AA vs 22 Odds: Pocket Aces vs Pocket Deuces
Last updated: May 27, 2026
Pocket Aces (AA) wins 82.5% of the time against Pocket Deuces (22) preflop. 22 wins 15.7% with ties at 1.8%. This is AA's absolute peak equity against any pocket pair — deuces are the most board-isolated rank in poker, participating in virtually no connected board textures outside the A-2-3-4-5 wheel. The A-2-x flop scenario, where both players flop a set (top set for AA, bottom set for 22), is one of poker's most iconic and instructive coolers — a hand where both players act correctly and the outcome is purely statistical.
The Exact Number: 82.5% vs 15.7%
AA's 66.8-point advantage over 22 is the highest of any pocket pair matchup in poker. 22's 15.7% equity is the lowest any pocket pair can hold against AA, driven by extreme board isolation and minimal secondary equity sources. The 1.8% tie rate is consistent across all small pair matchups.
AA Wins
82.5%
22 Wins
15.7%
Tie
1.8%
22's 15.7% equity breaks down as: set-out probability (11.8% × ~88.9% = ~10.5%) plus runner-runner scenarios (~2.1%) plus miscellaneous board-play ties and low-board secondary equity (~3.1%). The near-absence of straight draw equity is the defining feature of 22's equity profile — deuces participate in almost no meaningful straight sequences outside the wheel.
Does the Suit Matter?
Suit combinations affect AA vs 22 by approximately 0.4 percentage points. Since 22's primary equity driver (set outs) is entirely suit-independent, the small variation comes only from flush draw possibilities when 22 shares a suit with an ace. The 1.8% tie rate is constant across all suit configurations.
Preflop equity by suit combination
Post-Flop: The A-2-x Cooler and Bottom Set Dynamics
The A-2-x flop is the defining scenario of this matchup. When it occurs, both players have flopped a set — and neither can fold. AA wins approximately 85% of the A-2-x set-over-set confrontation. The table below shows equity across all key post-flop scenarios.
Equity given specific flops and runouts
The A-2-x Cooler: Poker's Lowest vs Highest Set
The A-2-x flop with AA vs 22 represents the maximum distance between two simultaneously flopped sets in poker. AA holds the highest possible set (three aces); 22 holds the lowest possible set (three deuces). The equity gap between top set and bottom set on this board is approximately 85% to 15% — one of the most lopsided set-over-set scenarios possible.
A-2-x cooler: how the chips go in
- Flop: A♠-2♥-7♦Both players have flopped sets
- 22 actionBets or check-raises — bottom set is strong, must play fast
- AA actionRe-raises all-in — top set is AA's near-nut hand
- 22 correct decisionCall — folding a flopped set is essentially never correct
- AA wins from here~85% (top set dominates bottom set)
- 22 wins from here~15% (only quads or running full house)
- Cooler verdictNeither player made an error — this is pure variance
The frequency of A-2-x set-over-set between AA and 22 is very low — approximately 0.07% of hands where both players hold their respective pairs. This extreme rarity is precisely why the hand is so memorable when it occurs: a full-stack cooler where both players acted perfectly, and the outcome was determined entirely by the A-2-x flop.
AA Pair-vs-Pair Reference Table
AA's equity against every pocket pair, from KK down to 22. The pattern is clear: medium pairs (66–99) erode AA's equity slightly through board connectivity; small pairs (22–55) restore and exceed AA's equity through board isolation.
The AA vs 22 (82.5%) at the bottom of the table represents AA's absolute ceiling against any pocket pair. The 2.6-point range from AA's lowest equity (AA vs 66: 79.8%) to its highest (AA vs 22: 82.5%) reflects how much board connectivity influences secondary equity — a difference that seems small but adds up significantly over large sample sizes.
Definitions
Frequently Asked Questions
What are the exact AA vs 22 preflop odds?
Pocket Aces (AA) win 82.5% of the time against Pocket Deuces (22) preflop. 22 wins 15.7% and ties account for 1.8%. This is AA's maximum equity against any pocket pair — 22's extreme board isolation (deuces appear in fewer straight and flush combinations than any other rank) leaves 22 with the smallest secondary equity of all pairs. 22's primary and almost sole winning path is flopping a set of deuces (11.8% probability), which then wins approximately 88.9% of the time from that point.
