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Q9o Push/Fold: When to Shove Queen-Nine offsuit

Q9o is a Nash shove from the Button up to 6bb in 6-max and 9-max, and from the Small Blind up to 15bb.

In 6-max it shoves from Under the Gun up to 3bb, the Cutoff up to 4bb, the Button up to 6bb, and the Small Blind up to 15bb.

In 9-max it shoves from Under the Gun up to 3bb, the Middle Position up to 3bb, the Cutoff up to 4bb, the Button up to 6bb, and the Small Blind up to 15bb.

Ranks #85 of 169 hands by how often it shoves · shove in 61 of 225 solved spots · 12 combos

Verdict by seat and stack

Q9o — 6-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤3bbFoldFoldFoldFoldFoldFold
CO≤4bb11%FoldFoldFoldFoldFold
BTN≤6bbShove28%19%FoldFoldFold
SB≤15bbShoveShoveShoveShoveShove41%
Q9o — 9-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤3bbFoldFoldFoldFoldFoldFold
MP≤3bbFoldFoldFoldFoldFoldFold
CO≤4bb11%FoldFoldFoldFoldFold
BTN≤6bbShove28%19%FoldFoldFold
SB≤15bbShoveShoveShoveShoveShove41%

How Q9o compares

Suitedness is worth 49 extra shove spots here: Q9s is a shove in 110 of the 225 solved spots, Q9o in 61. From the 6-max Button Q9s shoves up to 15bb and Q9o up to 6bb.

Hand shape: two high cards with no flush or straight bonus — its value is mostly fold equity.

Q9o is an edge hand in 8 published spots, where the Nash solution mixes it: 6-max SB 20bb (41%), 9-max SB 20bb (41%), 6-max BTN 8bb (28%), 9-max BTN 8bb (28%), 6-max BTN 10bb (19%), and 9-max BTN 10bb (19%), plus 2 more. In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.

Q9o push/fold FAQ

Is Q9o a shove at 10bb?

At 10bb in 6-max, Q9o is a shove from the Small Blind, mixed from the Button (19%), and a fold from Under the Gun and the Cutoff. At 10bb in 9-max, Q9o is a shove from the Small Blind, mixed from the Button (19%), and a fold from Under the Gun, the Middle Position, and the Cutoff.

Up to how many big blinds should Q9o shove from the Button?

From the Button, Q9o is a Nash shove up to 6bb in 6-max and 9-max.

Up to how many big blinds should Q9o shove from the Small Blind?

From the Small Blind, Q9o is a Nash shove up to 15bb 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

Q9sAll 169 hands
5bb chart8bb chart10bb chart12bb chart15bb chart20bb chart

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