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Push or fold with JTo heads-up

By GeorgeLiPokerUpdated

As the small blind in heads-up play, JTo shoves at every stack up to 20bb, while as the big blind it calls at every stack up to 12bb, mixes between 12.5bb and 13bb and folds deeper. The game is chips only, blinds 0.5 and 1.

  • 20bbShoves every time up to
  • 12bbCalls every time up to
  • 57Rank of 169
  • 12Combos

How deep can the small blind shove JTo?

JTo shoves at every stack from 1 to 20 big blinds as the small blind. Its shove EV stays above the -0.5000 big blinds it earns by folding at each of them.

JTo as the small blind, by stack
StackShove frequencyShove EVFold EVEquity when called
1bb100%+0.105-0.50055.2%
2bb100%+0.210-0.50055.2%
3bb100%+0.307-0.50054.1%
4bb100%+0.304-0.50050.5%
5bb100%+0.220-0.50047.2%
6bb100%+0.149-0.50045.2%
7bb100%+0.069-0.50043.4%
8bb100%+0.012-0.50042.5%
9bb100%-0.030-0.50041.4%
10bb100%-0.087-0.50040.4%
11bb100%-0.119-0.50039.9%
12bb100%-0.151-0.50039.5%
13bb100%-0.183-0.50039.1%
14bb100%-0.220-0.50038.6%
15bb100%-0.255-0.50038.6%
16bb100%-0.245-0.50038.3%
17bb100%-0.253-0.50037.9%
18bb100%-0.273-0.50037.7%
19bb100%-0.301-0.50037.3%
20bb100%-0.282-0.50037.6%

When should the big blind call with JTo?

JTo calls every time as the big blind up to 12bb. At 12bb its call is worth -0.8891 big blinds against -1.0000 for folding. At 12bb a call breaks even at 45.8% equity, because the big blind has already posted a full blind that folding gives up. Between 12.5bb and 13bb it mixes, so either choice is close to break-even there. In that zone the call is worth -1.0000 big blinds, level with the -1.0000 for folding. Past 13bb the chart folds it.

JTo as the big blind, by stack
StackCall frequencyCall EVFold EVEquity vs shoves
1bb100%+0.105-1.00055.2%
2bb100%+0.147-1.00053.7%
3bb100%+0.094-1.00051.6%
4bb100%+0.038-1.00050.5%
5bb100%-0.019-1.00049.8%
6bb100%-0.130-1.00048.9%
7bb100%-0.234-1.00048.3%
8bb100%-0.337-1.00047.9%
9bb100%-0.427-1.00047.6%
10bb100%-0.520-1.00047.4%
11bb100%-0.788-1.00046.4%
12bb100%-0.889-1.00046.3%
13bb4%-1.000-1.00046.2%
14bb0%-1.177-1.00045.8%
15bb0%-1.502-1.00045.0%
16bb0%-1.609-1.00045.0%
17bb0%-1.817-1.00044.7%
18bb0%-2.039-1.00044.3%
19bb0%-2.263-1.00044.0%
20bb0%-2.378-1.00044.1%

What makes JTo different from similar hands?

JTo is 12 combos out of the 1,326 two-card hands and ranks number 57 of the 169 starting-hand classes by equity against a random hand. From the small blind, JTo and JTs both shove at every stack from 1 to 20bb. From the big blind, JTo calls cleanly 5.5bb shallower than JTs (12bb against 17.5bb). 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 JTo?

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

How were the numbers for JTo 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 JTo a shove at 10bb heads-up?
Yes. At 10bb the small blind shoves JTo: shoving is worth -0.087 big blinds and folding -0.500.
Should the big blind call a shove with JTo at 15bb?
No. At 15bb calling with JTo is worth -1.502 big blinds against -1.000 for folding, so the chart folds.
Does JTo ever fold heads-up at 20bb or less?
Not from the small blind: JTo shoves at every stack from 1 to 20bb. As the big blind it calls cleanly up to 12bb and folds or mixes deeper.