A7o Push/Fold: When to Shove Ace-Seven offsuit

A7o is a Nash shove from the Button up to 15bb 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 9bb, the Button up to 15bb, 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 5bb, the Cutoff up to 9bb, the Button up to 15bb, and the Small Blind at every stack up to 25bb.

Ranks #56 of 169 hands by how often it shoves · shove in 112 of 225 solved spots · 12 combos

Verdict by seat and stack

A7o — 6-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤5bbShove10%FoldFoldFoldFold
CO≤9bbShoveShove91%9%FoldFold
BTN≤15bbShoveShoveShoveShoveShoveFold
SB25bb+ShoveShoveShoveShoveShoveShove
A7o — 9-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤4bb43%6%FoldFoldFoldFold
MP≤5bbShove8%FoldFoldFoldFold
CO≤9bbShoveShove91%9%FoldFold
BTN≤15bbShoveShoveShoveShoveShoveFold
SB25bb+ShoveShoveShoveShoveShoveShove

How A7o compares

Suitedness is worth 31 extra shove spots here: A7s is a shove in 143 of the 225 solved spots, A7o in 112. From the 6-max Button A7s shoves up to 23bb and A7o up to 15bb.

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.

A7o is an edge hand in 8 published spots, where the Nash solution mixes it: 9-max UTG 5bb (43%), 6-max UTG 8bb (10%), 6-max CO 10bb (91%), 6-max CO 12bb (9%), 9-max CO 10bb (91%), and 9-max CO 12bb (9%), plus 2 more. In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.

A7o push/fold FAQ

Is A7o a shove at 10bb?

At 10bb in 6-max, A7o is a shove from the Button and the Small Blind, mixed from the Cutoff (91%), and a fold from Under the Gun. At 10bb in 9-max, A7o is a shove from the Button and the Small Blind, mixed from the Cutoff (91%), and a fold from Under the Gun and the Middle Position.

Up to how many big blinds should A7o shove from the Button?

From the Button, A7o is a Nash shove up to 15bb in 6-max and 9-max.

Up to how many big blinds should A7o shove from the Small Blind?

From the Small Blind, A7o 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

A7sAll 169 hands
5bb chart8bb chart10bb chart12bb chart15bb chart20bb chart

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