Push or fold with J7o heads-up

The solved heads-up answer for J7o: out of the small blind it shoves at every stack up to 8bb, mixes at 8.5bb alone and folds deeper, and out of the big blind it calls at every stack up to 6bb and folds deeper. No ante, no prize pool.

  • 8bbShoves every time up to
  • 6bbCalls every time up to
  • 92Rank of 169
  • 12Combos

How deep can the small blind shove J7o?

J7o shoves every time as the small blind up to 8bb. At 8bb its shove is worth -0.4834 big blinds against -0.5000 for folding. At 8.5bb it mixes, so either choice is close to break-even at that stack. At that stack the shove is worth -0.5000 big blinds, level with the -0.5000 for folding. Past 8.5bb the chart folds it.

J7o as the small blind, by stack
StackShove frequencyShove EVFold EVEquity when called
1bb100%-0.006-0.50049.7%
2bb100%-0.013-0.50049.7%
3bb100%-0.023-0.50048.2%
4bb100%-0.086-0.50043.9%
5bb100%-0.217-0.50040.2%
6bb100%-0.335-0.50037.9%
7bb100%-0.425-0.50036.3%
8bb100%-0.483-0.50035.9%
9bb0%-0.524-0.50034.9%
10bb0%-0.541-0.50034.6%
11bb0%-0.573-0.50034.3%
12bb0%-0.610-0.50034.0%
13bb0%-0.605-0.50034.2%
14bb0%-0.619-0.50034.1%
15bb0%-0.673-0.50034.1%
16bb0%-0.669-0.50033.7%
17bb0%-0.675-0.50033.2%
18bb0%-0.689-0.50033.1%
19bb0%-0.708-0.50032.8%
20bb0%-0.704-0.50033.1%

When should the big blind call with J7o?

J7o calls every time as the big blind up to 6bb. At 6bb its call is worth -0.9215 big blinds against -1.0000 for folding. At 6bb a call breaks even at 41.7% equity, because the big blind has already posted a full blind that folding gives up. Past 6bb the chart folds it.

J7o as the big blind, by stack
StackCall frequencyCall EVFold EVEquity vs shoves
1bb100%-0.006-1.00049.7%
2bb100%-0.095-1.00047.6%
3bb100%-0.299-1.00045.0%
4bb100%-0.492-1.00043.8%
5bb100%-0.680-1.00043.2%
6bb100%-0.921-1.00042.3%
7bb0%-1.150-1.00041.8%
8bb0%-1.419-1.00041.1%
9bb0%-1.607-1.00041.1%
10bb0%-1.850-1.00040.8%
11bb0%-2.256-1.00039.7%
12bb0%-2.509-1.00039.5%
13bb0%-2.761-1.00039.4%
14bb0%-3.022-1.00039.2%
15bb0%-3.465-1.00038.5%
16bb0%-3.714-1.00038.4%
17bb0%-3.999-1.00038.2%
18bb0%-4.337-1.00038.0%
19bb0%-4.679-1.00037.7%
20bb0%-4.940-1.00037.6%

What makes J7o different from similar hands?

J7o is 12 combos out of the 1,326 two-card hands and ranks number 92 of the 169 starting-hand classes by equity against a random hand. From the small blind, J7o shoves every time only up to 8bb, while J7s shoves at every stack from 1 to 20bb. From the big blind, J7o calls cleanly 2.5bb shallower than J7s (6bb against 8.5bb). 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 J7o?

The stack pages show the full shove and call charts at each depth, and the hands closest to J7o in strength, along with J7s, have pages of their own. The combos page counts the specific hands that make up J7o and how card removal changes them.

How were the numbers for J7o 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 J7o a shove at 10bb heads-up?
No. At 10bb the small blind folds J7o: shoving is worth -0.541 big blinds and folding -0.500.
Should the big blind call a shove with J7o at 15bb?
No. At 15bb calling with J7o is worth -3.465 big blinds against -1.000 for folding, so the chart folds.
Why does J7o 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. J7o shoves every time only up to 8bb.