Push or fold with J4s heads-up

As the small blind in heads-up play, J4s shoves at every stack up to 13.5bb and folds deeper, while as the big blind it calls at every stack up to 6bb and folds deeper. The game is chips only, blinds 0.5 and 1.

  • 13.5bbShoves every time up to
  • 6bbCalls every time up to
  • 95Rank of 169
  • 4Combos

How deep can the small blind shove J4s?

J4s shoves every time as the small blind up to 13.5bb. At 13.5bb its shove is worth -0.4978 big blinds against -0.5000 for folding. Past 13.5bb the chart folds it.

J4s as the small blind, by stack
StackShove frequencyShove EVFold EVEquity when called
1bb100%-0.019-0.50049.1%
2bb100%-0.037-0.50049.1%
3bb100%-0.053-0.50047.6%
4bb100%-0.142-0.50043.2%
5bb100%-0.238-0.50040.2%
6bb100%-0.303-0.50038.6%
7bb100%-0.352-0.50037.5%
8bb100%-0.393-0.50037.2%
9bb100%-0.426-0.50036.3%
10bb100%-0.433-0.50036.2%
11bb100%-0.456-0.50036.0%
12bb100%-0.490-0.50035.6%
13bb100%-0.495-0.50035.6%
14bb0%-0.511-0.50035.5%
15bb0%-0.561-0.50035.4%
16bb0%-0.565-0.50034.9%
17bb0%-0.573-0.50034.4%
18bb0%-0.593-0.50034.2%
19bb0%-0.587-0.50034.4%
20bb0%-0.589-0.50034.6%

When should the big blind call with J4s?

J4s calls every time as the big blind up to 6bb. At 6bb its call is worth -0.9559 big blinds against -1.0000 for folding. At 6bb a call breaks even at 41.7% equity, because the big blind has already posted a full blind that folding gives up. Past 6bb the chart folds it.

J4s as the big blind, by stack
StackCall frequencyCall EVFold EVEquity vs shoves
1bb100%-0.019-1.00049.1%
2bb100%-0.120-1.00047.0%
3bb100%-0.339-1.00044.3%
4bb100%-0.548-1.00043.2%
5bb100%-0.736-1.00042.6%
6bb100%-0.956-1.00042.0%
7bb0%-1.135-1.00041.9%
8bb0%-1.387-1.00041.3%
9bb0%-1.537-1.00041.5%
10bb0%-1.746-1.00041.3%
11bb0%-2.131-1.00040.3%
12bb0%-2.373-1.00040.1%
13bb0%-2.620-1.00039.9%
14bb0%-2.823-1.00039.9%
15bb0%-3.174-1.00039.4%
16bb0%-3.395-1.00039.4%
17bb0%-3.704-1.00039.1%
18bb0%-4.015-1.00038.8%
19bb0%-4.314-1.00038.6%
20bb0%-4.557-1.00038.6%

What makes J4s different from similar hands?

J4s is 4 combos out of the 1,326 two-card hands and ranks number 95 of the 169 starting-hand classes by equity against a random hand. From the small blind, J4s shoves cleanly 8.5bb deeper than J4o (13.5bb against 5bb). From the big blind, J4s calls cleanly 1.5bb deeper than J4o (6bb against 4.5bb). Suited hands win more often because of flushes, which is why the suited version is the more playable of the pair.

Where can I check other hands like J4s?

The stack pages show the full shove and call charts at each depth, and the hands closest to J4s in strength, along with J4o, have pages of their own. The combos page counts the specific hands that make up J4s and how card removal changes them.

How were the numbers for J4s 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 J4s a shove at 10bb heads-up?
Yes. At 10bb the small blind shoves J4s: shoving is worth -0.433 big blinds and folding -0.500.
Should the big blind call a shove with J4s at 15bb?
No. At 15bb calling with J4s is worth -3.174 big blinds against -1.000 for folding, so the chart folds.
Why does J4s 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. J4s shoves every time only up to 13.5bb.