A4o Push/Fold: When to Shove Ace-Four offsuit
A4o is a Nash shove from the Button up to 13bb 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 5bb, the Cutoff up to 8bb, the Button up to 13bb, 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 8bb, the Button up to 13bb, and the Small Blind at every stack up to 25bb.
Ranks #61 of 169 hands by how often it shoves · shove in 104 of 225 solved spots · 12 combos
Verdict by seat and stack
How A4o compares
Suitedness is worth 28 extra shove spots here: A4s is a shove in 132 of the 225 solved spots, A4o in 104. From the 6-max Button A4s shoves up to 20bb and A4o up to 13bb.
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.
A4o is an edge hand in 2 published spots, where the Nash solution mixes it: 9-max MP 5bb (24%) and 9-max UTG 5bb (14%). In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.
A4o push/fold FAQ
Is A4o a shove at 10bb?
At 10bb in 6-max, A4o 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, A4o 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 A4o shove from the Button?
From the Button, A4o is a Nash shove up to 13bb in 6-max and 9-max.
Up to how many big blinds should A4o shove from the Small Blind?
From the Small Blind, A4o 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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