Push or fold with T7o heads-up

T7o shoves at every stack up to 9bb and folds deeper from the small blind. From the big blind it calls at every stack up to 5bb, mixes at 5.5bb alone and folds deeper. Both come from a solved heads-up game with no ante.

  • 9bbShoves every time up to
  • 5bbCalls every time up to
  • 101Rank of 169
  • 12Combos

How deep can the small blind shove T7o?

T7o shoves every time as the small blind up to 9bb. At 9bb its shove is worth -0.4982 big blinds against -0.5000 for folding. Past 9bb the chart folds it.

T7o as the small blind, by stack
StackShove frequencyShove EVFold EVEquity when called
1bb100%-0.042-0.50047.9%
2bb100%-0.084-0.50047.9%
3bb100%-0.131-0.50046.2%
4bb100%-0.236-0.50041.6%
5bb100%-0.344-0.50038.4%
6bb100%-0.411-0.50036.9%
7bb100%-0.451-0.50036.1%
8bb100%-0.494-0.50035.7%
9bb100%-0.498-0.50035.4%
10bb0%-0.505-0.50035.1%
11bb0%-0.537-0.50034.8%
12bb0%-0.562-0.50034.6%
13bb0%-0.553-0.50034.9%
14bb0%-0.567-0.50034.8%
15bb0%-0.618-0.50034.7%
16bb0%-0.613-0.50034.5%
17bb0%-0.623-0.50034.0%
18bb0%-0.638-0.50033.9%
19bb0%-0.658-0.50033.6%
20bb0%-0.655-0.50033.7%

When should the big blind call with T7o?

T7o calls every time as the big blind up to 5bb. At 5bb its call is worth -0.8950 big blinds against -1.0000 for folding. At 5bb a call breaks even at 40.0% equity, because the big blind has already posted a full blind that folding gives up. At 5.5bb it mixes, so either choice is close to break-even at that stack. At that stack the call is worth -1.0000 big blinds, level with the -1.0000 for folding. Past 5.5bb the chart folds it.

T7o as the big blind, by stack
StackCall frequencyCall EVFold EVEquity vs shoves
1bb100%-0.042-1.00047.9%
2bb100%-0.176-1.00045.6%
3bb100%-0.441-1.00042.6%
4bb100%-0.681-1.00041.5%
5bb100%-0.895-1.00041.0%
6bb0%-1.128-1.00040.6%
7bb0%-1.329-1.00040.5%
8bb0%-1.647-1.00039.7%
9bb0%-1.817-1.00039.9%
10bb0%-2.029-1.00039.9%
11bb0%-2.444-1.00038.9%
12bb0%-2.717-1.00038.7%
13bb0%-3.004-1.00038.4%
14bb0%-3.296-1.00038.2%
15bb0%-3.766-1.00037.4%
16bb0%-4.048-1.00037.4%
17bb0%-4.307-1.00037.3%
18bb0%-4.545-1.00037.4%
19bb0%-4.882-1.00037.2%
20bb0%-5.167-1.00037.1%

What makes T7o different from similar hands?

T7o is 12 combos out of the 1,326 two-card hands and ranks number 101 of the 169 starting-hand classes by equity against a random hand. From the small blind, T7o shoves every time only up to 9bb, while T7s shoves at every stack from 1 to 20bb. From the big blind, T7o calls cleanly 2bb shallower than T7s (5bb against 7bb). 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 T7o?

The stack pages show the full shove and call charts at each depth, and the hands closest to T7o in strength, along with T7s, have pages of their own. The combos page counts the specific hands that make up T7o and how card removal changes them.

How were the numbers for T7o 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 T7o a shove at 10bb heads-up?
No. At 10bb the small blind folds T7o: shoving is worth -0.505 big blinds and folding -0.500.
Should the big blind call a shove with T7o at 15bb?
No. At 15bb calling with T7o is worth -3.766 big blinds against -1.000 for folding, so the chart folds.
Why does T7o 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. T7o shoves every time only up to 9bb.