K3s Push/Fold: When to Shove King-Three suited
K3s is a Nash shove from the Button up to 8bb in 6-max and 9-max, and from the Small Blind up to 21bb.
In 6-max it shoves from Under the Gun up to 3bb, the Cutoff up to 5bb, the Button up to 8bb, and the Small Blind up to 21bb.
In 9-max it shoves from Under the Gun up to 3bb, the Middle Position up to 3bb, the Cutoff up to 5bb, the Button up to 8bb, and the Small Blind up to 21bb.
Ranks #77 of 169 hands by how often it shoves · shove in 77 of 225 solved spots · 4 combos
Verdict by seat and stack
How K3s compares
Suitedness is worth 33 extra shove spots here: K3s is a shove in 77 of the 225 solved spots, K3o in 44. From the 6-max Button K3s shoves up to 8bb and K3o up to 5bb.
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 2 published spots, where the Nash solution mixes it: 6-max BTN 10bb (17%) and 9-max BTN 10bb (17%). 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, mixed from the Button (17%), and a fold from Under the Gun and the Cutoff. At 10bb in 9-max, K3s is a shove from the Small Blind, mixed from the Button (17%), and a fold from Under the Gun, the Middle Position, and the Cutoff.
Up to how many big blinds should K3s shove from the Button?
From the Button, K3s is a Nash shove up to 8bb 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 21bb 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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