K9o Push/Fold: When to Shove King-Nine offsuit

K9o is a Nash shove from the Button up to 9bb in 6-max and 9-max, and from the Small Blind up to 20bb.

In 6-max it shoves from Under the Gun up to 4bb, the Cutoff up to 6bb, the Button up to 9bb, and the Small Blind up to 20bb.

In 9-max it shoves from Under the Gun up to 3bb, the Middle Position up to 3bb, the Cutoff up to 6bb, the Button up to 9bb, and the Small Blind up to 20bb.

Ranks #76 of 169 hands by how often it shoves · shove in 80 of 225 solved spots · 12 combos

Verdict by seat and stack

K9o — 6-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤4bb14%FoldFoldFoldFoldFold
CO≤6bbShove6%FoldFoldFoldFold
BTN≤9bbShoveShove41%FoldFoldFold
SB≤20bbShoveShoveShoveShoveShoveShove
K9o — 9-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤3bb8%FoldFoldFoldFoldFold
MP≤3bb10%FoldFoldFoldFoldFold
CO≤6bbShove6%FoldFoldFoldFold
BTN≤9bbShoveShove41%FoldFoldFold
SB≤20bbShoveShoveShoveShoveShoveShove

How K9o compares

Suitedness is worth 44 extra shove spots here: K9s is a shove in 124 of the 225 solved spots, K9o in 80. From the 6-max Button K9s shoves up to 19bb and K9o up to 9bb.

Hand shape: the king blocks some of the kings and big aces callers continue with.

K9o is an edge hand in 7 published spots, where the Nash solution mixes it: 6-max BTN 10bb (41%), 9-max BTN 10bb (41%), 6-max UTG 5bb (14%), 9-max MP 5bb (10%), 9-max UTG 5bb (8%), and 6-max CO 8bb (6%), plus 1 more. In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.

K9o push/fold FAQ

Is K9o a shove at 10bb?

At 10bb in 6-max, K9o is a shove from the Small Blind, mixed from the Button (41%), and a fold from Under the Gun and the Cutoff. At 10bb in 9-max, K9o is a shove from the Small Blind, mixed from the Button (41%), and a fold from Under the Gun, the Middle Position, and the Cutoff.

Up to how many big blinds should K9o shove from the Button?

From the Button, K9o is a Nash shove up to 9bb in 6-max and 9-max.

Up to how many big blinds should K9o shove from the Small Blind?

From the Small Blind, K9o is a Nash shove up to 20bb 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

K9sAll 169 hands
5bb chart8bb chart10bb chart12bb chart15bb chart20bb chart

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