16.8%. On the 3-4-5 flop, 33 can legitimately set-mine-and-play for full stacks with significantly improved equity.
What is the A-2-3 board dynamic for 33?
On an A-2-3 flop, 33 benefits from flopping a set on a board that offers partial wheel draw potential. If 33 hits a set of threes, the board A-2-3 already has three cards of the A-2-3-4-5 wheel straight — meaning a four or a five on the turn or river would complete the wheel straight for 33. 44 on an A-2-3 board has no four on the board, so it has only an overpair — vulnerable to 33's set. This board pushes 33's equity to approximately 22.6%, meaningfully higher than its baseline 16.8%. This is 33's partial wheel draw advantage that doesn't exist on higher pair domination matchups.
How do implied odds affect the 44 vs 33 matchup?
Implied odds are the primary justification for 33 calling a raise preflop against 44. 33's direct equity is only 16.8% — calling a raise purely on equity is often mathematically wrong. But 33's implied odds come from its set-mining potential: when 33 flops a set (11.8% of the time), it can potentially win 44's entire stack because 44's set-over-set reaction on 4-3-x boards will stack off. Standard set-mining math requires approximately 7:1 implied odds to be profitable. Against 44 — which will pay off heavily on any 3-high board where 44 incorrectly assumes it has an overpair — 33's implied odds are strong.
How does 44 vs 33 compare to other adjacent low pair matchups?
44 vs 33 (81.5%) is essentially identical to 33 vs 22 (81.5%) and 55 vs 44 (81.5%) — the equity is near-perfectly consistent across all adjacent low pair matchups. This consistency reflects that the set-out mechanism (2 remaining cards to improve) is structurally identical regardless of which low pairs are involved. The minor equity variations in the wider spectrum come from straight draw interactions on specific board textures. 44 vs 22 (81.7%) is slightly higher because the two-rank gap reduces the number of boards where both players share straight draw equity.
What should 44 do when a three appears on the flop?
On a 3-x-x board, 44 must proceed with extreme caution. 44 is still an overpair on a three-high board, but if 33 has flopped a set, 44 is approximately an 11.5% underdog. The strategic approach: bet for value (you have an overpair), but be ready to fold to a large check-raise. Against recreational players who are unlikely to check-raise without a set on low boards, continuing can be correct. Against tighter opponents, the check-raise on 3-x-x flops is almost always a set. The pot odds of folding an overpair to a large check-raise on a 3-high board are often compelling.
Related Guides
Run 44 vs 33 on any flop — see live equity
RiverOdds shows how set-over-set boards and connected low textures shift equity in real time.
Open RiverOdds Calculator →