Push or fold with 43o heads-up

43o 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
  • 164Rank of 169
  • 12Combos

How deep can the small blind shove 43o?

43o shoves every time as the small blind up to 1.5bb. At 1.5bb its shove is worth -0.4456 big blinds against -0.5000 for folding. Past 1.5bb the chart folds it.

43o as the small blind, by stack
StackShove frequencyShove EVFold EVEquity when called
1bb100%-0.297-0.50035.1%
2bb0%-0.594-0.50035.1%
3bb0%-0.800-0.50034.3%
4bb0%-0.769-0.50033.5%
5bb0%-0.728-0.50033.2%
6bb0%-0.730-0.50032.9%
7bb0%-0.727-0.50032.8%
8bb0%-0.771-0.50032.6%
9bb0%-0.770-0.50032.3%
10bb0%-0.780-0.50032.3%
11bb0%-0.814-0.50032.0%
12bb0%-0.846-0.50031.9%
13bb0%-0.861-0.50031.7%
14bb0%-0.884-0.50031.6%
15bb0%-0.951-0.50031.5%
16bb0%-0.966-0.50030.8%
17bb0%-0.963-0.50030.7%
18bb0%-0.990-0.50030.5%
19bb0%-0.993-0.50030.6%
20bb0%-1.017-0.50030.4%

When should the big blind call with 43o?

43o calls every time as the big blind up to 3bb. At 3bb its call is worth -0.9844 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.

43o as the big blind, by stack
StackCall frequencyCall EVFold EVEquity vs shoves
1bb100%-0.297-1.00035.1%
2bb100%-0.637-1.00034.1%
3bb100%-0.984-1.00033.6%
4bb0%-1.319-1.00033.5%
5bb0%-1.662-1.00033.4%
6bb0%-1.989-1.00033.4%
7bb0%-2.336-1.00033.3%
8bb0%-2.687-1.00033.2%
9bb0%-3.035-1.00033.1%
10bb0%-3.394-1.00033.0%
11bb0%-3.760-1.00032.9%
12bb0%-4.147-1.00032.7%
13bb0%-4.502-1.00032.7%
14bb0%-4.840-1.00032.7%
15bb0%-5.225-1.00032.6%
16bb0%-5.597-1.00032.5%
17bb0%-5.973-1.00032.4%
18bb0%-6.337-1.00032.4%
19bb0%-6.729-1.00032.3%
20bb0%-7.099-1.00032.3%

What makes 43o different from similar hands?

43o is 12 combos out of the 1,326 two-card hands and ranks number 164 of the 169 starting-hand classes by equity against a random hand. From the small blind, 43o shoves cleanly 0.5bb shallower than 43s (1.5bb against 2bb). From the big blind, 43o calls cleanly 0.5bb shallower than 43s (3bb 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 43o?

The stack pages show the full shove and call charts at each depth, and the hands closest to 43o in strength, along with 43s, have pages of their own. The combos page counts the specific hands that make up 43o and how card removal changes them.

How were the numbers for 43o computed?

We solve a chips-only game for two players: small blind 0.5, big blind 1, no ante, equal stacks. Starting hands are the 169 classes, weighted so that shared cards are impossible, and equity comes from counting every five-card board. The solver plays itself with best responses, averages them, and fixes the hands on the edge so they are exactly indifferent.

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

Questions

Is 43o a shove at 10bb heads-up?
No. At 10bb the small blind folds 43o: shoving is worth -0.780 big blinds and folding -0.500.
Should the big blind call a shove with 43o at 15bb?
No. At 15bb calling with 43o is worth -5.225 big blinds against -1.000 for folding, so the chart folds.
Why does 43o 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. 43o shoves every time only up to 1.5bb.