Push or fold with 74o heads-up

The solved heads-up answer for 74o: out of the small blind it shoves at every stack up to 2bb and folds deeper, and out of the big blind it calls at every stack up to 3bb and folds deeper. No ante, no prize pool.

  • 2bbShoves every time up to
  • 3bbCalls every time up to
  • 151Rank of 169
  • 12Combos

How deep can the small blind shove 74o?

74o shoves every time as the small blind up to 2bb. At 2bb its shove is worth -0.4580 big blinds against -0.5000 for folding. Past 2bb the chart folds it.

74o as the small blind, by stack
StackShove frequencyShove EVFold EVEquity when called
1bb100%-0.229-0.50038.6%
2bb100%-0.458-0.50038.6%
3bb0%-0.641-0.50037.1%
4bb0%-0.679-0.50034.6%
5bb0%-0.671-0.50033.7%
6bb0%-0.683-0.50033.2%
7bb0%-0.676-0.50033.3%
8bb0%-0.718-0.50033.2%
9bb0%-0.720-0.50032.8%
10bb0%-0.721-0.50032.8%
11bb0%-0.756-0.50032.6%
12bb0%-0.787-0.50032.4%
13bb0%-0.789-0.50032.5%
14bb0%-0.805-0.50032.4%
15bb0%-0.868-0.50032.4%
16bb0%-0.877-0.50031.8%
17bb0%-0.891-0.50031.3%
18bb0%-0.911-0.50031.2%
19bb0%-0.913-0.50031.3%
20bb0%-0.929-0.50031.2%

When should the big blind call with 74o?

74o calls every time as the big blind up to 3bb. At 3bb its call is worth -0.9202 big blinds against -1.0000 for folding. At 3bb a call breaks even at 33.3% equity, because the big blind has already posted a full blind that folding gives up. Past 3bb the chart folds it.

74o as the big blind, by stack
StackCall frequencyCall EVFold EVEquity vs shoves
1bb100%-0.229-1.00038.6%
2bb100%-0.548-1.00036.3%
3bb100%-0.920-1.00034.7%
4bb0%-1.243-1.00034.5%
5bb0%-1.557-1.00034.4%
6bb0%-1.879-1.00034.3%
7bb0%-2.198-1.00034.3%
8bb0%-2.589-1.00033.8%
9bb0%-2.896-1.00033.9%
10bb0%-3.227-1.00033.9%
11bb0%-3.549-1.00033.9%
12bb0%-3.917-1.00033.7%
13bb0%-4.334-1.00033.3%
14bb0%-4.674-1.00033.3%
15bb0%-5.032-1.00033.2%
16bb0%-5.402-1.00033.1%
17bb0%-5.752-1.00033.1%
18bb0%-6.092-1.00033.1%
19bb0%-6.465-1.00033.0%
20bb0%-6.854-1.00032.9%

What makes 74o different from similar hands?

74o is 12 combos out of the 1,326 two-card hands and ranks number 151 of the 169 starting-hand classes by equity against a random hand. From the small blind, 74o shoves cleanly 11.5bb shallower than 74s (2bb against 13.5bb). From the big blind, 74o calls cleanly 1bb shallower than 74s (3bb against 4bb). 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 74o?

The stack pages show the full shove and call charts at each depth, and the hands closest to 74o in strength, along with 74s, have pages of their own. The combos page counts the specific hands that make up 74o and how card removal changes them.

How were the numbers for 74o 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 74o a shove at 10bb heads-up?
No. At 10bb the small blind folds 74o: shoving is worth -0.721 big blinds and folding -0.500.
Should the big blind call a shove with 74o at 15bb?
No. At 15bb calling with 74o is worth -5.032 big blinds against -1.000 for folding, so the chart folds.
Why does 74o 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. 74o shoves every time only up to 2bb.