QJo Push/Fold: When to Shove Queen-Jack offsuit
QJo is a Nash shove from the Button up to 15bb 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 5bb, the Cutoff up to 9bb, the Button up to 15bb, 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 4bb, the Cutoff up to 9bb, the Button up to 15bb, and the Small Blind at every stack up to 25bb.
Ranks #50 of 169 hands by how often it shoves · shove in 110 of 225 solved spots · 12 combos
Verdict by seat and stack
How QJo compares
Suitedness is worth 45 extra shove spots here: QJs is a shove in 155 of the 225 solved spots, QJo in 110. From the 6-max Button QJs shoves at every stack up to 25bb and QJo up to 15bb.
Hand shape: as a connector it can make straights in both directions.
QJo is an edge hand in 8 published spots, where the Nash solution mixes it: 6-max CO 12bb (62%), 6-max BTN 20bb (62%), 9-max CO 12bb (62%), 9-max BTN 20bb (62%), 9-max MP 5bb (14%), and 6-max CO 10bb (87%), plus 2 more. In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.
QJo push/fold FAQ
Is QJo a shove at 10bb?
At 10bb in 6-max, QJo is a shove from the Button and the Small Blind, mixed from the Cutoff (87%), and a fold from Under the Gun. At 10bb in 9-max, QJo is a shove from the Button and the Small Blind, mixed from the Cutoff (87%), and a fold from Under the Gun and the Middle Position.
Up to how many big blinds should QJo shove from the Button?
From the Button, QJo is a Nash shove up to 15bb in 6-max and 9-max.
Up to how many big blinds should QJo shove from the Small Blind?
From the Small Blind, QJo 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.
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