K7o Push/Fold: When to Shove King-Seven offsuit

K7o is a Nash shove from the Button up to 7bb in 6-max and 9-max, and from the Small Blind up to 15bb.

In 6-max it shoves from Under the Gun up to 3bb, the Cutoff up to 4bb, the Button up to 7bb, and the Small Blind up to 15bb.

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 7bb, and the Small Blind up to 15bb.

Ranks #89 of 169 hands by how often it shoves · shove in 61 of 225 solved spots · 12 combos

Verdict by seat and stack

K7o — 6-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤3bbFoldFoldFoldFoldFoldFold
CO≤4bb20%FoldFoldFoldFoldFold
BTN≤7bbShoveFoldFoldFoldFoldFold
SB≤15bbShoveShoveShoveShoveShoveFold
K7o — 9-Max verdicts (cell links open the spot chart)
SeatMax5bb8bb10bb12bb15bb20bb
UTG≤3bbFoldFoldFoldFoldFoldFold
MP≤3bbFoldFoldFoldFoldFoldFold
CO≤4bb20%FoldFoldFoldFoldFold
BTN≤7bbShoveFoldFoldFoldFoldFold
SB≤15bbShoveShoveShoveShoveShoveFold

How K7o compares

Suitedness is worth 39 extra shove spots here: K7s is a shove in 100 of the 225 solved spots, K7o in 61. From the 6-max Button K7s shoves up to 13bb and K7o up to 7bb.

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.

K7o is an edge hand in 2 published spots, where the Nash solution mixes it: 6-max CO 5bb (20%) and 9-max CO 5bb (20%). In a true Nash mix both options earn about the same against the equilibrium callers, so a consistent default costs little.

K7o push/fold FAQ

Is K7o a shove at 10bb?

At 10bb in 6-max, K7o is a shove from the Small Blind and a fold from Under the Gun, the Cutoff, and the Button. At 10bb in 9-max, K7o 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 K7o shove from the Button?

From the Button, K7o is a Nash shove up to 7bb in 6-max and 9-max.

Up to how many big blinds should K7o shove from the Small Blind?

From the Small Blind, K7o is a Nash shove up to 15bb 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.

Related

K7sAll 169 hands
5bb chart8bb chart10bb chart12bb chart15bb chart20bb chart

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