Push or fold with 32s heads-up

32s shoves at every stack up to 1.5bb and folds deeper from the small blind. From the big blind it calls at every stack up to 3bb and folds deeper. Both come from a solved heads-up game with no ante.

  • 1.5bbShoves every time up to
  • 3bbCalls every time up to
  • 163Rank of 169
  • 4Combos

How deep can the small blind shove 32s?

32s shoves every time as the small blind up to 1.5bb. At 1.5bb its shove is worth -0.4205 big blinds against -0.5000 for folding. Past 1.5bb the chart folds it.

32s as the small blind, by stack
StackShove frequencyShove EVFold EVEquity when called
1bb100%-0.280-0.50036.0%
2bb0%-0.561-0.50036.0%
3bb0%-0.748-0.50035.7%
4bb0%-0.694-0.50034.9%
5bb0%-0.644-0.50034.5%
6bb0%-0.636-0.50034.4%
7bb0%-0.635-0.50034.1%
8bb0%-0.675-0.50033.9%
9bb0%-0.664-0.50033.9%
10bb0%-0.679-0.50033.6%
11bb0%-0.709-0.50033.4%
12bb0%-0.741-0.50033.2%
13bb0%-0.758-0.50032.9%
14bb0%-0.783-0.50032.7%
15bb0%-0.848-0.50032.6%
16bb0%-0.843-0.50032.5%
17bb0%-0.833-0.50032.6%
18bb0%-0.860-0.50032.4%
19bb0%-0.871-0.50032.2%
20bb0%-0.897-0.50032.0%

When should the big blind call with 32s?

32s calls every time as the big blind up to 3bb. At 3bb its call is worth -0.9013 big blinds against -1.0000 for folding. At 3bb a call breaks even at 33.3% equity, because the big blind has already posted a full blind that folding gives up. Past 3bb the chart folds it.

32s as the big blind, by stack
StackCall frequencyCall EVFold EVEquity vs shoves
1bb100%-0.280-1.00036.0%
2bb100%-0.583-1.00035.4%
3bb100%-0.901-1.00035.0%
4bb0%-1.210-1.00034.9%
5bb0%-1.511-1.00034.9%
6bb0%-1.822-1.00034.8%
7bb0%-2.137-1.00034.7%
8bb0%-2.451-1.00034.7%
9bb0%-2.766-1.00034.6%
10bb0%-3.093-1.00034.5%
11bb0%-3.447-1.00034.3%
12bb0%-3.754-1.00034.4%
13bb0%-4.060-1.00034.4%
14bb0%-4.418-1.00034.2%
15bb0%-4.781-1.00034.1%
16bb0%-5.125-1.00034.0%
17bb0%-5.496-1.00033.8%
18bb0%-5.836-1.00033.8%
19bb0%-6.209-1.00033.7%
20bb0%-6.519-1.00033.7%

What makes 32s different from similar hands?

32s is 4 combos out of the 1,326 two-card hands and ranks number 163 of the 169 starting-hand classes by equity against a random hand. From the small blind, 32s shoves cleanly 0.5bb deeper than 32o (1.5bb against 1bb). From the big blind, 32s calls cleanly 0.5bb deeper than 32o (3bb against 2.5bb). 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 32s?

The stack pages show the full shove and call charts at each depth, and the hands closest to 32s in strength, along with 32o, have pages of their own. The combos page counts the specific hands that make up 32s and how card removal changes them.

How were the numbers for 32s computed?

The game has two players, blinds of 0.5 and 1, no ante and one effective stack. Every one of the 169 starting-hand classes is dealt in proportion to the card-compatible pairs of specific hands, and a showdown is settled with the exact equity from our preflop table. Each side keeps answering the other's average strategy until neither can gain, then the borderline hands are solved exactly.

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

Questions

Is 32s a shove at 10bb heads-up?
No. At 10bb the small blind folds 32s: shoving is worth -0.679 big blinds and folding -0.500.
Should the big blind call a shove with 32s at 15bb?
No. At 15bb calling with 32s is worth -4.781 big blinds against -1.000 for folding, so the chart folds.
Why does 32s 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. 32s shoves every time only up to 1.5bb.