Push or fold with T2s heads-up

As the small blind in heads-up play, T2s shoves at every stack up to 6.5bb and folds deeper, while as the big blind it calls at every stack up to 4.5bb and folds deeper. The game is chips only, blinds 0.5 and 1.

  • 6.5bbShoves every time up to
  • 4.5bbCalls every time up to
  • 118Rank of 169
  • 4Combos

How deep can the small blind shove T2s?

T2s shoves every time as the small blind up to 6.5bb. At 6.5bb its shove is worth -0.4997 big blinds against -0.5000 for folding. Past 6.5bb the chart folds it.

T2s as the small blind, by stack
StackShove frequencyShove EVFold EVEquity when called
1bb100%-0.103-0.50044.8%
2bb100%-0.206-0.50044.8%
3bb100%-0.316-0.50043.1%
4bb100%-0.405-0.50039.1%
5bb100%-0.456-0.50036.9%
6bb100%-0.485-0.50036.1%
7bb0%-0.518-0.50035.3%
8bb0%-0.559-0.50035.0%
9bb0%-0.557-0.50034.7%
10bb0%-0.571-0.50034.4%
11bb0%-0.599-0.50034.2%
12bb0%-0.629-0.50034.0%
13bb0%-0.640-0.50033.9%
14bb0%-0.663-0.50033.7%
15bb0%-0.720-0.50033.6%
16bb0%-0.703-0.50033.7%
17bb0%-0.701-0.50033.5%
18bb0%-0.726-0.50033.3%
19bb0%-0.740-0.50033.1%
20bb0%-0.746-0.50033.1%

When should the big blind call with T2s?

T2s calls every time as the big blind up to 4.5bb. At 4.5bb its call is worth -0.9844 big blinds against -1.0000 for folding. At 4.5bb a call breaks even at 38.9% equity, because the big blind has already posted a full blind that folding gives up. Past 4.5bb the chart folds it.

T2s as the big blind, by stack
StackCall frequencyCall EVFold EVEquity vs shoves
1bb100%-0.103-1.00044.8%
2bb100%-0.298-1.00042.5%
3bb100%-0.606-1.00039.9%
4bb100%-0.874-1.00039.1%
5bb0%-1.108-1.00038.9%
6bb0%-1.354-1.00038.7%
7bb0%-1.586-1.00038.7%
8bb0%-1.889-1.00038.2%
9bb0%-2.109-1.00038.3%
10bb0%-2.334-1.00038.3%
11bb0%-2.762-1.00037.4%
12bb0%-3.000-1.00037.5%
13bb0%-3.282-1.00037.4%
14bb0%-3.595-1.00037.2%
15bb0%-4.036-1.00036.5%
16bb0%-4.330-1.00036.5%
17bb0%-4.674-1.00036.3%
18bb0%-4.948-1.00036.3%
19bb0%-5.321-1.00036.0%
20bb0%-5.589-1.00036.0%

What makes T2s different from similar hands?

T2s is 4 combos out of the 1,326 two-card hands and ranks number 118 of the 169 starting-hand classes by equity against a random hand. From the small blind, T2s shoves cleanly 4bb deeper than T2o (6.5bb against 2.5bb). From the big blind, T2s calls cleanly 1bb deeper than T2o (4.5bb against 3.5bb). 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 T2s?

The stack pages show the full shove and call charts at each depth, and the hands closest to T2s in strength, along with T2o, have pages of their own. The combos page counts the specific hands that make up T2s and how card removal changes them.

How were the numbers for T2s 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 T2s a shove at 10bb heads-up?
No. At 10bb the small blind folds T2s: shoving is worth -0.571 big blinds and folding -0.500.
Should the big blind call a shove with T2s at 15bb?
No. At 15bb calling with T2s is worth -4.036 big blinds against -1.000 for folding, so the chart folds.
Why does T2s 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. T2s shoves every time only up to 6.5bb.