K3o Push/Fold: When to Shove King-Three offsuit

K3o is a Nash shove from the Button up to 3bb 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 3bb, 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 3bb, and the Small Blind up to 11bb.

Ranks #100 of 169 hands by how often it shoves · shove in 40 of 225 solved spots · 12 combos

Verdict by seat and stack

K3o — 6-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤2bbFoldFoldFoldFoldFoldFold
CO≤3bbFoldFoldFoldFoldFoldFold
BTN≤3bbFoldFoldFoldFoldFoldFold
SB≤11bbShoveShoveShoveFoldFoldFold
K3o — 9-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤2bbFoldFoldFoldFoldFoldFold
MP≤2bbFoldFoldFoldFoldFoldFold
CO≤3bbFoldFoldFoldFoldFoldFold
BTN≤3bbFoldFoldFoldFoldFoldFold
SB≤11bbShoveShoveShoveFoldFoldFold

How K3o 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 the weak offsuit kicker is often dominated when called.

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 3bb 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 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

K3sAll 169 hands
5bb chart8bb chart10bb chart12bb chart15bb chart20bb chart

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