K3s Push/Fold: When to Shove King-Three suited
K3s is a Nash shove from the Button up to 6bb in 6-max and 9-max, and from the Small Blind up to 19bb.
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 19bb.
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 19bb.
Ranks #74 of 169 hands by how often it shoves · shove in 67 of 225 solved spots · 4 combos
Verdict by seat and stack
How K3s compares
Suitedness is worth 27 extra shove spots here: K3s is a shove in 67 of the 225 solved spots, K3o in 40. From the 6-max Button K3s shoves up to 6bb and K3o up to 3bb.
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.
K3s is an edge hand in 4 published spots, where the Nash solution mixes it: 6-max SB 20bb (63%), 9-max SB 20bb (63%), 6-max CO 5bb (6%), and 9-max CO 5bb (6%). In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.
K3s push/fold FAQ
Is K3s a shove at 10bb?
At 10bb in 6-max, K3s is a shove from the Small Blind and a fold from Under the Gun, the Cutoff, and the Button. At 10bb in 9-max, K3s 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 K3s shove from the Button?
From the Button, K3s is a Nash shove up to 6bb in 6-max and 9-max.
Up to how many big blinds should K3s shove from the Small Blind?
From the Small Blind, K3s is a Nash shove up to 19bb 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.
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