87o Push/Fold: When to Shove Eight-Seven offsuit

87o is a Nash shove from the Button up to 3bb in 6-max and 9-max, and from the Small Blind up to 15bb.

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 15bb.

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 15bb.

Ranks #96 of 169 hands by how often it shoves · shove in 46 of 225 solved spots · 12 combos

Verdict by seat and stack

87o — 6-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤2bbFoldFoldFoldFoldFoldFold
CO≤2bbFoldFoldFoldFoldFoldFold
BTN≤3bb90%9%FoldFoldFoldFold
SB≤15bbShoveShoveShoveShoveShove24%
87o — 9-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤2bbFoldFoldFoldFoldFoldFold
MP≤2bbFoldFoldFoldFoldFoldFold
CO≤2bbFoldFoldFoldFoldFoldFold
BTN≤3bb90%9%FoldFoldFoldFold
SB≤15bbShoveShoveShoveShoveShove24%

How 87o compares

Suitedness is worth 42 extra shove spots here: 87s is a shove in 88 of the 225 solved spots, 87o in 46. From the 6-max Button 87s shoves up to 10bb and 87o up to 3bb.

Hand shape: as a connector it can make straights in both directions and the weak offsuit kicker is often dominated when called.

87o is an edge hand in 6 published spots, where the Nash solution mixes it: 6-max SB 20bb (24%), 9-max SB 20bb (24%), 6-max BTN 5bb (90%), 9-max BTN 5bb (90%), 6-max BTN 8bb (9%), and 9-max BTN 8bb (9%). In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.

87o push/fold FAQ

Is 87o a shove at 10bb?

At 10bb in 6-max, 87o is a shove from the Small Blind and a fold from Under the Gun, the Cutoff, and the Button. At 10bb in 9-max, 87o 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 87o shove from the Button?

From the Button, 87o is a Nash shove up to 3bb in 6-max and 9-max.

Up to how many big blinds should 87o shove from the Small Blind?

From the Small Blind, 87o is a Nash shove up to 15bb 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

87sAll 169 hands
5bb chart8bb chart10bb chart12bb chart15bb chart20bb chart

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