How deep can the small blind shove Q3o?
Q3o shoves every time as the small blind up to 7.5bb. At 7.5bb its shove is worth -0.4930 big blinds against -0.5000 for folding. Past 7.5bb the chart folds it.
| Stack | Shove frequency | Shove EV | Fold EV | Equity when called |
|---|---|---|---|---|
| 1bb | 100% | -0.036 | -0.500 | 48.2% |
| 2bb | 100% | -0.071 | -0.500 | 48.2% |
| 3bb | 100% | -0.105 | -0.500 | 46.8% |
| 4bb | 100% | -0.153 | -0.500 | 43.1% |
| 5bb | 100% | -0.240 | -0.500 | 39.9% |
| 6bb | 100% | -0.348 | -0.500 | 37.6% |
| 7bb | 100% | -0.448 | -0.500 | 35.8% |
| 8bb | 0% | -0.549 | -0.500 | 34.8% |
| 9bb | 0% | -0.589 | -0.500 | 34.0% |
| 10bb | 0% | -0.644 | -0.500 | 33.2% |
| 11bb | 0% | -0.686 | -0.500 | 32.8% |
| 12bb | 0% | -0.720 | -0.500 | 32.7% |
| 13bb | 0% | -0.775 | -0.500 | 32.0% |
| 14bb | 0% | -0.816 | -0.500 | 31.6% |
| 15bb | 0% | -0.879 | -0.500 | 31.6% |
| 16bb | 0% | -0.879 | -0.500 | 31.1% |
| 17bb | 0% | -0.862 | -0.500 | 31.2% |
| 18bb | 0% | -0.888 | -0.500 | 31.0% |
| 19bb | 0% | -0.912 | -0.500 | 30.6% |
| 20bb | 0% | -0.924 | -0.500 | 30.8% |
When should the big blind call with Q3o?
Q3o calls every time as the big blind up to 5.5bb. At 5.5bb its call is worth -0.9067 big blinds against -1.0000 for folding. At 5.5bb a call breaks even at 40.9% equity, because the big blind has already posted a full blind that folding gives up. Past 5.5bb the chart folds it.
| Stack | Call frequency | Call EV | Fold EV | Equity vs shoves |
|---|---|---|---|---|
| 1bb | 100% | -0.036 | -1.000 | 48.2% |
| 2bb | 100% | -0.153 | -1.000 | 46.2% |
| 3bb | 100% | -0.357 | -1.000 | 44.0% |
| 4bb | 100% | -0.558 | -1.000 | 43.0% |
| 5bb | 100% | -0.759 | -1.000 | 42.4% |
| 6bb | 0% | -1.021 | -1.000 | 41.5% |
| 7bb | 0% | -1.272 | -1.000 | 40.9% |
| 8bb | 0% | -1.590 | -1.000 | 40.1% |
| 9bb | 0% | -1.854 | -1.000 | 39.7% |
| 10bb | 0% | -2.108 | -1.000 | 39.5% |
| 11bb | 0% | -2.523 | -1.000 | 38.5% |
| 12bb | 0% | -2.789 | -1.000 | 38.4% |
| 13bb | 0% | -3.036 | -1.000 | 38.3% |
| 14bb | 0% | -3.358 | -1.000 | 38.0% |
| 15bb | 0% | -3.797 | -1.000 | 37.3% |
| 16bb | 0% | -4.039 | -1.000 | 37.4% |
| 17bb | 0% | -4.393 | -1.000 | 37.1% |
| 18bb | 0% | -4.748 | -1.000 | 36.8% |
| 19bb | 0% | -5.107 | -1.000 | 36.6% |
| 20bb | 0% | -5.351 | -1.000 | 36.6% |
What makes Q3o different from similar hands?
Q3o is 12 combos out of the 1,326 two-card hands and ranks number 98 of the 169 starting-hand classes by equity against a random hand. From the small blind, Q3o shoves cleanly 6bb shallower than Q3s (7.5bb against 13.5bb). From the big blind, Q3o calls cleanly 2bb shallower than Q3s (5.5bb against 7.5bb). 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 Q3o?
The stack pages show the full shove and call charts at each depth, and the hands closest to Q3o in strength, along with Q3s, have pages of their own. The combos page counts the specific hands that make up Q3o and how card removal changes them.
How were the numbers for Q3o 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 Q3o a shove at 10bb heads-up?
- No. At 10bb the small blind folds Q3o: shoving is worth -0.644 big blinds and folding -0.500.
- Should the big blind call a shove with Q3o at 15bb?
- No. At 15bb calling with Q3o is worth -3.797 big blinds against -1.000 for folding, so the chart folds.
- Why does Q3o 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. Q3o shoves every time only up to 7.5bb.