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 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 #118 of 169 hands by how often it shoves · shove in 30 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≤7bbShove14%FoldFoldFoldFold
Q4o — 9-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤2bbFoldFoldFoldFoldFoldFold
MP≤2bbFoldFoldFoldFoldFoldFold
CO≤2bbFoldFoldFoldFoldFoldFold
BTN≤3bbFoldFoldFoldFoldFoldFold
SB≤7bbShove14%FoldFoldFoldFold

How Q4o compares

Suitedness is worth 16 extra shove spots here: Q4s is a shove in 46 of the 225 solved spots, Q4o in 30. From the 6-max Button both shove up to 3bb.

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

Q4o is an edge hand in 2 published spots, where the Nash solution mixes it: 6-max SB 8bb (14%) and 9-max SB 8bb (14%). In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.

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 7bb 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

Q4sAll 169 hands
5bb chart8bb chart10bb chart12bb chart15bb chart20bb chart

Drill Q4o and every other hand against the same Nash ranges — free, no signup.

Open the free trainer →