Q4o Push/Fold: When to Shove Queen-Four offsuit

Q4o is a Nash shove from the Button up to 3bb in 6-max and 9-max, and from the Small Blind up to 8bb.

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 8bb.

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 8bb.

Ranks #126 of 169 hands by how often it shoves · shove in 32 of 225 solved spots · 12 combos

Verdict by seat and stack

Q4o — 6-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤2bbFoldFoldFoldFoldFoldFold
CO≤2bbFoldFoldFoldFoldFoldFold
BTN≤3bbFoldFoldFoldFoldFoldFold
SB≤8bbShoveShoveFoldFoldFoldFold
Q4o — 9-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤2bbFoldFoldFoldFoldFoldFold
MP≤2bbFoldFoldFoldFoldFoldFold
CO≤2bbFoldFoldFoldFoldFoldFold
BTN≤3bbFoldFoldFoldFoldFoldFold
SB≤8bbShoveShoveFoldFoldFoldFold

How Q4o compares

Suitedness is worth 28 extra shove spots here: Q4s is a shove in 60 of the 225 solved spots, Q4o in 32. From the 6-max Button Q4s shoves up to 6bb and Q4o up to 3bb.

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

Q4o push/fold FAQ

Is Q4o a shove at 10bb?

At 10bb in 6-max, Q4o is a fold from Under the Gun, the Cutoff, the Button, and the Small Blind. At 10bb in 9-max, Q4o 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 Q4o shove from the Button?

From the Button, Q4o is a Nash shove up to 3bb in 6-max and 9-max.

Up to how many big blinds should Q4o shove from the Small Blind?

From the Small Blind, Q4o is a Nash shove up to 8bb 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

Q4sAll 169 hands
5bb chart8bb chart10bb chart12bb chart15bb chart20bb chart

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