54o Push/Fold: When to Shove Five-Four offsuit
54o is a Nash shove from the Button up to 2bb in 6-max and 9-max, and from the Small Blind up to 9bb.
In 6-max it shoves from Under the Gun up to 1bb, the Cutoff up to 1bb, the Button up to 2bb, and the Small Blind up to 9bb.
In 9-max it shoves from Under the Gun up to 1bb, the Middle Position up to 1bb, the Cutoff up to 1bb, the Button up to 2bb, and the Small Blind up to 9bb.
Ranks #132 of 169 hands by how often it shoves · shove in 27 of 225 solved spots · 12 combos
Verdict by seat and stack
How 54o compares
Suitedness is worth 35 extra shove spots here: 54s is a shove in 62 of the 225 solved spots, 54o in 27. From the 6-max Button 54s shoves up to 6bb and 54o up to 2bb.
Hand shape: as a connector it can make straights in both directions and the weak offsuit kicker is often dominated when called.
54o is an edge hand in 2 published spots, where the Nash solution mixes it: 6-max SB 10bb (85%) and 9-max SB 10bb (85%). In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.
54o push/fold FAQ
Is 54o a shove at 10bb?
At 10bb in 6-max, 54o is mixed from the Small Blind (85%) and a fold from Under the Gun, the Cutoff, and the Button. At 10bb in 9-max, 54o is mixed from the Small Blind (85%) and a fold from Under the Gun, the Middle Position, the Cutoff, and the Button.
Up to how many big blinds should 54o shove from the Button?
From the Button, 54o is a Nash shove up to 2bb in 6-max and 9-max.
Up to how many big blinds should 54o shove from the Small Blind?
From the Small Blind, 54o is a Nash shove up to 9bb 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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