How deep can the small blind shove Q2s?
Q2s shoves every time as the small blind up to 12.5bb. At 12.5bb its shove is worth -0.4815 big blinds against -0.5000 for folding. Past 12.5bb the chart folds it.
| Stack | Shove frequency | Shove EV | Fold EV | Equity when called |
|---|---|---|---|---|
| 1bb | 100% | +0.003 | -0.500 | 50.2% |
| 2bb | 100% | +0.007 | -0.500 | 50.2% |
| 3bb | 100% | +0.000 | -0.500 | 48.8% |
| 4bb | 100% | -0.010 | -0.500 | 45.5% |
| 5bb | 100% | -0.074 | -0.500 | 42.6% |
| 6bb | 100% | -0.162 | -0.500 | 40.5% |
| 7bb | 100% | -0.250 | -0.500 | 38.7% |
| 8bb | 100% | -0.335 | -0.500 | 37.8% |
| 9bb | 100% | -0.364 | -0.500 | 37.0% |
| 10bb | 100% | -0.414 | -0.500 | 36.3% |
| 11bb | 100% | -0.446 | -0.500 | 36.0% |
| 12bb | 100% | -0.477 | -0.500 | 35.8% |
| 13bb | 0% | -0.528 | -0.500 | 35.0% |
| 14bb | 0% | -0.565 | -0.500 | 34.6% |
| 15bb | 0% | -0.618 | -0.500 | 34.6% |
| 16bb | 0% | -0.598 | -0.500 | 34.7% |
| 17bb | 0% | -0.589 | -0.500 | 34.6% |
| 18bb | 0% | -0.611 | -0.500 | 34.4% |
| 19bb | 0% | -0.637 | -0.500 | 34.0% |
| 20bb | 0% | -0.645 | -0.500 | 34.1% |
When should the big blind call with Q2s?
Q2s calls every time as the big blind up to 7bb. At 7bb its call is worth -0.9157 big blinds against -1.0000 for folding. At 7bb a call breaks even at 42.9% equity, because the big blind has already posted a full blind that folding gives up. Past 7bb the chart folds it.
| Stack | Call frequency | Call EV | Fold EV | Equity vs shoves |
|---|---|---|---|---|
| 1bb | 100% | +0.003 | -1.000 | 50.2% |
| 2bb | 100% | -0.065 | -1.000 | 48.4% |
| 3bb | 100% | -0.215 | -1.000 | 46.4% |
| 4bb | 100% | -0.361 | -1.000 | 45.5% |
| 5bb | 100% | -0.515 | -1.000 | 44.9% |
| 6bb | 100% | -0.714 | -1.000 | 44.0% |
| 7bb | 100% | -0.916 | -1.000 | 43.5% |
| 8bb | 0% | -1.154 | -1.000 | 42.8% |
| 9bb | 0% | -1.367 | -1.000 | 42.4% |
| 10bb | 0% | -1.564 | -1.000 | 42.2% |
| 11bb | 0% | -1.904 | -1.000 | 41.3% |
| 12bb | 0% | -2.065 | -1.000 | 41.4% |
| 13bb | 0% | -2.279 | -1.000 | 41.2% |
| 14bb | 0% | -2.545 | -1.000 | 40.9% |
| 15bb | 0% | -2.925 | -1.000 | 40.3% |
| 16bb | 0% | -3.114 | -1.000 | 40.3% |
| 17bb | 0% | -3.409 | -1.000 | 40.0% |
| 18bb | 0% | -3.704 | -1.000 | 39.7% |
| 19bb | 0% | -4.011 | -1.000 | 39.4% |
| 20bb | 0% | -4.188 | -1.000 | 39.5% |
What makes Q2s different from similar hands?
Q2s is 4 combos out of the 1,326 two-card hands and ranks number 88 of the 169 starting-hand classes by equity against a random hand. From the small blind, Q2s shoves cleanly 5.5bb deeper than Q2o (12.5bb against 7bb). From the big blind, Q2s calls cleanly 1.5bb deeper than Q2o (7bb against 5.5bb). Suited hands win more often because of flushes, which is why the suited version is the more playable of the pair.
Where can I check other hands like Q2s?
The stack pages show the full shove and call charts at each depth, and the hands closest to Q2s in strength, along with Q2o, have pages of their own. The combos page counts the specific hands that make up Q2s and how card removal changes them.
How were the numbers for Q2s 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 Q2s a shove at 10bb heads-up?
- Yes. At 10bb the small blind shoves Q2s: shoving is worth -0.414 big blinds and folding -0.500.
- Should the big blind call a shove with Q2s at 15bb?
- No. At 15bb calling with Q2s is worth -2.925 big blinds against -1.000 for folding, so the chart folds.
- Why does Q2s 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. Q2s shoves every time only up to 12.5bb.