Push or fold with 93o heads-up

Heads-up, as the small blind 93o shoves at every stack up to 2.5bb and folds deeper. As the big blind it calls at every stack up to 3bb and folds deeper. Chips only, no ante, equal stacks.

  • 2.5bbShoves every time up to
  • 3bbCalls every time up to
  • 144Rank of 169
  • 12Combos

How deep can the small blind shove 93o?

93o shoves every time as the small blind up to 2.5bb. At 2.5bb its shove is worth -0.4990 big blinds against -0.5000 for folding. Past 2.5bb the chart folds it.

93o as the small blind, by stack
StackShove frequencyShove EVFold EVEquity when called
1bb100%-0.200-0.50040.0%
2bb100%-0.399-0.50040.0%
3bb0%-0.592-0.50038.0%
4bb0%-0.694-0.50034.4%
5bb0%-0.742-0.50032.5%
6bb0%-0.767-0.50031.9%
7bb0%-0.786-0.50031.4%
8bb0%-0.838-0.50031.2%
9bb0%-0.839-0.50031.0%
10bb0%-0.855-0.50030.9%
11bb0%-0.898-0.50030.5%
12bb0%-0.927-0.50030.6%
13bb0%-0.940-0.50030.4%
14bb0%-0.968-0.50030.3%
15bb0%-1.040-0.50030.2%
16bb0%-1.045-0.50029.6%
17bb0%-1.033-0.50029.7%
18bb0%-1.052-0.50029.7%
19bb0%-1.065-0.50029.5%
20bb0%-1.078-0.50029.4%

When should the big blind call with 93o?

93o calls every time as the big blind up to 3bb. At 3bb its call is worth -0.9200 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.

93o as the big blind, by stack
StackCall frequencyCall EVFold EVEquity vs shoves
1bb100%-0.200-1.00040.0%
2bb100%-0.511-1.00037.2%
3bb100%-0.920-1.00034.7%
4bb0%-1.258-1.00034.3%
5bb0%-1.571-1.00034.3%
6bb0%-1.886-1.00034.3%
7bb0%-2.205-1.00034.3%
8bb0%-2.614-1.00033.7%
9bb0%-2.937-1.00033.7%
10bb0%-3.259-1.00033.7%
11bb0%-3.717-1.00033.1%
12bb0%-4.095-1.00032.9%
13bb0%-4.458-1.00032.9%
14bb0%-4.871-1.00032.6%
15bb0%-5.396-1.00032.0%
16bb0%-5.785-1.00031.9%
17bb0%-6.245-1.00031.6%
18bb0%-6.621-1.00031.6%
19bb0%-7.104-1.00031.3%
20bb0%-7.487-1.00031.3%

What makes 93o different from similar hands?

93o is 12 combos out of the 1,326 two-card hands and ranks number 144 of the 169 starting-hand classes by equity against a random hand. From the small blind, 93o shoves cleanly 1.5bb shallower than 93s (2.5bb against 4bb). From the big blind, 93o calls cleanly 1bb shallower than 93s (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 93o?

The stack pages show the full shove and call charts at each depth, and the hands closest to 93o in strength, along with 93s, have pages of their own. The combos page counts the specific hands that make up 93o and how card removal changes them.

How were the numbers for 93o 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 93o a shove at 10bb heads-up?
No. At 10bb the small blind folds 93o: shoving is worth -0.855 big blinds and folding -0.500.
Should the big blind call a shove with 93o at 15bb?
No. At 15bb calling with 93o is worth -5.396 big blinds against -1.000 for folding, so the chart folds.
Why does 93o 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. 93o shoves every time only up to 2.5bb.