Push or fold with 76s heads-up

76s shoves at every stack up to 20bb from the small blind. From the big blind it calls at every stack up to 5bb and folds deeper. Both come from a solved heads-up game with no ante.

  • 20bbShoves every time up to
  • 5bbCalls every time up to
  • 115Rank of 169
  • 4Combos

How deep can the small blind shove 76s?

76s 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.

76s as the small blind, by stack
StackShove frequencyShove EVFold EVEquity when called
1bb100%-0.093-0.50045.4%
2bb100%-0.185-0.50045.4%
3bb100%-0.259-0.50044.0%
4bb100%-0.274-0.50041.0%
5bb100%-0.252-0.50040.1%
6bb100%-0.239-0.50039.8%
7bb100%-0.219-0.50039.7%
8bb100%-0.224-0.50039.8%
9bb100%-0.216-0.50039.5%
10bb100%-0.213-0.50039.3%
11bb100%-0.231-0.50039.1%
12bb100%-0.238-0.50039.1%
13bb100%-0.230-0.50039.2%
14bb100%-0.234-0.50039.1%
15bb100%-0.267-0.50039.1%
16bb100%-0.277-0.50038.6%
17bb100%-0.294-0.50038.2%
18bb100%-0.302-0.50038.1%
19bb100%-0.325-0.50037.7%
20bb100%-0.329-0.50037.7%

When should the big blind call with 76s?

76s calls every time as the big blind up to 5bb. At 5bb its call is worth -0.9028 big blinds against -1.0000 for folding. At 5bb a call breaks even at 40.0% equity, because the big blind has already posted a full blind that folding gives up. Past 5bb the chart folds it.

76s as the big blind, by stack
StackCall frequencyCall EVFold EVEquity vs shoves
1bb100%-0.093-1.00045.4%
2bb100%-0.269-1.00043.3%
3bb100%-0.521-1.00041.3%
4bb100%-0.725-1.00040.9%
5bb100%-0.903-1.00041.0%
6bb0%-1.100-1.00040.8%
7bb0%-1.276-1.00040.9%
8bb0%-1.542-1.00040.4%
9bb0%-1.726-1.00040.4%
10bb0%-1.891-1.00040.5%
11bb0%-2.105-1.00040.4%
12bb0%-2.341-1.00040.2%
13bb0%-2.620-1.00039.9%
14bb0%-2.913-1.00039.6%
15bb0%-3.164-1.00039.5%
16bb0%-3.350-1.00039.5%
17bb0%-3.589-1.00039.4%
18bb0%-3.797-1.00039.5%
19bb0%-4.027-1.00039.4%
20bb0%-4.281-1.00039.3%

What makes 76s different from similar hands?

76s is 4 combos out of the 1,326 two-card hands and ranks number 115 of the 169 starting-hand classes by equity against a random hand. From the small blind, 76s shoves at every stack from 1 to 20bb, while 76o shoves every time only up to 10.5bb. From the big blind, 76s calls cleanly 1bb deeper than 76o (5bb against 4bb). 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 76s?

The stack pages show the full shove and call charts at each depth, and the hands closest to 76s in strength, along with 76o, have pages of their own. The combos page counts the specific hands that make up 76s and how card removal changes them.

How were the numbers for 76s 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 76s a shove at 10bb heads-up?
Yes. At 10bb the small blind shoves 76s: shoving is worth -0.213 big blinds and folding -0.500.
Should the big blind call a shove with 76s at 15bb?
No. At 15bb calling with 76s is worth -3.164 big blinds against -1.000 for folding, so the chart folds.
Does 76s ever fold heads-up at 20bb or less?
Not from the small blind: 76s shoves at every stack from 1 to 20bb. As the big blind it calls cleanly up to 5bb and folds or mixes deeper.