Book a session
Menu

Push or fold with T9o heads-up

By GeorgeLiPokerUpdated

The solved heads-up answer for T9o: out of the small blind it shoves at every stack up to 20bb, and out of the big blind it calls at every stack up to 8bb, mixes at 8.5bb alone and folds deeper. No ante, no prize pool.

  • 20bbShoves every time up to
  • 8bbCalls every time up to
  • 78Rank of 169
  • 12Combos

How deep can the small blind shove T9o?

T9o 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.

T9o as the small blind, by stack
StackShove frequencyShove EVFold EVEquity when called
1bb100%+0.031-0.50051.5%
2bb100%+0.061-0.50051.5%
3bb100%+0.084-0.50050.0%
4bb100%+0.007-0.50045.7%
5bb100%-0.074-0.50042.6%
6bb100%-0.126-0.50041.1%
7bb100%-0.195-0.50039.6%
8bb100%-0.234-0.50039.1%
9bb100%-0.264-0.50038.3%
10bb100%-0.277-0.50037.9%
11bb100%-0.308-0.50037.5%
12bb100%-0.326-0.50037.5%
13bb100%-0.326-0.50037.5%
14bb100%-0.341-0.50037.3%
15bb100%-0.383-0.50037.3%
16bb100%-0.381-0.50036.9%
17bb100%-0.383-0.50036.6%
18bb100%-0.385-0.50036.8%
19bb100%-0.401-0.50036.5%
20bb100%-0.391-0.50036.6%

When should the big blind call with T9o?

T9o calls every time as the big blind up to 8bb. At 8bb its call is worth -0.9655 big blinds against -1.0000 for folding. At 8bb a call breaks even at 43.8% equity, because the big blind has already posted a full blind that folding gives up. At 8.5bb 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 8.5bb the chart folds it.

T9o as the big blind, by stack
StackCall frequencyCall EVFold EVEquity vs shoves
1bb100%+0.031-1.00051.5%
2bb100%-0.021-1.00049.5%
3bb100%-0.193-1.00046.8%
4bb100%-0.353-1.00045.6%
5bb100%-0.484-1.00045.2%
6bb100%-0.631-1.00044.7%
7bb100%-0.748-1.00044.7%
8bb100%-0.965-1.00044.0%
9bb0%-1.073-1.00044.0%
10bb0%-1.241-1.00043.8%
11bb0%-1.600-1.00042.7%
12bb0%-1.790-1.00042.5%
13bb0%-1.987-1.00042.4%
14bb0%-2.206-1.00042.1%
15bb0%-2.592-1.00041.4%
16bb0%-2.789-1.00041.3%
17bb0%-3.113-1.00040.8%
18bb0%-3.407-1.00040.5%
19bb0%-3.705-1.00040.2%
20bb0%-3.922-1.00040.2%

What makes T9o different from similar hands?

T9o is 12 combos out of the 1,326 two-card hands and ranks number 78 of the 169 starting-hand classes by equity against a random hand. From the small blind, T9o and T9s both shove at every stack from 1 to 20bb. From the big blind, T9o calls cleanly 3bb shallower than T9s (8bb against 11bb). 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 T9o?

The stack pages show the full shove and call charts at each depth, and the hands closest to T9o in strength, along with T9s, have pages of their own. The combos page counts the specific hands that make up T9o and how card removal changes them.

How were the numbers for T9o 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 T9o a shove at 10bb heads-up?
Yes. At 10bb the small blind shoves T9o: shoving is worth -0.277 big blinds and folding -0.500.
Should the big blind call a shove with T9o at 15bb?
No. At 15bb calling with T9o is worth -2.592 big blinds against -1.000 for folding, so the chart folds.
Does T9o ever fold heads-up at 20bb or less?
Not from the small blind: T9o shoves at every stack from 1 to 20bb. As the big blind it calls cleanly up to 8bb and folds or mixes deeper.