Push or fold with 64o heads-up

As the small blind in heads-up play, 64o shoves at every stack up to 2bb and folds deeper, while as the big blind it calls at every stack up to 3bb and folds deeper. The game is chips only, blinds 0.5 and 1.

  • 2bbShoves every time up to
  • 3bbCalls every time up to
  • 154Rank of 169
  • 12Combos

How deep can the small blind shove 64o?

64o shoves every time as the small blind up to 2bb. At 2bb its shove is worth -0.4796 big blinds against -0.5000 for folding. Past 2bb the chart folds it.

64o as the small blind, by stack
StackShove frequencyShove EVFold EVEquity when called
1bb100%-0.240-0.50038.0%
2bb100%-0.480-0.50038.0%
3bb0%-0.654-0.50036.8%
4bb0%-0.658-0.50034.9%
5bb0%-0.630-0.50034.5%
6bb0%-0.633-0.50034.1%
7bb0%-0.625-0.50034.1%
8bb0%-0.659-0.50034.1%
9bb0%-0.661-0.50033.6%
10bb0%-0.662-0.50033.6%
11bb0%-0.693-0.50033.5%
12bb0%-0.717-0.50033.4%
13bb0%-0.722-0.50033.3%
14bb0%-0.739-0.50033.2%
15bb0%-0.797-0.50033.2%
16bb0%-0.807-0.50032.6%
17bb0%-0.823-0.50032.1%
18bb0%-0.843-0.50032.0%
19bb0%-0.847-0.50032.0%
20bb0%-0.865-0.50031.9%

When should the big blind call with 64o?

64o calls every time as the big blind up to 3bb. At 3bb its call is worth -0.8963 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.

64o as the big blind, by stack
StackCall frequencyCall EVFold EVEquity vs shoves
1bb100%-0.240-1.00038.0%
2bb100%-0.555-1.00036.1%
3bb100%-0.896-1.00035.1%
4bb0%-1.214-1.00034.8%
5bb0%-1.516-1.00034.8%
6bb0%-1.819-1.00034.8%
7bb0%-2.118-1.00034.9%
8bb0%-2.479-1.00034.5%
9bb0%-2.792-1.00034.5%
10bb0%-3.099-1.00034.5%
11bb0%-3.429-1.00034.4%
12bb0%-3.784-1.00034.2%
13bb0%-4.188-1.00033.9%
14bb0%-4.513-1.00033.9%
15bb0%-4.885-1.00033.7%
16bb0%-5.185-1.00033.8%
17bb0%-5.537-1.00033.7%
18bb0%-5.867-1.00033.7%
19bb0%-6.214-1.00033.6%
20bb0%-6.590-1.00033.5%

What makes 64o different from similar hands?

64o is 12 combos out of the 1,326 two-card hands and ranks number 154 of the 169 starting-hand classes by equity against a random hand. From the small blind, 64o shoves cleanly 14bb shallower than 64s (2bb against 16bb). From the big blind, 64o calls cleanly 1bb shallower than 64s (3bb against 4bb). 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 64o?

The stack pages show the full shove and call charts at each depth, and the hands closest to 64o in strength, along with 64s, have pages of their own. The combos page counts the specific hands that make up 64o and how card removal changes them.

How were the numbers for 64o 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 64o a shove at 10bb heads-up?
No. At 10bb the small blind folds 64o: shoving is worth -0.662 big blinds and folding -0.500.
Should the big blind call a shove with 64o at 15bb?
No. At 15bb calling with 64o is worth -4.885 big blinds against -1.000 for folding, so the chart folds.
Why does 64o 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. 64o shoves every time only up to 2bb.