AK vs a cutoff opening range: Equity & Strategy
Ace-King (AK) has 61.7% equity all-in preflop against a cutoff opening range — 366 combos, 27.6% of all starting hands. It wins 59.5% of runouts outright, loses 36.2% and chops 4.3%. These are exact figures from full board enumeration against every unblocked combo in the range, not a simulation.
| Side | Win | Chop | Equity |
|---|---|---|---|
| AK | 59.5% | 4.3% | 61.7% |
| a cutoff opening range | 36.2% | 4.3% | 38.3% |
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, 310 of those 366 combos are still available (56 are blocked by the cards AK holds). AK is ahead of 236 and behind 74.
Hardest parts of the range for AK
| Hand | Combos | AK equity |
|---|---|---|
| AA | 3 | 8.2% |
| KK | 3 | 31.1% |
| TT | 6 | 43.8% |
| 6 | 43.9% | |
| JJ | 6 | 43.9% |
Easiest parts of the range for AK
| Hand | Combos | AK equity |
|---|---|---|
| KQo | 9 | 75.0% |
| KJo | 9 | 74.7% |
| AQo | 9 | 74.7% |
| A9o | 9 | 74.5% |
| KTo | 9 | 74.3% |
Put AK up against a cutoff opening range — 366 combos, 27.6% of all hands — and the exact answer is 61.7% equity: 59.5% outright wins, 36.2% losses and 4.3% chops. Your own two cards remove 56 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 236 of the 310 combos you can still be facing (76%), which is what a 61.7% number actually looks like hand by hand.
The range behind this number is not a guess. 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. AK's worst spots in it are AA (8.2%), KK (31.1%) and TT (43.8%) — and its best are KQo (75.0%), KJo (74.7%) and AQo (74.7%). Across the whole range AK's equity swings from 8.2% at the bottom to 75.0% at the top — the single 61.7% headline is the combo-weighted average of all of it.
Facing a cutoff opening range, 61.7% is a raise-or-fold number, not a call-and-see number: AK 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%).
AK vs CO open FAQ
What is AK's equity against a cutoff opening range?
AK has 61.7% equity all-in preflop against a cutoff opening range — it wins 59.5% of runouts outright, loses 36.2% and chops 4.3%. The range holds 366 combos (27.6% of all hands); AK blocks 56 of them, leaving 310 live. This is exact full board enumeration, not a simulation.
Which hands in a cutoff opening range beat AK?
AK is behind 74 of the 310 live combos and ahead of the other 236. The worst matchups are AA (8.2%), KK (31.1%) and TT (43.8%); its best are KQo (75.0%), KJo (74.7%) and AQo (74.7%). 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 AK runs at 61.7% against it rather than against a random hand.
Does AK do better against a wider or a tighter range?
Wider, almost always. AK has 64.5% equity against a loose-passive calling range (50.5% of hands) but 46.1% 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 · ak vs 3bet-value · ak vs 3bet-bluff · ak vs 4bet-range · aa vs utg-open · aa vs mp-open · aa vs co-open