K3o Push/Fold: When to Shove King-Three offsuit
K3o is a Nash shove from the Button up to 5bb in 6-max and 9-max, and from the Small Blind up to 11bb.
In 6-max it shoves from Under the Gun up to 2bb, the Cutoff up to 3bb, the Button up to 5bb, and the Small Blind up to 11bb.
In 9-max it shoves from Under the Gun up to 2bb, the Middle Position up to 2bb, the Cutoff up to 3bb, the Button up to 5bb, and the Small Blind up to 11bb.
Ranks #105 of 169 hands by how often it shoves · shove in 44 of 225 solved spots · 12 combos
Verdict by seat and stack
How K3o 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 the weak offsuit kicker is often dominated when called.
K3o is an edge hand in 2 published spots, where the Nash solution mixes it: 6-max SB 12bb (9%) and 9-max SB 12bb (9%). In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.
K3o push/fold FAQ
Is K3o a shove at 10bb?
At 10bb in 6-max, K3o is a shove from the Small Blind and a fold from Under the Gun, the Cutoff, and the Button. At 10bb in 9-max, K3o 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 K3o shove from the Button?
From the Button, K3o is a Nash shove up to 5bb in 6-max and 9-max.
Up to how many big blinds should K3o shove from the Small Blind?
From the Small Blind, K3o is a Nash shove up to 11bb 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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