Q3o Push/Fold: When to Shove Queen-Three offsuit

Q3o is a Nash shove from the Button up to 3bb in 6-max and 9-max, and from the Small Blind up to 7bb.

In 6-max it shoves from Under the Gun up to 2bb, the Cutoff up to 2bb, the Button up to 3bb, and the Small Blind up to 7bb.

In 9-max it shoves from Under the Gun up to 2bb, the Middle Position up to 2bb, the Cutoff up to 2bb, the Button up to 3bb, and the Small Blind up to 7bb.

Ranks #127 of 169 hands by how often it shoves · shove in 30 of 225 solved spots · 12 combos

Verdict by seat and stack

Q3o — 6-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤2bbFoldFoldFoldFoldFoldFold
CO≤2bbFoldFoldFoldFoldFoldFold
BTN≤3bbFoldFoldFoldFoldFoldFold
SB≤7bbShove16%FoldFoldFoldFold
Q3o — 9-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤2bbFoldFoldFoldFoldFoldFold
MP≤2bbFoldFoldFoldFoldFoldFold
CO≤2bbFoldFoldFoldFoldFoldFold
BTN≤3bbFoldFoldFoldFoldFoldFold
SB≤7bbShove16%FoldFoldFoldFold

How Q3o compares

Suitedness is worth 22 extra shove spots here: Q3s is a shove in 52 of the 225 solved spots, Q3o in 30. From the 6-max Button Q3s shoves up to 6bb and Q3o up to 3bb.

Hand shape: the weak offsuit kicker is often dominated when called.

Q3o is an edge hand in 2 published spots, where the Nash solution mixes it: 6-max SB 8bb (16%) and 9-max SB 8bb (16%). In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.

Q3o push/fold FAQ

Is Q3o a shove at 10bb?

At 10bb in 6-max, Q3o is a fold from Under the Gun, the Cutoff, the Button, and the Small Blind. At 10bb in 9-max, Q3o is a fold from Under the Gun, the Middle Position, the Cutoff, the Button, and the Small Blind.

Up to how many big blinds should Q3o shove from the Button?

From the Button, Q3o is a Nash shove up to 3bb in 6-max and 9-max.

Up to how many big blinds should Q3o shove from the Small Blind?

From the Small Blind, Q3o is a Nash shove up to 7bb 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

Q3sAll 169 hands
5bb chart8bb chart10bb chart12bb chart15bb chart20bb chart

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