How deep can the small blind shove 86o?
86o shoves every time as the small blind up to 6.5bb. At 6.5bb its shove is worth -0.4926 big blinds against -0.5000 for folding. At 7bb 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 7bb the chart folds it.
| Stack | Shove frequency | Shove EV | Fold EV | Equity when called |
|---|---|---|---|---|
| 1bb | 100% | -0.135 | -0.500 | 43.2% |
| 2bb | 100% | -0.270 | -0.500 | 43.2% |
| 3bb | 100% | -0.400 | -0.500 | 41.4% |
| 4bb | 100% | -0.462 | -0.500 | 37.9% |
| 5bb | 100% | -0.489 | -0.500 | 36.3% |
| 6bb | 99% | -0.500 | -0.500 | 35.7% |
| 7bb | 77% | -0.500 | -0.500 | 35.5% |
| 8bb | 0% | -0.524 | -0.500 | 35.6% |
| 9bb | 0% | -0.523 | -0.500 | 35.2% |
| 10bb | 0% | -0.523 | -0.500 | 35.2% |
| 11bb | 0% | -0.552 | -0.500 | 35.0% |
| 12bb | 0% | -0.565 | -0.500 | 35.1% |
| 13bb | 0% | -0.570 | -0.500 | 34.9% |
| 14bb | 0% | -0.575 | -0.500 | 35.0% |
| 15bb | 0% | -0.621 | -0.500 | 35.1% |
| 16bb | 0% | -0.627 | -0.500 | 34.6% |
| 17bb | 0% | -0.641 | -0.500 | 34.1% |
| 18bb | 0% | -0.651 | -0.500 | 34.1% |
| 19bb | 0% | -0.675 | -0.500 | 33.8% |
| 20bb | 0% | -0.682 | -0.500 | 33.7% |
When should the big blind call with 86o?
86o calls every time as the big blind up to 4bb. At 4bb its call is worth -0.9779 big blinds against -1.0000 for folding. At 4bb a call breaks even at 37.5% equity, because the big blind has already posted a full blind that folding gives up. Past 4bb the chart folds it.
| Stack | Call frequency | Call EV | Fold EV | Equity vs shoves |
|---|---|---|---|---|
| 1bb | 100% | -0.135 | -1.000 | 43.2% |
| 2bb | 100% | -0.373 | -1.000 | 40.7% |
| 3bb | 100% | -0.705 | -1.000 | 38.3% |
| 4bb | 100% | -0.978 | -1.000 | 37.8% |
| 5bb | 0% | -1.213 | -1.000 | 37.9% |
| 6bb | 0% | -1.467 | -1.000 | 37.8% |
| 7bb | 0% | -1.703 | -1.000 | 37.8% |
| 8bb | 0% | -2.058 | -1.000 | 37.1% |
| 9bb | 0% | -2.321 | -1.000 | 37.1% |
| 10bb | 0% | -2.554 | -1.000 | 37.2% |
| 11bb | 0% | -2.959 | -1.000 | 36.6% |
| 12bb | 0% | -3.275 | -1.000 | 36.4% |
| 13bb | 0% | -3.631 | -1.000 | 36.0% |
| 14bb | 0% | -3.970 | -1.000 | 35.8% |
| 15bb | 0% | -4.313 | -1.000 | 35.6% |
| 16bb | 0% | -4.568 | -1.000 | 35.7% |
| 17bb | 0% | -4.932 | -1.000 | 35.5% |
| 18bb | 0% | -5.196 | -1.000 | 35.6% |
| 19bb | 0% | -5.474 | -1.000 | 35.6% |
| 20bb | 0% | -5.804 | -1.000 | 35.5% |
What makes 86o different from similar hands?
86o is 12 combos out of the 1,326 two-card hands and ranks number 127 of the 169 starting-hand classes by equity against a random hand. From the small blind, 86o shoves every time only up to 6.5bb, while 86s shoves at every stack from 1 to 20bb. From the big blind, 86o calls cleanly 1.5bb shallower than 86s (4bb against 5.5bb). 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 86o?
The stack pages show the full shove and call charts at each depth, and the hands closest to 86o in strength, along with 86s, have pages of their own. The combos page counts the specific hands that make up 86o and how card removal changes them.
How were the numbers for 86o 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 86o a shove at 10bb heads-up?
- No. At 10bb the small blind folds 86o: shoving is worth -0.523 big blinds and folding -0.500.
- Should the big blind call a shove with 86o at 15bb?
- No. At 15bb calling with 86o is worth -4.313 big blinds against -1.000 for folding, so the chart folds.
- Why does 86o 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. 86o shoves every time only up to 6.5bb.