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J4s Push/Fold: When to Shove Jack-Four suited

J4s is a Nash shove from the Button up to 4bb 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 3bb, the Button up to 4bb, 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 3bb, the Button up to 4bb, and the Small Blind up to 13bb.

Ranks #100 of 169 hands by how often it shoves · shove in 46 of 225 solved spots · 4 combos

Verdict by seat and stack

J4s — 6-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤2bbFoldFoldFoldFoldFoldFold
CO≤3bbFoldFoldFoldFoldFoldFold
BTN≤4bb91%FoldFoldFoldFoldFold
SB≤13bbShoveShoveShoveShove14%Fold
J4s — 9-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤2bbFoldFoldFoldFoldFoldFold
MP≤2bbFoldFoldFoldFoldFoldFold
CO≤3bbFoldFoldFoldFoldFoldFold
BTN≤4bb91%FoldFoldFoldFoldFold
SB≤13bbShoveShoveShoveShove14%Fold

How J4s compares

Suitedness is worth 22 extra shove spots here: J4s is a shove in 46 of the 225 solved spots, J4o in 24. From the 6-max Button J4s shoves up to 4bb and J4o up to 2bb.

Hand shape: being suited adds flush equity when it is called.

J4s is an edge hand in 4 published spots, where the Nash solution mixes it: 6-max SB 15bb (14%), 9-max SB 15bb (14%), 6-max BTN 5bb (91%), and 9-max BTN 5bb (91%). In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.

J4s push/fold FAQ

Is J4s a shove at 10bb?

At 10bb in 6-max, J4s is a shove from the Small Blind and a fold from Under the Gun, the Cutoff, and the Button. At 10bb in 9-max, J4s 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 J4s shove from the Button?

From the Button, J4s is a Nash shove up to 4bb in 6-max and 9-max.

Up to how many big blinds should J4s shove from the Small Blind?

From the Small Blind, J4s is a Nash shove up to 13bb 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

J4oAll 169 hands
5bb chart8bb chart10bb chart12bb chart15bb chart20bb chart

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