How deep can the small blind shove QJo?
QJo 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% | +0.163 | -0.500 | 58.1% |
| 2bb | 100% | +0.325 | -0.500 | 58.1% |
| 3bb | 100% | +0.484 | -0.500 | 57.3% |
| 4bb | 100% | +0.560 | -0.500 | 54.8% |
| 5bb | 100% | +0.544 | -0.500 | 52.4% |
| 6bb | 100% | +0.477 | -0.500 | 50.0% |
| 7bb | 100% | +0.387 | -0.500 | 47.9% |
| 8bb | 100% | +0.294 | -0.500 | 46.2% |
| 9bb | 100% | +0.249 | -0.500 | 45.0% |
| 10bb | 100% | +0.167 | -0.500 | 43.7% |
| 11bb | 100% | +0.143 | -0.500 | 43.2% |
| 12bb | 100% | +0.080 | -0.500 | 42.4% |
| 13bb | 100% | +0.029 | -0.500 | 41.6% |
| 14bb | 100% | -0.013 | -0.500 | 41.0% |
| 15bb | 100% | -0.060 | -0.500 | 40.8% |
| 16bb | 100% | -0.107 | -0.500 | 39.9% |
| 17bb | 100% | -0.126 | -0.500 | 39.3% |
| 18bb | 100% | -0.139 | -0.500 | 39.2% |
| 19bb | 100% | -0.168 | -0.500 | 38.7% |
| 20bb | 100% | -0.212 | -0.500 | 38.4% |
When should the big blind call with QJo?
QJo calls every time as the big blind up to 19bb. At 19bb its call is worth -0.9786 big blinds against -1.0000 for folding. At 19bb a call breaks even at 47.4% equity, because the big blind has already posted a full blind that folding gives up. At 19.5bb it mixes, so either choice is close to break-even at that stack. At that stack the call is worth -1.0000 big blinds, level with the -1.0000 for folding. Past 19.5bb the chart folds it.
| Stack | Call frequency | Call EV | Fold EV | Equity vs shoves |
|---|---|---|---|---|
| 1bb | 100% | +0.163 | -1.000 | 58.1% |
| 2bb | 100% | +0.281 | -1.000 | 57.0% |
| 3bb | 100% | +0.337 | -1.000 | 55.6% |
| 4bb | 100% | +0.386 | -1.000 | 54.8% |
| 5bb | 100% | +0.425 | -1.000 | 54.3% |
| 6bb | 100% | +0.418 | -1.000 | 53.5% |
| 7bb | 100% | +0.410 | -1.000 | 52.9% |
| 8bb | 100% | +0.295 | -1.000 | 51.8% |
| 9bb | 100% | +0.217 | -1.000 | 51.2% |
| 10bb | 100% | +0.140 | -1.000 | 50.7% |
| 11bb | 100% | -0.096 | -1.000 | 49.6% |
| 12bb | 100% | -0.109 | -1.000 | 49.5% |
| 13bb | 100% | -0.153 | -1.000 | 49.4% |
| 14bb | 100% | -0.376 | -1.000 | 48.7% |
| 15bb | 100% | -0.586 | -1.000 | 48.0% |
| 16bb | 100% | -0.592 | -1.000 | 48.2% |
| 17bb | 100% | -0.731 | -1.000 | 47.9% |
| 18bb | 100% | -0.875 | -1.000 | 47.6% |
| 19bb | 100% | -0.979 | -1.000 | 47.4% |
| 20bb | 1% | -1.000 | -1.000 | 47.5% |
What makes QJo different from similar hands?
QJo is 12 combos out of the 1,326 two-card hands and ranks number 39 of the 169 starting-hand classes by equity against a random hand. From the small blind, QJo and QJs both shove at every stack from 1 to 20bb. From the big blind, QJo calls every time only up to 19bb, while QJs calls at every stack from 1 to 20bb. 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 QJo?
The stack pages show the full shove and call charts at each depth, and the hands closest to QJo in strength have pages of their own. The combos page counts the specific hands that make up QJo and how card removal changes them.
How were the numbers for QJo computed?
The game has two players, blinds of 0.5 and 1, no ante and one effective stack. Every one of the 169 starting-hand classes is dealt in proportion to the card-compatible pairs of specific hands, and a showdown is settled with the exact equity from our preflop table. Each side keeps answering the other's average strategy until neither can gain, then the borderline hands are solved exactly.
Source: GeorgeLiPoker's own heads-up solver, run on its exact preflop equity table.
Questions
- Is QJo a shove at 10bb heads-up?
- Yes. At 10bb the small blind shoves QJo: shoving is worth +0.167 big blinds and folding -0.500.
- Should the big blind call a shove with QJo at 15bb?
- Yes. At 15bb calling with QJo is worth -0.586 big blinds against -1.000 for folding, so the chart calls.
- Does QJo ever fold heads-up at 20bb or less?
- Not from the small blind: QJo shoves at every stack from 1 to 20bb. As the big blind it calls cleanly up to 19bb and folds or mixes deeper.