KQ vs a cutoff opening range: Equity & Strategy
King-Queen (KQ) has 50.8% equity all-in preflop against a cutoff opening range — 366 combos, 27.6% of all starting hands. It wins 48.8% of runouts outright, loses 47.3% and chops 3.9%. These are exact figures from full board enumeration against every unblocked combo in the range, not a simulation.
| Side | Win | Chop | Equity |
|---|---|---|---|
| KQ | 48.8% | 3.9% | 50.8% |
| a cutoff opening range | 47.3% | 3.9% | 49.2% |
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, 325 of those 366 combos are still available (41 are blocked by the cards KQ holds). KQ is ahead of 139 and behind 186.
Hardest parts of the range for KQ
| Hand | Combos | KQ equity |
|---|---|---|
| KK | 3 | 10.0% |
| AA | 6 | 13.9% |
| AKs | 3 | 25.4% |
| AQs | 3 | 25.5% |
| AKo | 9 | 26.3% |
Easiest parts of the range for KQ
| Hand | Combos | KQ equity |
|---|---|---|
| QJo | 9 | 74.3% |
| KJo | 9 | 74.2% |
| KTo | 9 | 73.9% |
| Q8s | 3 | 71.7% |
| Q9s | 3 | 70.2% |
KQ has 50.8% equity all-in preflop against a cutoff opening range — 366 combos, 27.6% of all hands. King-Queen wins the pot outright 48.8% of the time, loses 47.3% and chops 3.9%. Your own two cards remove 41 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 139 of the 325 combos you can still be facing (43%), which is what a 50.8% number actually looks like hand by hand.
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. Inside that range, the combos that hurt KQ most are KK (10.0%), AA (13.9%) and AKs (25.4%); the ones you want to see are QJo (74.3%), KJo (74.2%) and KTo (73.9%). Across the whole range KQ's equity swings from 10.0% at the bottom to 74.3% at the top — the single 50.8% headline is the combo-weighted average of all of it.
Facing a cutoff opening range, 50.8% is a raise-or-fold number, not a call-and-see number: KQ 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%).
KQ vs CO open FAQ
What is KQ's equity against a cutoff opening range?
KQ has 50.8% equity all-in preflop against a cutoff opening range — it wins 48.8% of runouts outright, loses 47.3% and chops 3.9%. The range holds 366 combos (27.6% of all hands); KQ blocks 41 of them, leaving 325 live. This is exact full board enumeration, not a simulation.
Which hands in a cutoff opening range beat KQ?
KQ is behind 186 of the 325 live combos and ahead of the other 139. The worst matchups are KK (10.0%), AA (13.9%) and AKs (25.4%); its best are QJo (74.3%), KJo (74.2%) and KTo (73.9%). 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 KQ runs at 50.8% against it rather than against a random hand.
Does KQ do better against a wider or a tighter range?
Wider, almost always. KQ has 55.8% equity against a loose-passive calling range (50.5% of hands) but 26.5% 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 · kq vs 3bet-value · kq vs 4bet-range · kq vs calling-station · aa vs utg-open · aa vs mp-open · aa vs co-open