A6o Push/Fold: When to Shove Ace-Six offsuit

A6o is a Nash shove from the Button up to 13bb in 6-max and 9-max, and from the Small Blind at every stack up to 25bb.

In 6-max it shoves from Under the Gun up to 5bb, the Cutoff up to 8bb, the Button up to 13bb, and the Small Blind at every stack up to 25bb.

In 9-max it shoves from Under the Gun up to 4bb, the Middle Position up to 4bb, the Cutoff up to 8bb, the Button up to 13bb, and the Small Blind at every stack up to 25bb.

Ranks #60 of 169 hands by how often it shoves · shove in 105 of 225 solved spots · 12 combos

Verdict by seat and stack

A6o — 6-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤5bbShove6%FoldFoldFoldFold
CO≤8bbShoveShove9%FoldFoldFold
BTN≤13bbShoveShoveShoveShove7%Fold
SB25bb+ShoveShoveShoveShoveShoveShove
A6o — 9-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤4bb22%FoldFoldFoldFoldFold
MP≤4bb43%FoldFoldFoldFoldFold
CO≤8bbShoveShove9%FoldFoldFold
BTN≤13bbShoveShoveShoveShove7%Fold
SB25bb+ShoveShoveShoveShoveShoveShove

How A6o compares

Suitedness is worth 26 extra shove spots here: A6s is a shove in 131 of the 225 solved spots, A6o in 105. From the 6-max Button A6s shoves up to 20bb and A6o up to 13bb.

Hand shape: the ace is a blocker — it removes some of the aces and big pairs a caller needs and the weak offsuit kicker is often dominated when called.

A6o is an edge hand in 7 published spots, where the Nash solution mixes it: 9-max MP 5bb (43%), 9-max UTG 5bb (22%), 6-max CO 10bb (9%), 9-max CO 10bb (9%), 6-max BTN 15bb (7%), and 9-max BTN 15bb (7%), plus 1 more. In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.

A6o push/fold FAQ

Is A6o a shove at 10bb?

At 10bb in 6-max, A6o is a shove from the Button and the Small Blind, mixed from the Cutoff (9%), and a fold from Under the Gun. At 10bb in 9-max, A6o is a shove from the Button and the Small Blind, mixed from the Cutoff (9%), and a fold from Under the Gun and the Middle Position.

Up to how many big blinds should A6o shove from the Button?

From the Button, A6o is a Nash shove up to 13bb in 6-max and 9-max.

Up to how many big blinds should A6o shove from the Small Blind?

From the Small Blind, A6o is a Nash shove at every stack up to 25bb 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

A6sAll 169 hands
5bb chart8bb chart10bb chart12bb chart15bb chart20bb chart

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