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54s Push/Fold: When to Shove Five-Four suited

54s is a Nash shove from the Button up to 6bb in 6-max and 9-max, and from the Small Blind up to 20bb.

In 6-max it shoves from Under the Gun up to 2bb, the Cutoff up to 2bb, the Button up to 6bb, and the Small Blind up to 20bb.

In 9-max it shoves from Under the Gun up to 2bb, the Middle Position up to 2bb, the Cutoff up to 2bb, the Button up to 6bb, and the Small Blind up to 20bb.

Ranks #72 of 169 hands by how often it shoves · shove in 62 of 225 solved spots · 4 combos

Verdict by seat and stack

54s — 6-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤2bbFoldFoldFoldFoldFoldFold
CO≤2bb82%50%FoldFoldFoldFold
BTN≤6bbShove92%89%84%62%Fold
SB≤20bbShoveShoveShoveShoveShoveShove
54s — 9-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤2bbFoldFoldFoldFoldFoldFold
MP≤2bbFoldFoldFoldFoldFoldFold
CO≤2bb82%50%FoldFoldFoldFold
BTN≤6bbShove92%89%84%62%Fold
SB≤20bbShoveShoveShoveShoveShoveShove

How 54s 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 being suited adds flush equity when it is called.

54s is an edge hand in 12 published spots, where the Nash solution mixes it: 6-max CO 8bb (50%), 9-max CO 8bb (50%), 6-max BTN 15bb (62%), 9-max BTN 15bb (62%), 6-max CO 5bb (82%), and 9-max CO 5bb (82%), plus 6 more. In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.

54s push/fold FAQ

Is 54s a shove at 10bb?

At 10bb in 6-max, 54s is a shove from the Small Blind, mixed from the Button (89%), and a fold from Under the Gun and the Cutoff. At 10bb in 9-max, 54s is a shove from the Small Blind, mixed from the Button (89%), and a fold from Under the Gun, the Middle Position, and the Cutoff.

Up to how many big blinds should 54s shove from the Button?

From the Button, 54s is a Nash shove up to 6bb in 6-max and 9-max.

Up to how many big blinds should 54s shove from the Small Blind?

From the Small Blind, 54s is a Nash shove up to 20bb 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.

Related

54oAll 169 hands
5bb chart8bb chart10bb chart12bb chart15bb chart20bb chart

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