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Push or fold with Q7s heads-up

By GeorgeLiPokerUpdated

Heads-up, as the small blind Q7s shoves at every stack up to 20bb. As the big blind it calls at every stack up to 10.5bb and folds deeper. Chips only, no ante, equal stacks.

  • 20bbShoves every time up to
  • 10.5bbCalls every time up to
  • 61Rank of 169
  • 4Combos

How deep can the small blind shove Q7s?

Q7s 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.

Q7s as the small blind, by stack
StackShove frequencyShove EVFold EVEquity when called
1bb100%+0.086-0.50054.3%
2bb100%+0.172-0.50054.3%
3bb100%+0.249-0.50053.1%
4bb100%+0.259-0.50049.8%
5bb100%+0.196-0.50046.8%
6bb100%+0.096-0.50044.3%
7bb100%-0.014-0.50042.1%
8bb100%-0.121-0.50040.7%
9bb100%-0.180-0.50039.4%
10bb100%-0.227-0.50038.6%
11bb100%-0.269-0.50038.1%
12bb100%-0.293-0.50037.9%
13bb100%-0.323-0.50037.5%
14bb100%-0.349-0.50037.2%
15bb100%-0.390-0.50037.2%
16bb100%-0.384-0.50036.9%
17bb100%-0.388-0.50036.6%
18bb100%-0.399-0.50036.5%
19bb100%-0.431-0.50036.0%
20bb100%-0.432-0.50036.1%

When should the big blind call with Q7s?

Q7s calls every time as the big blind up to 10.5bb. At 10.5bb its call is worth -0.9582 big blinds against -1.0000 for folding. At 10.5bb a call breaks even at 45.2% equity, because the big blind has already posted a full blind that folding gives up. Past 10.5bb the chart folds it.

Q7s as the big blind, by stack
StackCall frequencyCall EVFold EVEquity vs shoves
1bb100%+0.086-1.00054.3%
2bb100%+0.106-1.00052.6%
3bb100%+0.038-1.00050.6%
4bb100%-0.019-1.00049.8%
5bb100%-0.078-1.00049.2%
6bb100%-0.189-1.00048.4%
7bb100%-0.298-1.00047.9%
8bb100%-0.515-1.00046.8%
9bb100%-0.689-1.00046.2%
10bb100%-0.868-1.00045.7%
11bb0%-1.195-1.00044.6%
12bb0%-1.335-1.00044.4%
13bb0%-1.511-1.00044.2%
14bb0%-1.735-1.00043.8%
15bb0%-2.095-1.00043.0%
16bb0%-2.229-1.00043.0%
17bb0%-2.425-1.00042.9%
18bb0%-2.656-1.00042.6%
19bb0%-2.884-1.00042.4%
20bb0%-3.036-1.00042.4%

What makes Q7s different from similar hands?

Q7s is 4 combos out of the 1,326 two-card hands and ranks number 61 of the 169 starting-hand classes by equity against a random hand. From the small blind, Q7s shoves at every stack from 1 to 20bb, while Q7o shoves every time only up to 10bb. From the big blind, Q7s calls cleanly 3bb deeper than Q7o (10.5bb against 7.5bb). 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 Q7s?

The stack pages show the full shove and call charts at each depth, and the hands closest to Q7s in strength, along with Q7o, have pages of their own. The combos page counts the specific hands that make up Q7s and how card removal changes them.

How were the numbers for Q7s 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 Q7s a shove at 10bb heads-up?
Yes. At 10bb the small blind shoves Q7s: shoving is worth -0.227 big blinds and folding -0.500.
Should the big blind call a shove with Q7s at 15bb?
No. At 15bb calling with Q7s is worth -2.095 big blinds against -1.000 for folding, so the chart folds.
Does Q7s ever fold heads-up at 20bb or less?
Not from the small blind: Q7s shoves at every stack from 1 to 20bb. As the big blind it calls cleanly up to 10.5bb and folds or mixes deeper.