How deep can the small blind shove 85o?
85o shoves every time as the small blind up to 3bb. At 3bb its shove is worth -0.5000 big blinds against -0.5000 for folding. Past 3bb the chart folds it.
| Stack | Shove frequency | Shove EV | Fold EV | Equity when called |
|---|---|---|---|---|
| 1bb | 100% | -0.171 | -0.500 | 41.4% |
| 2bb | 100% | -0.343 | -0.500 | 41.4% |
| 3bb | 100% | -0.500 | -0.500 | 39.6% |
| 4bb | 0% | -0.573 | -0.500 | 36.2% |
| 5bb | 0% | -0.595 | -0.500 | 34.7% |
| 6bb | 0% | -0.602 | -0.500 | 34.2% |
| 7bb | 0% | -0.602 | -0.500 | 34.2% |
| 8bb | 0% | -0.640 | -0.500 | 34.1% |
| 9bb | 0% | -0.641 | -0.500 | 33.7% |
| 10bb | 0% | -0.649 | -0.500 | 33.6% |
| 11bb | 0% | -0.674 | -0.500 | 33.6% |
| 12bb | 0% | -0.698 | -0.500 | 33.4% |
| 13bb | 0% | -0.708 | -0.500 | 33.2% |
| 14bb | 0% | -0.714 | -0.500 | 33.5% |
| 15bb | 0% | -0.770 | -0.500 | 33.5% |
| 16bb | 0% | -0.775 | -0.500 | 32.9% |
| 17bb | 0% | -0.787 | -0.500 | 32.5% |
| 18bb | 0% | -0.800 | -0.500 | 32.4% |
| 19bb | 0% | -0.823 | -0.500 | 32.1% |
| 20bb | 0% | -0.836 | -0.500 | 32.0% |
When should the big blind call with 85o?
85o calls every time as the big blind up to 3.5bb. At 3.5bb its call is worth -0.9707 big blinds against -1.0000 for folding. At 3.5bb a call breaks even at 35.7% equity, because the big blind has already posted a full blind that folding gives up. Past 3.5bb the chart folds it.
| Stack | Call frequency | Call EV | Fold EV | Equity vs shoves |
|---|---|---|---|---|
| 1bb | 100% | -0.171 | -1.000 | 41.4% |
| 2bb | 100% | -0.447 | -1.000 | 38.8% |
| 3bb | 100% | -0.818 | -1.000 | 36.4% |
| 4bb | 0% | -1.111 | -1.000 | 36.1% |
| 5bb | 0% | -1.375 | -1.000 | 36.3% |
| 6bb | 0% | -1.676 | -1.000 | 36.0% |
| 7bb | 0% | -1.939 | -1.000 | 36.1% |
| 8bb | 0% | -2.325 | -1.000 | 35.5% |
| 9bb | 0% | -2.592 | -1.000 | 35.6% |
| 10bb | 0% | -2.886 | -1.000 | 35.6% |
| 11bb | 0% | -3.319 | -1.000 | 34.9% |
| 12bb | 0% | -3.655 | -1.000 | 34.8% |
| 13bb | 0% | -4.043 | -1.000 | 34.4% |
| 14bb | 0% | -4.424 | -1.000 | 34.2% |
| 15bb | 0% | -4.697 | -1.000 | 34.3% |
| 16bb | 0% | -5.036 | -1.000 | 34.3% |
| 17bb | 0% | -5.438 | -1.000 | 34.0% |
| 18bb | 0% | -5.733 | -1.000 | 34.1% |
| 19bb | 0% | -6.035 | -1.000 | 34.1% |
| 20bb | 0% | -6.393 | -1.000 | 34.0% |
What makes 85o different from similar hands?
85o is 12 combos out of the 1,326 two-card hands and ranks number 137 of the 169 starting-hand classes by equity against a random hand. From the small blind, 85o shoves cleanly 15.5bb shallower than 85s (3bb against 18.5bb). From the big blind, 85o calls cleanly 1bb shallower than 85s (3.5bb against 4.5bb). 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 85o?
The stack pages show the full shove and call charts at each depth, and the hands closest to 85o in strength, along with 85s, have pages of their own. The combos page counts the specific hands that make up 85o and how card removal changes them.
How were the numbers for 85o 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 85o a shove at 10bb heads-up?
- No. At 10bb the small blind folds 85o: shoving is worth -0.649 big blinds and folding -0.500.
- Should the big blind call a shove with 85o at 15bb?
- No. At 15bb calling with 85o is worth -4.697 big blinds against -1.000 for folding, so the chart folds.
- Why does 85o 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. 85o shoves every time only up to 3bb.