How deep can the small blind shove Q5o?
Q5o shoves every time as the small blind up to 8.5bb. At 8.5bb its shove is worth -0.4696 big blinds against -0.5000 for folding. Past 8.5bb the chart folds it.
| Stack | Shove frequency | Shove EV | Fold EV | Equity when called |
|---|---|---|---|---|
| 1bb | 100% | +0.002 | -0.500 | 50.1% |
| 2bb | 100% | +0.005 | -0.500 | 50.1% |
| 3bb | 100% | +0.014 | -0.500 | 48.8% |
| 4bb | 100% | -0.038 | -0.500 | 44.9% |
| 5bb | 100% | -0.128 | -0.500 | 41.6% |
| 6bb | 100% | -0.245 | -0.500 | 39.1% |
| 7bb | 100% | -0.356 | -0.500 | 37.2% |
| 8bb | 100% | -0.449 | -0.500 | 36.1% |
| 9bb | 0% | -0.501 | -0.500 | 35.0% |
| 10bb | 0% | -0.557 | -0.500 | 34.2% |
| 11bb | 0% | -0.585 | -0.500 | 34.1% |
| 12bb | 0% | -0.617 | -0.500 | 34.0% |
| 13bb | 0% | -0.668 | -0.500 | 33.2% |
| 14bb | 0% | -0.700 | -0.500 | 33.0% |
| 15bb | 0% | -0.756 | -0.500 | 33.0% |
| 16bb | 0% | -0.753 | -0.500 | 32.6% |
| 17bb | 0% | -0.755 | -0.500 | 32.3% |
| 18bb | 0% | -0.777 | -0.500 | 32.1% |
| 19bb | 0% | -0.810 | -0.500 | 31.6% |
| 20bb | 0% | -0.820 | -0.500 | 31.7% |
When should the big blind call with Q5o?
Q5o calls every time as the big blind up to 6.5bb. At 6.5bb its call is worth -0.8970 big blinds against -1.0000 for folding. At 6.5bb a call breaks even at 42.3% equity, because the big blind has already posted a full blind that folding gives up. Past 6.5bb the chart folds it.
| Stack | Call frequency | Call EV | Fold EV | Equity vs shoves |
|---|---|---|---|---|
| 1bb | 100% | +0.002 | -1.000 | 50.1% |
| 2bb | 100% | -0.069 | -1.000 | 48.3% |
| 3bb | 100% | -0.243 | -1.000 | 46.0% |
| 4bb | 100% | -0.414 | -1.000 | 44.8% |
| 5bb | 100% | -0.583 | -1.000 | 44.2% |
| 6bb | 100% | -0.807 | -1.000 | 43.3% |
| 7bb | 0% | -1.032 | -1.000 | 42.6% |
| 8bb | 0% | -1.338 | -1.000 | 41.6% |
| 9bb | 0% | -1.577 | -1.000 | 41.2% |
| 10bb | 0% | -1.791 | -1.000 | 41.0% |
| 11bb | 0% | -2.170 | -1.000 | 40.1% |
| 12bb | 0% | -2.407 | -1.000 | 40.0% |
| 13bb | 0% | -2.675 | -1.000 | 39.7% |
| 14bb | 0% | -3.001 | -1.000 | 39.3% |
| 15bb | 0% | -3.389 | -1.000 | 38.7% |
| 16bb | 0% | -3.594 | -1.000 | 38.8% |
| 17bb | 0% | -3.930 | -1.000 | 38.4% |
| 18bb | 0% | -4.254 | -1.000 | 38.2% |
| 19bb | 0% | -4.593 | -1.000 | 37.9% |
| 20bb | 0% | -4.839 | -1.000 | 37.9% |
What makes Q5o different from similar hands?
Q5o is 12 combos out of the 1,326 two-card hands and ranks number 89 of the 169 starting-hand classes by equity against a random hand. From the small blind, Q5o shoves cleanly 10.5bb shallower than Q5s (8.5bb against 19bb). From the big blind, Q5o calls cleanly 2bb shallower than Q5s (6.5bb against 8.5bb). 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 Q5o?
The stack pages show the full shove and call charts at each depth, and the hands closest to Q5o in strength, along with Q5s, have pages of their own. The combos page counts the specific hands that make up Q5o and how card removal changes them.
How were the numbers for Q5o computed?
We solve a chips-only game for two players: small blind 0.5, big blind 1, no ante, equal stacks. Starting hands are the 169 classes, weighted so that shared cards are impossible, and equity comes from counting every five-card board. The solver plays itself with best responses, averages them, and fixes the hands on the edge so they are exactly indifferent.
Source: GeorgeLiPoker's own heads-up solver, run on its exact preflop equity table.
Questions
- Is Q5o a shove at 10bb heads-up?
- No. At 10bb the small blind folds Q5o: shoving is worth -0.557 big blinds and folding -0.500.
- Should the big blind call a shove with Q5o at 15bb?
- No. At 15bb calling with Q5o is worth -3.389 big blinds against -1.000 for folding, so the chart folds.
- Why does Q5o 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. Q5o shoves every time only up to 8.5bb.