Q4s Push/Fold: When to Shove Queen-Four suited

Q4s is a Nash shove from the Button up to 6bb in 6-max and 9-max, and from the Small Blind up to 17bb.

In 6-max it shoves from Under the Gun up to 2bb, the Cutoff up to 4bb, the Button up to 6bb, and the Small Blind up to 17bb.

In 9-max it shoves from Under the Gun up to 2bb, the Middle Position up to 2bb, the Cutoff up to 4bb, the Button up to 6bb, and the Small Blind up to 17bb.

Ranks #86 of 169 hands by how often it shoves · shove in 60 of 225 solved spots · 4 combos

Verdict by seat and stack

Q4s — 6-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤2bbFoldFoldFoldFoldFoldFold
CO≤4bbFoldFoldFoldFoldFoldFold
BTN≤6bbShoveFoldFoldFoldFoldFold
SB≤17bbShoveShoveShoveShoveShove61%
Q4s — 9-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤2bbFoldFoldFoldFoldFoldFold
MP≤2bbFoldFoldFoldFoldFoldFold
CO≤4bbFoldFoldFoldFoldFoldFold
BTN≤6bbShoveFoldFoldFoldFoldFold
SB≤17bbShoveShoveShoveShoveShove61%

How Q4s 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: being suited adds flush equity when it is called.

Q4s is an edge hand in 2 published spots, where the Nash solution mixes it: 6-max SB 20bb (61%) and 9-max SB 20bb (61%). In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.

Q4s push/fold FAQ

Is Q4s a shove at 10bb?

At 10bb in 6-max, Q4s is a shove from the Small Blind and a fold from Under the Gun, the Cutoff, and the Button. At 10bb in 9-max, Q4s is a shove from the Small Blind and a fold from Under the Gun, the Middle Position, the Cutoff, and the Button.

Up to how many big blinds should Q4s shove from the Button?

From the Button, Q4s is a Nash shove up to 6bb in 6-max and 9-max.

Up to how many big blinds should Q4s shove from the Small Blind?

From the Small Blind, Q4s is a Nash shove up to 17bb 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

Q4oAll 169 hands
5bb chart8bb chart10bb chart12bb chart15bb chart20bb chart

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