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

64s is a Nash shove from the Button up to 3bb in 6-max and 9-max, and from the Small Blind up to 16bb.

In 6-max it shoves from Under the Gun up to 2bb, the Cutoff up to 2bb, the Button up to 3bb, and the Small Blind up to 16bb.

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 3bb, and the Small Blind up to 16bb.

Ranks #82 of 169 hands by how often it shoves · shove in 48 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≤2bb34%FoldFoldFoldFoldFold
BTN≤3bb93%86%31%FoldFoldFold
SB≤16bbShoveShoveShoveShoveShove93%
64s — 9-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤2bbFoldFoldFoldFoldFoldFold
MP≤2bbFoldFoldFoldFoldFoldFold
CO≤2bb34%FoldFoldFoldFoldFold
BTN≤3bb93%86%31%FoldFoldFold
SB≤16bbShoveShoveShoveShoveShove93%

How 64s compares

Suitedness is worth 31 extra shove spots here: 64s is a shove in 48 of the 225 solved spots, 64o in 17. From the 6-max Button 64s shoves up to 3bb 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 10 published spots, where the Nash solution mixes it: 6-max CO 5bb (34%), 9-max CO 5bb (34%), 6-max BTN 10bb (31%), 9-max BTN 10bb (31%), 6-max BTN 8bb (86%), and 9-max BTN 8bb (86%), plus 4 more. 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, mixed from the Button (31%), and a fold from Under the Gun and the Cutoff. At 10bb in 9-max, 64s is a shove from the Small Blind, mixed from the Button (31%), and a fold from Under the Gun, the Middle Position, and the Cutoff.

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

From the Button, 64s is a Nash shove up to 3bb 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 16bb 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

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

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