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Push or fold with T8s heads-up

By GeorgeLiPokerUpdated

Heads-up, as the small blind T8s shoves at every stack up to 20bb. As the big blind it calls at every stack up to 9bb and folds deeper. Chips only, no ante, equal stacks.

  • 20bbShoves every time up to
  • 9bbCalls every time up to
  • 73Rank of 169
  • 4Combos

How deep can the small blind shove T8s?

T8s 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.

T8s as the small blind, by stack
StackShove frequencyShove EVFold EVEquity when called
1bb100%+0.047-0.50052.3%
2bb100%+0.093-0.50052.3%
3bb100%+0.124-0.50050.8%
4bb100%+0.060-0.50046.6%
5bb100%-0.016-0.50043.7%
6bb100%-0.060-0.50042.1%
7bb100%-0.112-0.50040.9%
8bb100%-0.136-0.50040.6%
9bb100%-0.142-0.50040.0%
10bb100%-0.139-0.50039.9%
11bb100%-0.161-0.50039.6%
12bb100%-0.174-0.50039.4%
13bb100%-0.174-0.50039.4%
14bb100%-0.168-0.50039.5%
15bb100%-0.197-0.50039.6%
16bb100%-0.198-0.50039.2%
17bb100%-0.208-0.50038.8%
18bb100%-0.213-0.50038.8%
19bb100%-0.229-0.50038.5%
20bb100%-0.222-0.50038.6%

When should the big blind call with T8s?

T8s calls every time as the big blind up to 9bb. At 9bb its call is worth -0.9112 big blinds against -1.0000 for folding. At 9bb a call breaks even at 44.4% equity, because the big blind has already posted a full blind that folding gives up. Past 9bb the chart folds it.

T8s as the big blind, by stack
StackCall frequencyCall EVFold EVEquity vs shoves
1bb100%+0.047-1.00052.3%
2bb100%+0.011-1.00050.3%
3bb100%-0.143-1.00047.6%
4bb100%-0.279-1.00046.5%
5bb100%-0.389-1.00046.1%
6bb100%-0.518-1.00045.7%
7bb100%-0.616-1.00045.6%
8bb100%-0.818-1.00044.9%
9bb100%-0.911-1.00044.9%
10bb0%-1.062-1.00044.7%
11bb0%-1.401-1.00043.6%
12bb0%-1.577-1.00043.4%
13bb0%-1.758-1.00043.2%
14bb0%-1.891-1.00043.2%
15bb0%-2.224-1.00042.6%
16bb0%-2.401-1.00042.5%
17bb0%-2.654-1.00042.2%
18bb0%-2.837-1.00042.1%
19bb0%-3.003-1.00042.1%
20bb0%-3.180-1.00042.0%

What makes T8s different from similar hands?

T8s is 4 combos out of the 1,326 two-card hands and ranks number 73 of the 169 starting-hand classes by equity against a random hand. From the small blind, T8s shoves at every stack from 1 to 20bb, while T8o shoves every time only up to 16bb. From the big blind, T8s calls cleanly 2.5bb deeper than T8o (9bb against 6.5bb). 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 T8s?

The stack pages show the full shove and call charts at each depth, and the hands closest to T8s in strength, along with T8o, have pages of their own. The combos page counts the specific hands that make up T8s and how card removal changes them.

How were the numbers for T8s 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 T8s a shove at 10bb heads-up?
Yes. At 10bb the small blind shoves T8s: shoving is worth -0.139 big blinds and folding -0.500.
Should the big blind call a shove with T8s at 15bb?
No. At 15bb calling with T8s is worth -2.224 big blinds against -1.000 for folding, so the chart folds.
Does T8s ever fold heads-up at 20bb or less?
Not from the small blind: T8s shoves at every stack from 1 to 20bb. As the big blind it calls cleanly up to 9bb and folds or mixes deeper.