AJ vs a 10bb shoving range: Equity & Strategy

Ace-Jack (AJ) has 56.3% equity all-in preflop against a 10bb shoving range — 334 combos, 25.2% of all starting hands. It wins 53.3% of runouts outright, loses 40.6% and chops 6.1%. These are exact figures from full board enumeration against every unblocked combo in the range, not a simulation.

SideWinChopEquity
AJ53.3%6.1%56.3%
a 10bb shoving range40.6%6.1%43.7%

The range this is computed against

At ten big blinds there is no postflop game left — the shove either shows a profit outright or it does not — so a jamming range is far wider than an opening range from the same seat. A typical late-position 10bb push is roughly a quarter of all hands: every pair, every suited ace, the good suited kings and connectors, and offsuit aces down to A5o.

10bb shove — 334 combos, 25.2% 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, QJs, QTs, Q9s, JTs, J9s, T9s, 98s, 87s, 76s, 65s, AKo, AQo, AJo, ATo, A9o, A8o, A7o, A6o, A5o, KQo, KJo, KTo

After card removal, 279 of those 334 combos are still available (55 are blocked by the cards AJ holds). AJ is ahead of 181 and behind 98.

Hardest parts of the range for AJ

HandCombosAJ equity
AA39.0%
AKs325.9%
AQs326.1%
AKo927.0%
AQo927.2%

Easiest parts of the range for AJ

HandCombosAJ equity
KJo974.6%
A9o973.3%
A6o973.1%
ATo973.1%
A8o973.0%

Put AJ up against a 10bb shoving range — 334 combos, 25.2% of all hands — and the exact answer is 56.3% equity: 53.3% outright wins, 40.6% losses and 6.1% chops. Your own two cards remove 55 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 181 of the 279 combos you can still be facing (65%), which is what a 56.3% number actually looks like hand by hand.

At ten big blinds there is no postflop game left — the shove either shows a profit outright or it does not — so a jamming range is far wider than an opening range from the same seat. A typical late-position 10bb push is roughly a quarter of all hands: every pair, every suited ace, the good suited kings and connectors, and offsuit aces down to A5o. Inside that range, the combos that hurt AJ most are AA (9.0%), AKs (25.9%) and AQs (26.1%); the ones you want to see are KJo (74.6%), A9o (73.3%) and A6o (73.1%). Across the whole range AJ's equity swings from 9.0% at the bottom to 74.6% at the top — the single 56.3% headline is the combo-weighted average of all of it.

Against a 10bb shoving range (25.2% of hands), AJ is a 56.3% proposition. You are the favourite, so the only question is whether the stack sizes and the payout ladder let you take the flip.

AJ vs 10bb shove FAQ

What is AJ's equity against a 10bb shoving range?

AJ has 56.3% equity all-in preflop against a 10bb shoving range — it wins 53.3% of runouts outright, loses 40.6% and chops 6.1%. The range holds 334 combos (25.2% of all hands); AJ blocks 55 of them, leaving 279 live. This is exact full board enumeration, not a simulation.

Which hands in a 10bb shoving range beat AJ?

AJ is behind 98 of the 279 live combos and ahead of the other 181. The worst matchups are AA (9.0%), AKs (25.9%) and AQs (26.1%); its best are KJo (74.6%), A9o (73.3%) and A6o (73.1%). Every figure is exact, computed against that hand's unblocked combos only.

What hands are in a 10bb shoving range?

53 hand classes and 334 combos — 25.2% of the 1,326 possible starting hands. By combo count it is 23% pocket pairs (13 pairs, 78 combos), 34% suited hands (28 classes, 112 combos) and 43% offsuit hands (12 classes, 144 combos). That shape is why AJ runs at 56.3% against it rather than against a random hand.

Does AJ do better against a wider or a tighter range?

Wider, almost always. AJ has 61.1% equity against a loose-passive calling range (50.5% of hands) but 33.5% 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 · aj vs utg-open · aj vs mp-open · aj vs co-open · aa vs shove-10bb · aa vs shove-20bb · kk vs shove-10bb