AJo Push/Fold: When to Shove Ace-Jack offsuit
AJo is a Nash shove from the Button at every stack up to 25bb; from UTG it shoves up to 13bb in 6-max and up to 9bb in 9-max.
In 6-max it shoves from Under the Gun up to 13bb, the Cutoff at every stack up to 25bb, the Button at every stack up to 25bb, and the Small Blind at every stack up to 25bb.
In 9-max it shoves from Under the Gun up to 9bb, the Middle Position up to 11bb, the Cutoff at every stack up to 25bb, the Button at every stack up to 25bb, and the Small Blind at every stack up to 25bb.
Ranks #16 of 169 hands by how often it shoves · shove in 183 of 225 solved spots · 12 combos
Verdict by seat and stack
How AJo compares
Suitedness is worth 20 extra shove spots here: AJs is a shove in 203 of the 225 solved spots, AJo in 183. From the 6-max Button both shove at every stack up to 25bb.
Hand shape: the ace is a blocker — it removes some of the aces and big pairs a caller needs.
AJo is an edge hand in 9 published spots, where the Nash solution mixes it: 6-max UTG 15bb (53%), 9-max UTG 10bb (63%), 9-max UTG 12bb (33%), 9-max MP 15bb (31%), 9-max MP 12bb (77%), and 6-max UTG 20bb (21%), plus 3 more. In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.
AJo push/fold FAQ
Is AJo a shove at 10bb?
At 10bb in 6-max, AJo is a shove from Under the Gun, the Cutoff, the Button, and the Small Blind. At 10bb in 9-max, AJo is a shove from the Middle Position, the Cutoff, the Button, and the Small Blind and mixed from Under the Gun (63%).
Up to how many big blinds should AJo shove from the Button?
From the Button, AJo is a Nash shove at every stack up to 25bb in 6-max and 9-max.
Up to how many big blinds should AJo shove from the Small Blind?
From the Small Blind, AJo is a Nash shove at every stack up to 25bb in 6-max and 9-max.
What stack size do these verdicts assume?
Stacks are measured in big blinds behind the posted blinds, chip-EV, no antes, solved from 1 to 25bb. Shove means the Nash solution pushes the hand at least 95% of the time, fold at most 5%, and anything between is a mix.
How these numbers are computed: methodology and open dataset.
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