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84s Push/Fold: When to Shove Eight-Four suited

84s is a Nash shove from the Button up to 2bb in 6-max and 9-max, and from the Small Blind up to 12bb.

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 12bb.

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 12bb.

Ranks #111 of 169 hands by how often it shoves · shove in 38 of 225 solved spots · 4 combos

Verdict by seat and stack

84s — 6-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤2bbFoldFoldFoldFoldFoldFold
CO≤2bbFoldFoldFoldFoldFoldFold
BTN≤2bb18%FoldFoldFoldFoldFold
SB≤12bbShoveShoveShoveShove10%Fold
84s — 9-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤2bbFoldFoldFoldFoldFoldFold
MP≤2bbFoldFoldFoldFoldFoldFold
CO≤2bbFoldFoldFoldFoldFoldFold
BTN≤2bb18%FoldFoldFoldFoldFold
SB≤12bbShoveShoveShoveShove10%Fold

How 84s compares

Suitedness is worth 25 extra shove spots here: 84s is a shove in 38 of the 225 solved spots, 84o in 13. From the 6-max Button 84s shoves up to 2bb and 84o up to 1bb.

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

84s is an edge hand in 4 published spots, where the Nash solution mixes it: 6-max BTN 5bb (18%), 9-max BTN 5bb (18%), 6-max SB 15bb (10%), and 9-max SB 15bb (10%). In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.

84s push/fold FAQ

Is 84s a shove at 10bb?

At 10bb in 6-max, 84s is a shove from the Small Blind and a fold from Under the Gun, the Cutoff, and the Button. At 10bb in 9-max, 84s 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 84s shove from the Button?

From the Button, 84s is a Nash shove up to 2bb in 6-max and 9-max.

Up to how many big blinds should 84s shove from the Small Blind?

From the Small Blind, 84s is a Nash shove up to 12bb 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

84oAll 169 hands
5bb chart8bb chart10bb chart12bb chart15bb chart20bb chart

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