Why is AA vs 22 AA's highest equity against any pocket pair?
22 is the most board-isolated pocket pair in poker. Deuces appear in very few connected board textures — the main straight containing a deuce is the A-2-3-4-5 wheel. Compare this to 77, which appears in 5-6-7-8-9, 4-5-6-7-8, 6-7-8-9-T, 3-4-5-6-7, and 7-8-9-T-J straights. The fewer straight combinations a pair's rank participates in, the less secondary equity it generates from connected board textures. 22 has minimal secondary equity — nearly all its winning scenarios involve flopping a set. This makes AA vs 22 (82.5%) AA's cleanest and highest-equity domination matchup.
Why is the A-2-x flop poker's most iconic set-over-set cooler?
The A-2-x flop is unique because it creates a set-over-set situation involving the two extremes of card rank: AA holds three aces (top set, the highest possible set) and 22 holds three deuces (the lowest possible set). Both players look at their hand and see an absolute monster — a flopped set. Both players will correctly put all chips in. AA wins approximately 85% of these confrontations because top set always beats lower set, and the only way 22 wins is by making four deuces (quads). The hand is called a 'cooler' because neither player makes a mistake: the stacks go in, and the better hand (AA) is rewarded. The brutal beauty of A-2-x is that AA's set is so strong that 22 cannot be blamed for committing — yet 22 is a significant underdog.
How frequent is the set-over-set scenario on A-2-x boards?
Set-over-set on A-2-x is extremely rare. The probability requires: (1) 22 flopping a deuce (~11.8% probability), (2) an ace also appearing on the same flop (~15.7% chance given one deuce appeared and 3 aces remain in the deck), and (3) AA already having both aces in hand. Combining these probabilities, set-over-set on A-2-x between AA and 22 occurs in approximately 0.07–0.09% of hands where both players are dealt their respective pairs. It is devastatingly rare — but when it happens, it is the defining hand of the session, often involving full-stack commitment and a brutal loss for the 22 holder despite correct play.
What should the 22 holder do on an A-2-x flop against AA?
On A-2-x, 22 has flopped bottom set and should play it fast. 22's set is very strong — bottom set on A-2-x is a clear value hand and 22 should bet and raise aggressively. The problem is that AA has flopped top set, which is roughly an 85% favourite over 22's set. 22 cannot know this without a read, so the correct play is still to go all-in: folding a flopped set is essentially never correct in poker. The A-2-x set-over-set is precisely a cooler: 22 acts correctly and still loses 85% of the time. The stack-off is mandatory; the loss is statistical.
How do implied odds work for 22 set-mining against AA?
22 set-mines by calling preflop (at a reasonable stack-to-pot ratio) and hoping to flop a set (11.8% probability). Against AA, 22's implied odds are at their theoretical maximum: AA holds the strongest possible overpair, will never fear an overcard, and will stack off on any non-scary board. The only risk to 22's implied odds is if AA flops top set simultaneously (A-2-x boards) — in which case 22 is an 85% underdog despite having a set. Even factoring in this cooler risk, 22's implied odds vs AA are excellent. Standard set-mining requires 7:1 implied odds; AA reliably provides this by committing its full stack on the vast majority of boards where 22 flops a set.
How does AA vs 22 compare to AA vs 33 and AA vs 44?
AA vs 22 (82.5%) is marginally higher than AA vs 33 (82.4%) and AA vs 44 (82.3%). The differences are tiny (0.1–0.2 percentage points) and reflect each small pair's incrementally different board connectivity. 44 participates in A-2-3-4-5 and 2-3-4-5-6 straights. 33 participates in A-2-3-4-5 and 2-3-4-5-6. 22 primarily only participates in the A-2-3-4-5 wheel. Fewer straight combinations = slightly less secondary equity for the underdog = slightly higher equity for AA. The progression is perfectly consistent: AA vs 44 (82.3%), AA vs 33 (82.4%), AA vs 22 (82.5%) — each deuce below 44 adds approximately 0.1% to AA's equity.
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