Push or fold with 82o heads-up

As the small blind in heads-up play, 82o shoves at every stack up to 1.5bb and folds deeper, while as the big blind it calls at every stack up to 2.5bb and folds deeper. The game is chips only, blinds 0.5 and 1.

  • 1.5bbShoves every time up to
  • 2.5bbCalls every time up to
  • 159Rank of 169
  • 12Combos

How deep can the small blind shove 82o?

82o shoves every time as the small blind up to 1.5bb. At 1.5bb its shove is worth -0.3952 big blinds against -0.5000 for folding. Past 1.5bb the chart folds it.

82o as the small blind, by stack
StackShove frequencyShove EVFold EVEquity when called
1bb100%-0.263-0.50036.8%
2bb0%-0.527-0.50036.8%
3bb0%-0.770-0.50035.1%
4bb0%-0.821-0.50032.4%
5bb0%-0.837-0.50031.1%
6bb0%-0.853-0.50030.6%
7bb0%-0.873-0.50030.4%
8bb0%-0.929-0.50030.2%
9bb0%-0.924-0.50030.0%
10bb0%-0.938-0.50030.0%
11bb0%-0.981-0.50029.8%
12bb0%-1.015-0.50029.6%
13bb0%-1.033-0.50029.4%
14bb0%-1.053-0.50029.5%
15bb0%-1.127-0.50029.4%
16bb0%-1.116-0.50029.4%
17bb0%-1.113-0.50029.2%
18bb0%-1.134-0.50029.1%
19bb0%-1.151-0.50028.9%
20bb0%-1.169-0.50028.8%

When should the big blind call with 82o?

82o calls every time as the big blind up to 2.5bb. At 2.5bb its call is worth -0.8526 big blinds against -1.0000 for folding. At 2.5bb a call breaks even at 30.0% equity, because the big blind has already posted a full blind that folding gives up. Past 2.5bb the chart folds it.

82o as the big blind, by stack
StackCall frequencyCall EVFold EVEquity vs shoves
1bb100%-0.263-1.00036.8%
2bb100%-0.624-1.00034.4%
3bb0%-1.051-1.00032.5%
4bb0%-1.418-1.00032.3%
5bb0%-1.758-1.00032.4%
6bb0%-2.130-1.00032.3%
7bb0%-2.485-1.00032.3%
8bb0%-2.900-1.00031.9%
9bb0%-3.261-1.00031.9%
10bb0%-3.640-1.00031.8%
11bb0%-4.140-1.00031.2%
12bb0%-4.508-1.00031.2%
13bb0%-4.932-1.00031.0%
14bb0%-5.351-1.00030.9%
15bb0%-5.788-1.00030.7%
16bb0%-6.208-1.00030.6%
17bb0%-6.682-1.00030.3%
18bb0%-7.058-1.00030.4%
19bb0%-7.440-1.00030.4%
20bb0%-7.832-1.00030.4%

What makes 82o different from similar hands?

82o is 12 combos out of the 1,326 two-card hands and ranks number 159 of the 169 starting-hand classes by equity against a random hand. From the small blind, 82o shoves cleanly 1bb shallower than 82s (1.5bb against 2.5bb). From the big blind, 82o calls cleanly 1bb shallower than 82s (2.5bb against 3.5bb). 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 82o?

The stack pages show the full shove and call charts at each depth, and the hands closest to 82o in strength, along with 82s, have pages of their own. The combos page counts the specific hands that make up 82o and how card removal changes them.

How were the numbers for 82o 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 82o a shove at 10bb heads-up?
No. At 10bb the small blind folds 82o: shoving is worth -0.938 big blinds and folding -0.500.
Should the big blind call a shove with 82o at 15bb?
No. At 15bb calling with 82o is worth -5.788 big blinds against -1.000 for folding, so the chart folds.
Why does 82o 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. 82o shoves every time only up to 1.5bb.