KQs vs a cutoff opening range: Equity & Strategy
King-Queen Suited (KQs) has 52.7% equity all-in preflop against a cutoff opening range — 366 combos, 27.6% of all starting hands. It wins 50.8% of runouts outright, loses 45.4% and chops 3.8%. These are exact figures from full board enumeration against every unblocked combo in the range, not a simulation.
| Side | Win | Chop | Equity |
|---|---|---|---|
| KQs | 50.8% | 3.8% | 52.7% |
| a cutoff opening range | 45.4% | 3.8% | 47.3% |
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, 325 of those 366 combos are still available (41 are blocked by the cards KQs holds). KQs is ahead of 150 and behind 175.
Hardest parts of the range for KQs
| Hand | Combos | KQs equity |
|---|---|---|
| KK | 3 | 13.9% |
| AA | 6 | 17.1% |
| AKs | 3 | 28.6% |
| AQs | 3 | 28.6% |
| AKo | 9 | 29.6% |
Easiest parts of the range for KQs
| Hand | Combos | KQs equity |
|---|---|---|
| KJo | 9 | 75.0% |
| QJo | 9 | 74.9% |
| KTo | 9 | 74.7% |
| Q8s | 3 | 72.4% |
| Q9s | 3 | 71.0% |
Put KQs up against a cutoff opening range — 366 combos, 27.6% of all hands — and the exact answer is 52.7% equity: 50.8% outright wins, 45.4% losses and 3.8% chops. 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 150 of the 325 combos you can still be facing (46%), which is what a 52.7% 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. KQs's worst spots in it are KK (13.9%), AA (17.1%) and AKs (28.6%) — and its best are KJo (75.0%), QJo (74.9%) and KTo (74.7%). Across the whole range KQs's equity swings from 13.9% at the bottom to 75.0% at the top — the single 52.7% headline is the combo-weighted average of all of it.
The practical read on 52.7% against a cutoff opening range: you can 3-bet for value or flat in position, but this is not a stack-off-preflop holding against a 27.6% opener.
KQs vs CO open FAQ
What is KQs's equity against a cutoff opening range?
KQs has 52.7% equity all-in preflop against a cutoff opening range — it wins 50.8% of runouts outright, loses 45.4% and chops 3.8%. The range holds 366 combos (27.6% of all hands); KQs blocks 41 of them, leaving 325 live. This is exact full board enumeration, not a simulation.
Which hands in a cutoff opening range beat KQs?
KQs is behind 175 of the 325 live combos and ahead of the other 150. The worst matchups are KK (13.9%), AA (17.1%) and AKs (28.6%); its best are KJo (75.0%), QJo (74.9%) and KTo (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 KQs runs at 52.7% against it rather than against a random hand.
Does KQs do better against a wider or a tighter range?
Wider, almost always. KQs has 57.5% equity against a loose-passive calling range (50.5% of hands) but 29.5% 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 · kqs vs 3bet-value · kqs vs 4bet-range · kqs vs calling-station · aa vs utg-open · aa vs mp-open · aa vs co-open