QJs vs a button opening range: Equity & Strategy
Queen-Jack Suited (QJs) has 51.4% equity all-in preflop against a button opening range — 586 combos, 44.2% of all starting hands. It wins 49.8% of runouts outright, loses 47.1% and chops 3.0%. These are exact figures from full board enumeration against every unblocked combo in the range, not a simulation.
| Side | Win | Chop | Equity |
|---|---|---|---|
| QJs | 49.8% | 3.0% | 51.4% |
| a button opening range | 47.1% | 3.0% | 48.6% |
The range this is computed against
The button is the widest legitimate opening range in poker — guaranteed position for the rest of the hand and only two blinds left to act, so close to 45% of all hands open profitably: every pair, every suited ace and king, most suited queens and jacks, all the suited connectors and gappers, and offsuit aces all the way down to A2o.
BTN open — 586 combos, 44.2% 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, K4s, K3s, K2s, QJs, QTs, Q9s, Q8s, Q7s, Q6s, Q5s, Q4s, Q3s, Q2s, JTs, J9s, J8s, J7s, T9s, T8s, T7s, T6s, 98s, 97s, 96s, 95s, 87s, 86s, 85s, 76s, 75s, 74s, 65s, 64s, 63s, 54s, 53s, 52s, 43s, AKo, AQo, AJo, ATo, A9o, A8o, A7o, A6o, A5o, A4o, A3o, A2o, KQo, KJo, KTo, K9o, QJo, QTo, Q9o, JTo, J9o, T9o, 98o
After card removal, 532 of those 586 combos are still available (54 are blocked by the cards QJs holds). QJs is ahead of 225 and behind 307.
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 |
|---|---|---|
| J9o | 9 | 74.5% |
| JTo | 9 | 74.3% |
| Q9o | 9 | 74.0% |
| QTo | 9 | 73.8% |
| J7s | 3 | 72.2% |
Put QJs up against a button opening range — 586 combos, 44.2% of all hands — and the exact answer is 51.4% equity: 49.8% outright wins, 47.1% losses and 3.0% chops. Your own two cards remove 54 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 225 of the 532 combos you can still be facing (42%), which is what a 51.4% number actually looks like hand by hand.
The range behind this number is not a guess. The button is the widest legitimate opening range in poker — guaranteed position for the rest of the hand and only two blinds left to act, so close to 45% of all hands open profitably: every pair, every suited ace and king, most suited queens and jacks, all the suited connectors and gappers, and offsuit aces all the way down to A2o. QJs's worst spots in it are QQ (15.8%), KK (17.7%) and AA (19.1%) — and its best are J9o (74.5%), JTo (74.3%) and Q9o (74.0%). Across the whole range QJs's equity swings from 15.8% at the bottom to 74.5% at the top — the single 51.4% headline is the combo-weighted average of all of it.
Facing a button opening range, 51.4% is a raise-or-fold number, not a call-and-see number: QJs is in front of the average opener but not by enough to want a bloated pot out of position. Against 44.2% of hands, you are priced in against a pot-sized bet (which needs about 33%).
QJs vs BTN open FAQ
What is QJs's equity against a button opening range?
QJs has 51.4% equity all-in preflop against a button opening range — it wins 49.8% of runouts outright, loses 47.1% and chops 3.0%. The range holds 586 combos (44.2% of all hands); QJs blocks 54 of them, leaving 532 live. This is exact full board enumeration, not a simulation.
Which hands in a button opening range beat QJs?
QJs is behind 307 of the 532 live combos and ahead of the other 225. The worst matchups are QQ (15.8%), KK (17.7%) and AA (19.1%); its best are J9o (74.5%), JTo (74.3%) and Q9o (74.0%). Every figure is exact, computed against that hand's unblocked combos only.
What hands are in a button opening range?
94 hand classes and 586 combos — 44.2% of the 1,326 possible starting hands. By combo count it is 13% pocket pairs (13 pairs, 78 combos), 40% suited hands (58 classes, 232 combos) and 47% offsuit hands (23 classes, 276 combos). That shape is why QJs runs at 51.4% 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