Push or fold with K7o heads-up

As the small blind in heads-up play, K7o shoves at every stack up to 15.5bb, mixes at 16bb alone and folds deeper, while as the big blind it calls at every stack up to 12bb, mixes at 12.5bb alone and folds deeper. The game is chips only, blinds 0.5 and 1.

  • 15.5bbShoves every time up to
  • 12bbCalls every time up to
  • 58Rank of 169
  • 12Combos

How deep can the small blind shove K7o?

K7o shoves every time as the small blind up to 15.5bb. At 15.5bb its shove is worth -0.4870 big blinds against -0.5000 for folding. At 16bb it mixes, so either choice is close to break-even at that stack. At that stack the shove is worth -0.5000 big blinds, level with the -0.5000 for folding. Past 16bb the chart folds it.

K7o as the small blind, by stack
StackShove frequencyShove EVFold EVEquity when called
1bb100%+0.104-0.50055.2%
2bb100%+0.207-0.50055.2%
3bb100%+0.308-0.50054.1%
4bb100%+0.362-0.50051.6%
5bb100%+0.347-0.50049.3%
6bb100%+0.288-0.50047.2%
7bb100%+0.217-0.50045.3%
8bb100%+0.134-0.50043.8%
9bb100%+0.035-0.50041.9%
10bb100%-0.053-0.50040.4%
11bb100%-0.156-0.50039.1%
12bb100%-0.249-0.50038.0%
13bb100%-0.328-0.50037.1%
14bb100%-0.380-0.50036.5%
15bb100%-0.455-0.50036.1%
16bb97%-0.500-0.50035.2%
17bb0%-0.513-0.50034.7%
18bb0%-0.524-0.50034.8%
19bb0%-0.547-0.50034.4%
20bb0%-0.630-0.50033.4%

When should the big blind call with K7o?

K7o calls every time as the big blind up to 12bb. At 12bb its call is worth -0.8625 big blinds against -1.0000 for folding. At 12bb a call breaks even at 45.8% equity, because the big blind has already posted a full blind that folding gives up. At 12.5bb it mixes, so either choice is close to break-even at that stack. At that stack the call is worth -1.0000 big blinds, level with the -1.0000 for folding. Past 12.5bb the chart folds it.

K7o as the big blind, by stack
StackCall frequencyCall EVFold EVEquity vs shoves
1bb100%+0.104-1.00055.2%
2bb100%+0.153-1.00053.8%
3bb100%+0.133-1.00052.2%
4bb100%+0.124-1.00051.5%
5bb100%+0.113-1.00051.1%
6bb100%+0.062-1.00050.5%
7bb100%+0.013-1.00050.1%
8bb100%-0.143-1.00049.1%
9bb100%-0.268-1.00048.5%
10bb100%-0.403-1.00048.0%
11bb100%-0.715-1.00046.7%
12bb100%-0.862-1.00046.4%
13bb0%-1.057-1.00045.9%
14bb0%-1.413-1.00045.0%
15bb0%-1.815-1.00044.0%
16bb0%-2.035-1.00043.6%
17bb0%-2.317-1.00043.2%
18bb0%-2.530-1.00043.0%
19bb0%-2.698-1.00042.9%
20bb0%-2.929-1.00042.7%

What makes K7o different from similar hands?

K7o is 12 combos out of the 1,326 two-card hands and ranks number 58 of the 169 starting-hand classes by equity against a random hand. From the small blind, K7o shoves every time only up to 15.5bb, while K7s shoves at every stack from 1 to 20bb. From the big blind, K7o calls cleanly 3bb shallower than K7s (12bb against 15bb). The offsuit version has three times as many combos but gives up the flush equity of its suited twin.

Where can I check other hands like K7o?

The stack pages show the full shove and call charts at each depth, and the hands closest to K7o in strength, along with K7s, have pages of their own. The combos page counts the specific hands that make up K7o and how card removal changes them.

How were the numbers for K7o computed?

Both players hold one of the 169 starting-hand classes, weighted by the pairs of specific hands that share no card, so blockers count. Blinds are 0.5 and 1 with no ante and equal stacks. Each pair of classes is scored with its exact equity over every five-card board, and the solver repeats best responses against the other side's running average until the hands on the edge are made exactly indifferent.

Source: GeorgeLiPoker's own heads-up solver, run on its exact preflop equity table.

Questions

Is K7o a shove at 10bb heads-up?
Yes. At 10bb the small blind shoves K7o: shoving is worth -0.053 big blinds and folding -0.500.
Should the big blind call a shove with K7o at 15bb?
No. At 15bb calling with K7o is worth -1.815 big blinds against -1.000 for folding, so the chart folds.
Why does K7o change from a shove to a fold as stacks grow?
Deeper stacks put more chips at risk for the same blinds, and the big blind can afford to call a smaller share of hands. K7o shoves every time only up to 15.5bb.