ATo Push/Fold: When to Shove Ace-Ten offsuit

ATo is a Nash shove from the Button up to 24bb 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 9bb, the Cutoff up to 16bb, the Button up to 24bb, and the Small Blind at every stack up to 25bb.

In 9-max it shoves from Under the Gun up to 6bb, the Middle Position up to 8bb, the Cutoff up to 16bb, the Button up to 24bb, and the Small Blind at every stack up to 25bb.

Ranks #25 of 169 hands by how often it shoves · shove in 153 of 225 solved spots · 12 combos

Verdict by seat and stack

ATo — 6-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤9bbShoveShove85%31%15%9%
CO≤16bbShoveShoveShoveShoveShove23%
BTN≤24bbShoveShoveShoveShoveShoveShove
SB25bb+ShoveShoveShoveShoveShoveShove
ATo — 9-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤6bbShove46%21%14%10%7%
MP≤8bbShoveShove36%21%12%8%
CO≤16bbShoveShoveShoveShoveShove23%
BTN≤24bbShoveShoveShoveShoveShoveShove
SB25bb+ShoveShoveShoveShoveShoveShove

How ATo compares

Suitedness is worth 35 extra shove spots here: ATs is a shove in 188 of the 225 solved spots, ATo in 153. From the 6-max Button ATs shoves at every stack up to 25bb and ATo up to 24bb.

Hand shape: the ace is a blocker — it removes some of the aces and big pairs a caller needs.

ATo is an edge hand in 15 published spots, where the Nash solution mixes it: 9-max UTG 8bb (46%), 9-max MP 10bb (36%), 6-max UTG 12bb (31%), 6-max CO 20bb (23%), 9-max CO 20bb (23%), and 9-max UTG 10bb (21%), plus 9 more. In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.

ATo push/fold FAQ

Is ATo a shove at 10bb?

At 10bb in 6-max, ATo is a shove from the Cutoff, the Button, and the Small Blind and mixed from Under the Gun (85%). At 10bb in 9-max, ATo is a shove from the Cutoff, the Button, and the Small Blind and mixed from Under the Gun (21%) and the Middle Position (36%).

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

From the Button, ATo is a Nash shove up to 24bb in 6-max and 9-max.

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

From the Small Blind, ATo 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

ATsAll 169 hands
5bb chart8bb chart10bb chart12bb chart15bb chart20bb chart

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