K4s Push/Fold: When to Shove King-Four suited
K4s is a Nash shove from the Button up to 9bb in 6-max and 9-max, and from the Small Blind up to 23bb.
In 6-max it shoves from Under the Gun up to 3bb, the Cutoff up to 5bb, the Button up to 9bb, and the Small Blind up to 23bb.
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 9bb, and the Small Blind up to 23bb.
Ranks #75 of 169 hands by how often it shoves · shove in 83 of 225 solved spots · 4 combos
Verdict by seat and stack
How K4s compares
Suitedness is worth 38 extra shove spots here: K4s is a shove in 83 of the 225 solved spots, K4o in 45. From the 6-max Button K4s shoves up to 9bb and K4o 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.
K4s is an edge hand in 4 published spots, where the Nash solution mixes it: 6-max BTN 12bb (24%), 9-max BTN 12bb (24%), 6-max BTN 10bb (93%), and 9-max BTN 10bb (93%). In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.
K4s push/fold FAQ
Is K4s a shove at 10bb?
At 10bb in 6-max, K4s is a shove from the Small Blind, mixed from the Button (93%), and a fold from Under the Gun and the Cutoff. At 10bb in 9-max, K4s is a shove from the Small Blind, mixed from the Button (93%), and a fold from Under the Gun, the Middle Position, and the Cutoff.
Up to how many big blinds should K4s shove from the Button?
From the Button, K4s is a Nash shove up to 9bb in 6-max and 9-max.
Up to how many big blinds should K4s shove from the Small Blind?
From the Small Blind, K4s is a Nash shove up to 23bb 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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