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QTo Push/Fold: When to Shove Queen-Ten offsuit

QTo 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 4bb, 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 3bb, the Middle Position up to 3bb, the Cutoff up to 8bb, the Button up to 13bb, and the Small Blind at every stack up to 25bb.

Ranks #51 of 169 hands by how often it shoves · shove in 102 of 225 solved spots · 12 combos

Verdict by seat and stack

QTo — 6-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤4bb10%FoldFoldFoldFoldFold
CO≤8bbShoveShove80%40%49%Fold
BTN≤13bbShoveShoveShoveShove91%34%
SB25bb+ShoveShoveShoveShoveShoveShove
QTo — 9-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤3bb6%FoldFoldFoldFoldFold
MP≤3bb7%FoldFoldFoldFoldFold
CO≤8bbShoveShove80%40%49%Fold
BTN≤13bbShoveShoveShoveShove91%34%
SB25bb+ShoveShoveShoveShoveShoveShove

How QTo compares

Suitedness is worth 37 extra shove spots here: QTs is a shove in 139 of the 225 solved spots, QTo in 102. From the 6-max Button QTs shoves up to 22bb and QTo up to 13bb.

Hand shape: two high cards with no flush or straight bonus — its value is mostly fold equity.

QTo is an edge hand in 13 published spots, where the Nash solution mixes it: 6-max CO 15bb (49%), 9-max CO 15bb (49%), 6-max CO 12bb (40%), 9-max CO 12bb (40%), 6-max BTN 20bb (34%), and 9-max BTN 20bb (34%), plus 7 more. In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.

QTo push/fold FAQ

Is QTo a shove at 10bb?

At 10bb in 6-max, QTo is a shove from the Button and the Small Blind, mixed from the Cutoff (80%), and a fold from Under the Gun. At 10bb in 9-max, QTo is a shove from the Button and the Small Blind, mixed from the Cutoff (80%), and a fold from Under the Gun and the Middle Position.

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

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

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

From the Small Blind, QTo 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

QTsAll 169 hands
5bb chart8bb chart10bb chart12bb chart15bb chart20bb chart

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