Push or fold with K7s heads-up

As the small blind in heads-up play, K7s shoves at every stack up to 20bb, while as the big blind it calls at every stack up to 15bb and folds deeper. The game is chips only, blinds 0.5 and 1.

  • 20bbShoves every time up to
  • 15bbCalls every time up to
  • 44Rank of 169
  • 4Combos

How deep can the small blind shove K7s?

K7s shoves at every stack from 1 to 20 big blinds as the small blind. Its shove EV stays above the -0.5000 big blinds it earns by folding at each of them.

K7s as the small blind, by stack
StackShove frequencyShove EVFold EVEquity when called
1bb100%+0.151-0.50057.5%
2bb100%+0.302-0.50057.5%
3bb100%+0.442-0.50056.6%
4bb100%+0.513-0.50054.2%
5bb100%+0.512-0.50052.0%
6bb100%+0.468-0.50050.0%
7bb100%+0.411-0.50048.2%
8bb100%+0.344-0.50046.8%
9bb100%+0.257-0.50045.1%
10bb100%+0.179-0.50043.6%
11bb100%+0.091-0.50042.4%
12bb100%+0.010-0.50041.3%
13bb100%-0.058-0.50040.5%
14bb100%-0.101-0.50040.0%
15bb100%-0.162-0.50039.6%
16bb100%-0.205-0.50038.7%
17bb100%-0.219-0.50038.2%
18bb100%-0.225-0.50038.3%
19bb100%-0.247-0.50037.9%
20bb100%-0.323-0.50037.0%

When should the big blind call with K7s?

K7s calls every time as the big blind up to 15bb. At 15bb its call is worth -0.9050 big blinds against -1.0000 for folding. At 15bb a call breaks even at 46.7% equity, because the big blind has already posted a full blind that folding gives up. Past 15bb the chart folds it.

K7s as the big blind, by stack
StackCall frequencyCall EVFold EVEquity vs shoves
1bb100%+0.151-1.00057.5%
2bb100%+0.250-1.00056.3%
3bb100%+0.285-1.00054.8%
4bb100%+0.330-1.00054.1%
5bb100%+0.374-1.00053.7%
6bb100%+0.381-1.00053.2%
7bb100%+0.389-1.00052.8%
8bb100%+0.294-1.00051.8%
9bb100%+0.231-1.00051.3%
10bb100%+0.159-1.00050.8%
11bb100%-0.082-1.00049.6%
12bb100%-0.167-1.00049.3%
13bb100%-0.297-1.00048.9%
14bb100%-0.579-1.00047.9%
15bb100%-0.905-1.00047.0%
16bb0%-1.058-1.00046.7%
17bb0%-1.267-1.00046.3%
18bb0%-1.414-1.00046.1%
19bb0%-1.521-1.00046.0%
20bb0%-1.685-1.00045.8%

What makes K7s different from similar hands?

K7s is 4 combos out of the 1,326 two-card hands and ranks number 44 of the 169 starting-hand classes by equity against a random hand. From the small blind, K7s shoves at every stack from 1 to 20bb, while K7o shoves every time only up to 15.5bb. From the big blind, K7s calls cleanly 3bb deeper than K7o (15bb against 12bb). Suited hands win more often because of flushes, which is why the suited version is the more playable of the pair.

Where can I check other hands like K7s?

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

How were the numbers for K7s 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 K7s a shove at 10bb heads-up?
Yes. At 10bb the small blind shoves K7s: shoving is worth +0.179 big blinds and folding -0.500.
Should the big blind call a shove with K7s at 15bb?
Yes. At 15bb calling with K7s is worth -0.905 big blinds against -1.000 for folding, so the chart calls.
Does K7s ever fold heads-up at 20bb or less?
Not from the small blind: K7s shoves at every stack from 1 to 20bb. As the big blind it calls cleanly up to 15bb and folds or mixes deeper.