64s Push/Fold: When to Shove Six-Four suited

64s is a Nash shove from the Button up to 2bb in 6-max and 9-max, and from the Small Blind up to 13bb.

In 6-max it shoves from Under the Gun up to 2bb, the Cutoff up to 2bb, the Button up to 2bb, and the Small Blind up to 13bb.

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 2bb, and the Small Blind up to 13bb.

Ranks #86 of 169 hands by how often it shoves · shove in 40 of 225 solved spots · 4 combos

Verdict by seat and stack

64s — 6-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤2bbFoldFoldFoldFoldFoldFold
CO≤2bbFoldFoldFoldFoldFoldFold
BTN≤2bbFoldFoldFoldFoldFoldFold
SB≤13bbShoveShoveShoveShove94%91%
64s — 9-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤2bbFoldFoldFoldFoldFoldFold
MP≤2bbFoldFoldFoldFoldFoldFold
CO≤2bbFoldFoldFoldFoldFoldFold
BTN≤2bbFoldFoldFoldFoldFoldFold
SB≤13bbShoveShoveShoveShove94%91%

How 64s compares

Suitedness is worth 29 extra shove spots here: 64s is a shove in 40 of the 225 solved spots, 64o in 11. From the 6-max Button 64s shoves up to 2bb and 64o up to 1bb.

Hand shape: its small gap still leaves straight draws and being suited adds flush equity when it is called.

64s is an edge hand in 4 published spots, where the Nash solution mixes it: 6-max SB 20bb (91%), 9-max SB 20bb (91%), 6-max SB 15bb (94%), and 9-max SB 15bb (94%). In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.

64s push/fold FAQ

Is 64s a shove at 10bb?

At 10bb in 6-max, 64s is a shove from the Small Blind and a fold from Under the Gun, the Cutoff, and the Button. At 10bb in 9-max, 64s is a shove from the Small Blind and a fold from Under the Gun, the Middle Position, the Cutoff, and the Button.

Up to how many big blinds should 64s shove from the Button?

From the Button, 64s is a Nash shove up to 2bb in 6-max and 9-max.

Up to how many big blinds should 64s shove from the Small Blind?

From the Small Blind, 64s is a Nash shove up to 13bb in 6-max and 9-max.

What stack size do these verdicts assume?

Stacks are total big blinds before posting 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

64oAll 169 hands
5bb chart8bb chart10bb chart12bb chart15bb chart20bb chart

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