AQ vs a cutoff opening range: Equity & Strategy

Ace-Queen (AQ) has 58.7% equity all-in preflop against a cutoff opening range — 366 combos, 27.6% of all starting hands. It wins 56.5% of runouts outright, loses 39.0% and chops 4.5%. These are exact figures from full board enumeration against every unblocked combo in the range, not a simulation.

SideWinChopEquity
AQ56.5%4.5%58.7%
a cutoff opening range39.0%4.5%41.3%

The range this is computed against

The cutoff opens roughly a quarter of hands: all pairs and suited aces, suited kings down to K5s, every suited connector and one-gapper, and offsuit broadways down to A8o / KTo / QJo / JTo. Two players behind instead of five is worth more than ten percentage points of width.

CO open — 366 combos, 27.6% of all starting hands: AA, KK, QQ, JJ, TT, 99, 88, 77, 66, 55, 44, 33, 22, AKs, AQs, AJs, ATs, A9s, A8s, A7s, A6s, A5s, A4s, A3s, A2s, KQs, KJs, KTs, K9s, K8s, K7s, K6s, K5s, QJs, QTs, Q9s, Q8s, JTs, J9s, J8s, T9s, T8s, T7s, 98s, 97s, 87s, 86s, 76s, 75s, 65s, 64s, 54s, AKo, AQo, AJo, ATo, A9o, A8o, KQo, KJo, KTo, QJo, JTo

After card removal, 316 of those 366 combos are still available (50 are blocked by the cards AQ holds). AQ is ahead of 230 and behind 86.

Hardest parts of the range for AQ

HandCombosAQ equity
AA38.6%
AKs325.6%
AKo926.7%
KK629.1%
QQ331.3%

Easiest parts of the range for AQ

HandCombosAQ equity
KQo974.8%
AJo974.2%
A9o974.0%
ATo973.8%
A8o973.7%

Put AQ up against a cutoff opening range — 366 combos, 27.6% of all hands — and the exact answer is 58.7% equity: 56.5% outright wins, 39.0% losses and 4.5% chops. Your own two cards remove 50 of those combos before the flop is even dealt — a blocker effect this number already accounts for, because every combo containing one of your exact cards is stripped out of the range first. You are ahead of 230 of the 316 combos you can still be facing (73%), which is what a 58.7% number actually looks like hand by hand.

Where does the range come from? The cutoff opens roughly a quarter of hands: all pairs and suited aces, suited kings down to K5s, every suited connector and one-gapper, and offsuit broadways down to A8o / KTo / QJo / JTo. Two players behind instead of five is worth more than ten percentage points of width. Broken down hand by hand, AQ does worst against AA (8.6%), AKs (25.6%) and AKo (26.7%) and best against KQo (74.8%), AJo (74.2%) and A9o (74.0%). Across the whole range AQ's equity swings from 8.6% at the bottom to 74.8% at the top — the single 58.7% headline is the combo-weighted average of all of it.

Facing a cutoff opening range, 58.7% is a raise-or-fold number, not a call-and-see number: AQ is in front of the average opener but not by enough to want a bloated pot out of position. Against 27.6% of hands, you are priced in against a pot-sized bet (which needs about 33%).

AQ vs CO open FAQ

What is AQ's equity against a cutoff opening range?

AQ has 58.7% equity all-in preflop against a cutoff opening range — it wins 56.5% of runouts outright, loses 39.0% and chops 4.5%. The range holds 366 combos (27.6% of all hands); AQ blocks 50 of them, leaving 316 live. This is exact full board enumeration, not a simulation.

Which hands in a cutoff opening range beat AQ?

AQ is behind 86 of the 316 live combos and ahead of the other 230. The worst matchups are AA (8.6%), AKs (25.6%) and AKo (26.7%); its best are KQo (74.8%), AJo (74.2%) and A9o (74.0%). Every figure is exact, computed against that hand's unblocked combos only.

What hands are in a cutoff opening range?

63 hand classes and 366 combos — 27.6% of the 1,326 possible starting hands. By combo count it is 21% pocket pairs (13 pairs, 78 combos), 43% suited hands (39 classes, 156 combos) and 36% offsuit hands (11 classes, 132 combos). That shape is why AQ runs at 58.7% against it rather than against a random hand.

Does AQ do better against a wider or a tighter range?

Wider, almost always. AQ has 62.7% equity against a loose-passive calling range (50.5% of hands) but 34.1% against a 4-betting range (3.2%). Equity against a range is mostly a question of how many weak hands the range still contains — which is why the same holding can be a monster against a button open and a fold against a 4-bet.

Run any hand vs range in the free equity calculator · All hand-vs-range matchups · aq vs 3bet-value · aq vs 3bet-bluff · aq vs 4bet-range · aa vs utg-open · aa vs mp-open · aa vs co-open