A9o Push/Fold: When to Shove Ace-Nine offsuit
A9o is a Nash shove from the Button up to 18bb in 6-max and 9-max, and from the Small Blind at every stack up to 25bb.
In 6-max it shoves from Under the Gun up to 7bb, the Cutoff up to 12bb, the Button up to 18bb, and the Small Blind at every stack up to 25bb.
In 9-max it shoves from Under the Gun up to 5bb, the Middle Position up to 6bb, the Cutoff up to 12bb, the Button up to 18bb, and the Small Blind at every stack up to 25bb.
Ranks #39 of 169 hands by how often it shoves · shove in 128 of 225 solved spots · 12 combos
Verdict by seat and stack
How A9o compares
Suitedness is worth 37 extra shove spots here: A9s is a shove in 165 of the 225 solved spots, A9o in 128. From the 6-max Button A9s shoves at every stack up to 25bb and A9o up to 18bb.
Hand shape: the ace is a blocker — it removes some of the aces and big pairs a caller needs.
A9o is an edge hand in 17 published spots, where the Nash solution mixes it: 6-max UTG 8bb (56%), 6-max BTN 20bb (28%), 9-max MP 8bb (28%), 9-max BTN 20bb (28%), 6-max UTG 10bb (17%), and 9-max UTG 8bb (17%), plus 11 more. In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.
A9o push/fold FAQ
Is A9o a shove at 10bb?
At 10bb in 6-max, A9o is a shove from the Cutoff, the Button, and the Small Blind and mixed from Under the Gun (17%). At 10bb in 9-max, A9o is a shove from the Cutoff, the Button, and the Small Blind and mixed from Under the Gun (10%) and the Middle Position (12%).
Up to how many big blinds should A9o shove from the Button?
From the Button, A9o is a Nash shove up to 18bb in 6-max and 9-max.
Up to how many big blinds should A9o shove from the Small Blind?
From the Small Blind, A9o 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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