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

A7o is a Nash shove from the Button up to 14bb 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 14bb, 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 9bb, the Button up to 14bb, and the Small Blind at every stack up to 25bb.

Ranks #52 of 169 hands by how often it shoves · shove in 109 of 225 solved spots · 12 combos

Verdict by seat and stack

A7o — 6-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤5bbShove9%FoldFoldFoldFold
CO≤9bbShoveShove17%7%FoldFold
BTN≤14bbShoveShoveShoveShove17%Fold
SB25bb+ShoveShoveShoveShoveShoveShove
A7o — 9-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤4bb38%6%FoldFoldFoldFold
MP≤4bb80%8%FoldFoldFoldFold
CO≤9bbShoveShove17%7%FoldFold
BTN≤14bbShoveShoveShoveShove17%Fold
SB25bb+ShoveShoveShoveShoveShoveShove

How A7o compares

Suitedness is worth 27 extra shove spots here: A7s is a shove in 136 of the 225 solved spots, A7o in 109. From the 6-max Button A7s shoves up to 21bb and A7o up to 14bb.

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 11 published spots, where the Nash solution mixes it: 9-max UTG 5bb (38%), 9-max MP 5bb (80%), 6-max CO 10bb (17%), 6-max BTN 15bb (17%), 9-max CO 10bb (17%), and 9-max BTN 15bb (17%), plus 5 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 (17%), 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 (17%), 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 14bb 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 total big blinds before posting 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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