How deep can the small blind shove Q8o?
Q8o shoves every time as the small blind up to 13bb. At 13bb its shove is worth -0.4987 big blinds against -0.5000 for folding. Past 13bb the chart folds it.
| Stack | Shove frequency | Shove EV | Fold EV | Equity when called |
|---|---|---|---|---|
| 1bb | 100% | +0.072 | -0.500 | 53.6% |
| 2bb | 100% | +0.144 | -0.500 | 53.6% |
| 3bb | 100% | +0.209 | -0.500 | 52.3% |
| 4bb | 100% | +0.217 | -0.500 | 49.1% |
| 5bb | 100% | +0.154 | -0.500 | 46.1% |
| 6bb | 100% | +0.060 | -0.500 | 43.6% |
| 7bb | 100% | -0.073 | -0.500 | 41.1% |
| 8bb | 100% | -0.207 | -0.500 | 39.4% |
| 9bb | 100% | -0.279 | -0.500 | 37.9% |
| 10bb | 100% | -0.359 | -0.500 | 36.8% |
| 11bb | 100% | -0.419 | -0.500 | 36.1% |
| 12bb | 100% | -0.445 | -0.500 | 36.0% |
| 13bb | 100% | -0.499 | -0.500 | 35.1% |
| 14bb | 0% | -0.531 | -0.500 | 35.0% |
| 15bb | 0% | -0.577 | -0.500 | 35.0% |
| 16bb | 0% | -0.572 | -0.500 | 34.7% |
| 17bb | 0% | -0.573 | -0.500 | 34.4% |
| 18bb | 0% | -0.582 | -0.500 | 34.4% |
| 19bb | 0% | -0.614 | -0.500 | 33.8% |
| 20bb | 0% | -0.613 | -0.500 | 34.1% |
When should the big blind call with Q8o?
Q8o calls every time as the big blind up to 9.5bb. At 9.5bb its call is worth -0.9526 big blinds against -1.0000 for folding. At 9.5bb a call breaks even at 44.7% equity, because the big blind has already posted a full blind that folding gives up. Past 9.5bb the chart folds it.
| Stack | Call frequency | Call EV | Fold EV | Equity vs shoves |
|---|---|---|---|---|
| 1bb | 100% | +0.072 | -1.000 | 53.6% |
| 2bb | 100% | +0.078 | -1.000 | 51.9% |
| 3bb | 100% | -0.002 | -1.000 | 50.0% |
| 4bb | 100% | -0.076 | -1.000 | 49.0% |
| 5bb | 100% | -0.150 | -1.000 | 48.5% |
| 6bb | 100% | -0.274 | -1.000 | 47.7% |
| 7bb | 100% | -0.398 | -1.000 | 47.2% |
| 8bb | 100% | -0.650 | -1.000 | 45.9% |
| 9bb | 100% | -0.841 | -1.000 | 45.3% |
| 10bb | 0% | -1.033 | -1.000 | 44.8% |
| 11bb | 0% | -1.423 | -1.000 | 43.5% |
| 12bb | 0% | -1.576 | -1.000 | 43.4% |
| 13bb | 0% | -1.775 | -1.000 | 43.2% |
| 14bb | 0% | -2.091 | -1.000 | 42.5% |
| 15bb | 0% | -2.495 | -1.000 | 41.7% |
| 16bb | 0% | -2.651 | -1.000 | 41.7% |
| 17bb | 0% | -2.971 | -1.000 | 41.3% |
| 18bb | 0% | -3.267 | -1.000 | 40.9% |
| 19bb | 0% | -3.465 | -1.000 | 40.9% |
| 20bb | 0% | -3.646 | -1.000 | 40.9% |
What makes Q8o different from similar hands?
Q8o is 12 combos out of the 1,326 two-card hands and ranks number 68 of the 169 starting-hand classes by equity against a random hand. From the small blind, Q8o shoves every time only up to 13bb, while Q8s shoves at every stack from 1 to 20bb. From the big blind, Q8o calls cleanly 3.5bb shallower than Q8s (9.5bb against 13bb). 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 Q8o?
The stack pages show the full shove and call charts at each depth, and the hands closest to Q8o in strength, along with Q8s, have pages of their own. The combos page counts the specific hands that make up Q8o and how card removal changes them.
How were the numbers for Q8o 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 Q8o a shove at 10bb heads-up?
- Yes. At 10bb the small blind shoves Q8o: shoving is worth -0.359 big blinds and folding -0.500.
- Should the big blind call a shove with Q8o at 15bb?
- No. At 15bb calling with Q8o is worth -2.495 big blinds against -1.000 for folding, so the chart folds.
- Why does Q8o 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. Q8o shoves every time only up to 13bb.