How deep can the small blind shove Q9o?
Q9o shoves at every stack from 1 to 20 big blinds as the small blind. Its shove EV stays above the -0.5000 big blinds it earns by folding at each of them.
| Stack | Shove frequency | Shove EV | Fold EV | Equity when called |
|---|---|---|---|---|
| 1bb | 100% | +0.107 | -0.500 | 55.4% |
| 2bb | 100% | +0.214 | -0.500 | 55.4% |
| 3bb | 100% | +0.319 | -0.500 | 54.3% |
| 4bb | 100% | +0.340 | -0.500 | 51.2% |
| 5bb | 100% | +0.298 | -0.500 | 48.4% |
| 6bb | 100% | +0.212 | -0.500 | 46.0% |
| 7bb | 100% | +0.102 | -0.500 | 43.6% |
| 8bb | 100% | -0.009 | -0.500 | 42.0% |
| 9bb | 100% | -0.085 | -0.500 | 40.5% |
| 10bb | 100% | -0.192 | -0.500 | 38.9% |
| 11bb | 100% | -0.240 | -0.500 | 38.3% |
| 12bb | 100% | -0.297 | -0.500 | 37.8% |
| 13bb | 100% | -0.347 | -0.500 | 37.0% |
| 14bb | 100% | -0.409 | -0.500 | 36.3% |
| 15bb | 100% | -0.452 | -0.500 | 36.3% |
| 16bb | 100% | -0.445 | -0.500 | 36.0% |
| 17bb | 100% | -0.457 | -0.500 | 35.6% |
| 18bb | 100% | -0.459 | -0.500 | 35.7% |
| 19bb | 100% | -0.491 | -0.500 | 35.2% |
| 20bb | 100% | -0.484 | -0.500 | 35.5% |
When should the big blind call with Q9o?
Q9o calls every time as the big blind up to 11.5bb. At 11.5bb its call is worth -0.9914 big blinds against -1.0000 for folding. At 11.5bb a call breaks even at 45.7% equity, because the big blind has already posted a full blind that folding gives up. Past 11.5bb the chart folds it.
| Stack | Call frequency | Call EV | Fold EV | Equity vs shoves |
|---|---|---|---|---|
| 1bb | 100% | +0.107 | -1.000 | 55.4% |
| 2bb | 100% | +0.157 | -1.000 | 53.9% |
| 3bb | 100% | +0.123 | -1.000 | 52.1% |
| 4bb | 100% | +0.092 | -1.000 | 51.2% |
| 5bb | 100% | +0.058 | -1.000 | 50.6% |
| 6bb | 100% | -0.021 | -1.000 | 49.8% |
| 7bb | 100% | -0.098 | -1.000 | 49.3% |
| 8bb | 100% | -0.300 | -1.000 | 48.1% |
| 9bb | 100% | -0.445 | -1.000 | 47.5% |
| 10bb | 100% | -0.592 | -1.000 | 47.0% |
| 11bb | 100% | -0.933 | -1.000 | 45.8% |
| 12bb | 0% | -1.034 | -1.000 | 45.7% |
| 13bb | 0% | -1.175 | -1.000 | 45.5% |
| 14bb | 0% | -1.505 | -1.000 | 44.6% |
| 15bb | 0% | -1.845 | -1.000 | 43.8% |
| 16bb | 0% | -1.952 | -1.000 | 43.9% |
| 17bb | 0% | -2.209 | -1.000 | 43.5% |
| 18bb | 0% | -2.443 | -1.000 | 43.2% |
| 19bb | 0% | -2.675 | -1.000 | 43.0% |
| 20bb | 0% | -2.808 | -1.000 | 43.0% |
What makes Q9o different from similar hands?
Q9o is 12 combos out of the 1,326 two-card hands and ranks number 56 of the 169 starting-hand classes by equity against a random hand. From the small blind, Q9o and Q9s both shove at every stack from 1 to 20bb. From the big blind, Q9o calls cleanly 4.5bb shallower than Q9s (11.5bb against 16bb). 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 Q9o?
The stack pages show the full shove and call charts at each depth, and the hands closest to Q9o in strength, along with Q9s, have pages of their own. The combos page counts the specific hands that make up Q9o and how card removal changes them.
How were the numbers for Q9o 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 Q9o a shove at 10bb heads-up?
- Yes. At 10bb the small blind shoves Q9o: shoving is worth -0.192 big blinds and folding -0.500.
- Should the big blind call a shove with Q9o at 15bb?
- No. At 15bb calling with Q9o is worth -1.845 big blinds against -1.000 for folding, so the chart folds.
- Does Q9o ever fold heads-up at 20bb or less?
- Not from the small blind: Q9o shoves at every stack from 1 to 20bb. As the big blind it calls cleanly up to 11.5bb and folds or mixes deeper.