QJs vs a cutoff opening range: Equity & Strategy
Queen-Jack Suited (QJs) has 47.0% equity all-in preflop against a cutoff opening range — 366 combos, 27.6% of all starting hands. It wins 45.2% of runouts outright, loses 51.2% and chops 3.6%. These are exact figures from full board enumeration against every unblocked combo in the range, not a simulation.
| Side | Win | Chop | Equity |
|---|---|---|---|
| QJs | 45.2% | 3.6% | 47.0% |
| a cutoff opening range | 51.2% | 3.6% | 53.0% |
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, 328 of those 366 combos are still available (38 are blocked by the cards QJs holds). QJs is ahead of 117 and behind 211.
Hardest parts of the range for QJs
| Hand | Combos | QJs equity |
|---|---|---|
| 3 | 15.8% | |
| KK | 6 | 17.7% |
| AA | 6 | 19.1% |
| KQs | 3 | 29.2% |
| KJs | 3 | 29.2% |
Easiest parts of the range for QJs
| Hand | Combos | QJs equity |
|---|---|---|
| JTo | 9 | 74.3% |
| J8s | 3 | 70.8% |
| J9s | 3 | 70.4% |
| JTs | 3 | 70.3% |
| Q8s | 3 | 70.0% |
QJs has 47.0% equity all-in preflop against a cutoff opening range — 366 combos, 27.6% of all hands. Queen-Jack Suited wins the pot outright 45.2% of the time, loses 51.2% and chops 3.6%. Your own two cards remove 38 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 only 117 of the 328 combos still live (36%) — the rest of the range is level with or in front of you, which is why the figure sits below even money.
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. QJs's worst spots in it are QQ (15.8%), KK (17.7%) and AA (19.1%) — and its best are JTo (74.3%), J8s (70.8%) and J9s (70.4%). Across the whole range QJs's equity swings from 15.8% at the bottom to 74.3% at the top — the single 47.0% headline is the combo-weighted average of all of it.
Facing a cutoff opening range, 47.0% is a raise-or-fold number, not a call-and-see number: QJs is behind the range, so it needs position, implied odds or fold equity rather than showdown value. Against 27.6% of hands, you are priced in against a pot-sized bet (which needs about 33%).
QJs vs CO open FAQ
What is QJs's equity against a cutoff opening range?
QJs has 47.0% equity all-in preflop against a cutoff opening range — it wins 45.2% of runouts outright, loses 51.2% and chops 3.6%. The range holds 366 combos (27.6% of all hands); QJs blocks 38 of them, leaving 328 live. This is exact full board enumeration, not a simulation.
Which hands in a cutoff opening range beat QJs?
QJs is behind 211 of the 328 live combos and ahead of the other 117. The worst matchups are QQ (15.8%), KK (17.7%) and AA (19.1%); its best are JTo (74.3%), J8s (70.8%) and J9s (70.4%). 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 QJs runs at 47.0% against it rather than against a random hand.
Does QJs do better against a wider or a tighter range?
Wider, almost always. QJs has 52.8% equity against a loose-passive calling range (50.5% of hands) but 31.6% 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 · qjs vs 3bet-value · qjs vs 4bet-range · qjs vs calling-station · aa vs utg-open · aa vs mp-open · aa vs co-open