A4s Push/Fold: When to Shove Ace-Four suited
A4s is a Nash shove from the Button up to 20bb 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 13bb, the Button up to 20bb, and the Small Blind at every stack up to 25bb.
In 9-max it shoves from Under the Gun up to 4bb, the Middle Position up to 5bb, the Cutoff up to 13bb, the Button up to 20bb, and the Small Blind at every stack up to 25bb.
Ranks #38 of 169 hands by how often it shoves · shove in 132 of 225 solved spots · 4 combos
Verdict by seat and stack
How A4s 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 being suited adds flush equity when it is called.
A4s is an edge hand in 7 published spots, where the Nash solution mixes it: 9-max UTG 5bb (65%), 6-max UTG 8bb (16%), 9-max MP 8bb (10%), 9-max UTG 8bb (7%), 6-max UTG 10bb (6%), and 6-max CO 15bb (6%), plus 1 more. In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.
A4s push/fold FAQ
Is A4s a shove at 10bb?
At 10bb in 6-max, A4s is a shove from the Cutoff, the Button, and the Small Blind and mixed from Under the Gun (6%). At 10bb in 9-max, A4s is a shove from the Cutoff, the Button, and the Small Blind and a fold from Under the Gun and the Middle Position.
Up to how many big blinds should A4s shove from the Button?
From the Button, A4s is a Nash shove up to 20bb in 6-max and 9-max.
Up to how many big blinds should A4s shove from the Small Blind?
From the Small Blind, A4s 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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