AK vs a button opening range: Equity & Strategy

Ace-King (AK) has 64.0% equity all-in preflop against a button opening range — 586 combos, 44.2% of all starting hands. It wins 62.3% of runouts outright, loses 34.4% and chops 3.3%. These are exact figures from full board enumeration against every unblocked combo in the range, not a simulation.

SideWinChopEquity
AK62.3%3.3%64.0%
a button opening range34.4%3.3%36.0%

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, 506 of those 586 combos are still available (80 are blocked by the cards AK holds). AK is ahead of 432 and behind 74.

Hardest parts of the range for AK

HandCombosAK equity
AA38.2%
KK331.1%
TT643.8%
QQ643.9%
JJ643.9%

Easiest parts of the range for AK

HandCombosAK equity
K9o976.4%
KQo975.0%
KJo974.7%
AQo974.7%
A9o974.5%

AK has 64.0% equity all-in preflop against a button opening range — 586 combos, 44.2% of all hands. Ace-King wins the pot outright 62.3% of the time, loses 34.4% and chops 3.3%. Your own two cards remove 80 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 432 of the 506 combos you can still be facing (85%), which is what a 64.0% 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. AK's worst spots in it are AA (8.2%), KK (31.1%) and TT (43.8%) — and its best are K9o (76.4%), KQo (75.0%) and KJo (74.7%). Across the whole range AK's equity swings from 8.2% at the bottom to 76.4% at the top — the single 64.0% headline is the combo-weighted average of all of it.

Facing a button opening range, 64.0% 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 44.2% of hands, you are priced in against a pot-sized bet (which needs about 33%).

AK vs BTN open FAQ

What is AK's equity against a button opening range?

AK has 64.0% equity all-in preflop against a button opening range — it wins 62.3% of runouts outright, loses 34.4% and chops 3.3%. The range holds 586 combos (44.2% of all hands); AK blocks 80 of them, leaving 506 live. This is exact full board enumeration, not a simulation.

Which hands in a button opening range beat AK?

AK is behind 74 of the 506 live combos and ahead of the other 432. The worst matchups are AA (8.2%), KK (31.1%) and TT (43.8%); its best are K9o (76.4%), KQo (75.0%) and KJo (74.7%). 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 AK runs at 64.0% 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