A3o Push/Fold: When to Shove Ace-Three offsuit
A3o is a Nash shove from the Button up to 12bb 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 4bb, the Cutoff up to 7bb, the Button up to 12bb, and the Small Blind at every stack up to 25bb.
In 9-max it shoves from Under the Gun up to 3bb, the Middle Position up to 4bb, the Cutoff up to 7bb, the Button up to 12bb, and the Small Blind at every stack up to 25bb.
Ranks #65 of 169 hands by how often it shoves · shove in 99 of 225 solved spots · 12 combos
Verdict by seat and stack
How A3o compares
Suitedness is worth 28 extra shove spots here: A3s is a shove in 127 of the 225 solved spots, A3o in 99. From the 6-max Button A3s shoves up to 19bb and A3o up to 12bb.
Hand shape: the ace is a blocker — it removes some of the aces and big pairs a caller needs and the weak offsuit kicker is often dominated when called.
A3o is an edge hand in 5 published spots, where the Nash solution mixes it: 6-max CO 8bb (44%), 9-max CO 8bb (44%), 6-max UTG 5bb (40%), 9-max MP 5bb (17%), and 9-max UTG 5bb (11%). In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.
A3o push/fold FAQ
Is A3o a shove at 10bb?
At 10bb in 6-max, A3o is a shove from the Button and the Small Blind and a fold from Under the Gun and the Cutoff. At 10bb in 9-max, A3o is a shove from the Button and the Small Blind and a fold from Under the Gun, the Middle Position, and the Cutoff.
Up to how many big blinds should A3o shove from the Button?
From the Button, A3o is a Nash shove up to 12bb in 6-max and 9-max.
Up to how many big blinds should A3o shove from the Small Blind?
From the Small Blind, A3o 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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