How deep can the small blind shove 87o?
87o shoves every time as the small blind up to 14.5bb. At 14.5bb its shove is worth -0.4819 big blinds against -0.5000 for folding. Past 14.5bb the chart folds it.
| Stack | Shove frequency | Shove EV | Fold EV | Equity when called |
|---|---|---|---|---|
| 1bb | 100% | -0.099 | -0.500 | 45.1% |
| 2bb | 100% | -0.198 | -0.500 | 45.1% |
| 3bb | 100% | -0.302 | -0.500 | 43.2% |
| 4bb | 100% | -0.354 | -0.500 | 39.7% |
| 5bb | 100% | -0.398 | -0.500 | 37.6% |
| 6bb | 100% | -0.410 | -0.500 | 36.9% |
| 7bb | 100% | -0.406 | -0.500 | 36.8% |
| 8bb | 100% | -0.432 | -0.500 | 36.8% |
| 9bb | 100% | -0.424 | -0.500 | 36.5% |
| 10bb | 100% | -0.420 | -0.500 | 36.5% |
| 11bb | 100% | -0.450 | -0.500 | 36.3% |
| 12bb | 100% | -0.467 | -0.500 | 36.1% |
| 13bb | 100% | -0.461 | -0.500 | 36.2% |
| 14bb | 100% | -0.462 | -0.500 | 36.4% |
| 15bb | 0% | -0.508 | -0.500 | 36.4% |
| 16bb | 0% | -0.510 | -0.500 | 35.9% |
| 17bb | 0% | -0.523 | -0.500 | 35.5% |
| 18bb | 0% | -0.529 | -0.500 | 35.5% |
| 19bb | 0% | -0.551 | -0.500 | 35.1% |
| 20bb | 0% | -0.554 | -0.500 | 35.1% |
When should the big blind call with 87o?
87o calls every time as the big blind up to 4.5bb. At 4.5bb its call is worth -0.9340 big blinds against -1.0000 for folding. At 4.5bb a call breaks even at 38.9% equity, because the big blind has already posted a full blind that folding gives up. Past 4.5bb the chart folds it.
| Stack | Call frequency | Call EV | Fold EV | Equity vs shoves |
|---|---|---|---|---|
| 1bb | 100% | -0.099 | -1.000 | 45.1% |
| 2bb | 100% | -0.300 | -1.000 | 42.5% |
| 3bb | 100% | -0.595 | -1.000 | 40.1% |
| 4bb | 100% | -0.833 | -1.000 | 39.6% |
| 5bb | 0% | -1.042 | -1.000 | 39.6% |
| 6bb | 0% | -1.280 | -1.000 | 39.3% |
| 7bb | 0% | -1.508 | -1.000 | 39.2% |
| 8bb | 0% | -1.859 | -1.000 | 38.4% |
| 9bb | 0% | -2.076 | -1.000 | 38.5% |
| 10bb | 0% | -2.290 | -1.000 | 38.5% |
| 11bb | 0% | -2.613 | -1.000 | 38.1% |
| 12bb | 0% | -2.896 | -1.000 | 37.9% |
| 13bb | 0% | -3.217 | -1.000 | 37.6% |
| 14bb | 0% | -3.509 | -1.000 | 37.5% |
| 15bb | 0% | -3.859 | -1.000 | 37.1% |
| 16bb | 0% | -4.158 | -1.000 | 37.0% |
| 17bb | 0% | -4.441 | -1.000 | 36.9% |
| 18bb | 0% | -4.675 | -1.000 | 37.0% |
| 19bb | 0% | -4.954 | -1.000 | 37.0% |
| 20bb | 0% | -5.256 | -1.000 | 36.9% |
What makes 87o different from similar hands?
87o is 12 combos out of the 1,326 two-card hands and ranks number 117 of the 169 starting-hand classes by equity against a random hand. From the small blind, 87o shoves every time only up to 14.5bb, while 87s shoves at every stack from 1 to 20bb. From the big blind, 87o calls cleanly 2bb shallower than 87s (4.5bb against 6.5bb). 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 87o?
The stack pages show the full shove and call charts at each depth, and the hands closest to 87o in strength, along with 87s, have pages of their own. The combos page counts the specific hands that make up 87o and how card removal changes them.
How were the numbers for 87o 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 87o a shove at 10bb heads-up?
- Yes. At 10bb the small blind shoves 87o: shoving is worth -0.420 big blinds and folding -0.500.
- Should the big blind call a shove with 87o at 15bb?
- No. At 15bb calling with 87o is worth -3.859 big blinds against -1.000 for folding, so the chart folds.
- Why does 87o 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. 87o shoves every time only up to 14.5bb.