K9s Push/Fold: When to Shove King-Nine suited

K9s is a Nash shove from the Button up to 16bb 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 16bb, and the Small Blind at every stack up to 25bb.

In 9-max it shoves from Under the Gun up to 4bb, the Middle Position up to 4bb, the Cutoff up to 9bb, the Button up to 16bb, and the Small Blind at every stack up to 25bb.

Ranks #33 of 169 hands by how often it shoves · shove in 113 of 225 solved spots · 4 combos

Verdict by seat and stack

K9s — 6-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤5bbShove27%FoldFoldFoldFold
CO≤9bbShoveShove93%81%71%Fold
BTN≤16bbShoveShoveShoveShoveShove87%
SB25bb+ShoveShoveShoveShoveShoveShove
K9s — 9-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤4bb16%FoldFoldFoldFoldFold
MP≤4bb27%FoldFoldFoldFoldFold
CO≤9bbShoveShove93%81%71%Fold
BTN≤16bbShoveShoveShoveShoveShove87%
SB25bb+ShoveShoveShoveShoveShoveShove

How K9s compares

Suitedness is worth 40 extra shove spots here: K9s is a shove in 113 of the 225 solved spots, K9o in 73. From the 6-max Button K9s shoves up to 16bb and K9o up to 8bb.

Hand shape: the king blocks some of the kings and big aces callers continue with and being suited adds flush equity when it is called.

K9s is an edge hand in 11 published spots, where the Nash solution mixes it: 6-max CO 15bb (71%), 9-max CO 15bb (71%), 6-max UTG 8bb (27%), 9-max MP 5bb (27%), 6-max CO 12bb (81%), and 9-max CO 12bb (81%), plus 5 more. In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.

K9s push/fold FAQ

Is K9s a shove at 10bb?

At 10bb in 6-max, K9s is a shove from the Button and the Small Blind, mixed from the Cutoff (93%), and a fold from Under the Gun. At 10bb in 9-max, K9s is a shove from the Button and the Small Blind, mixed from the Cutoff (93%), and a fold from Under the Gun and the Middle Position.

Up to how many big blinds should K9s shove from the Button?

From the Button, K9s is a Nash shove up to 16bb in 6-max and 9-max.

Up to how many big blinds should K9s shove from the Small Blind?

From the Small Blind, K9s 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 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

K9oAll 169 hands
5bb chart8bb chart10bb chart12bb chart15bb chart20bb chart

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