How deep can the small blind shove 75o?
75o shoves every time as the small blind up to 2.5bb. At 2.5bb its shove is worth -0.4744 big blinds against -0.5000 for folding. Past 2.5bb the chart folds it.
| Stack | Shove frequency | Shove EV | Fold EV | Equity when called |
|---|---|---|---|---|
| 1bb | 100% | -0.190 | -0.500 | 40.5% |
| 2bb | 100% | -0.380 | -0.500 | 40.5% |
| 3bb | 0% | -0.532 | -0.500 | 39.0% |
| 4bb | 0% | -0.572 | -0.500 | 36.2% |
| 5bb | 0% | -0.563 | -0.500 | 35.3% |
| 6bb | 0% | -0.565 | -0.500 | 35.0% |
| 7bb | 0% | -0.555 | -0.500 | 35.0% |
| 8bb | 0% | -0.588 | -0.500 | 34.9% |
| 9bb | 0% | -0.586 | -0.500 | 34.6% |
| 10bb | 0% | -0.595 | -0.500 | 34.3% |
| 11bb | 0% | -0.619 | -0.500 | 34.3% |
| 12bb | 0% | -0.644 | -0.500 | 34.1% |
| 13bb | 0% | -0.646 | -0.500 | 34.2% |
| 14bb | 0% | -0.656 | -0.500 | 34.2% |
| 15bb | 0% | -0.711 | -0.500 | 34.1% |
| 16bb | 0% | -0.717 | -0.500 | 33.6% |
| 17bb | 0% | -0.730 | -0.500 | 33.2% |
| 18bb | 0% | -0.747 | -0.500 | 33.0% |
| 19bb | 0% | -0.770 | -0.500 | 32.7% |
| 20bb | 0% | -0.784 | -0.500 | 32.6% |
When should the big blind call with 75o?
75o calls every time as the big blind up to 3.5bb. At 3.5bb its call is worth -0.9669 big blinds against -1.0000 for folding. At 3.5bb a call breaks even at 35.7% equity, because the big blind has already posted a full blind that folding gives up. Past 3.5bb the chart folds it.
| Stack | Call frequency | Call EV | Fold EV | Equity vs shoves |
|---|---|---|---|---|
| 1bb | 100% | -0.190 | -1.000 | 40.5% |
| 2bb | 100% | -0.470 | -1.000 | 38.3% |
| 3bb | 100% | -0.822 | -1.000 | 36.3% |
| 4bb | 0% | -1.108 | -1.000 | 36.1% |
| 5bb | 0% | -1.378 | -1.000 | 36.2% |
| 6bb | 0% | -1.686 | -1.000 | 36.0% |
| 7bb | 0% | -1.956 | -1.000 | 36.0% |
| 8bb | 0% | -2.341 | -1.000 | 35.4% |
| 9bb | 0% | -2.597 | -1.000 | 35.6% |
| 10bb | 0% | -2.881 | -1.000 | 35.6% |
| 11bb | 0% | -3.192 | -1.000 | 35.5% |
| 12bb | 0% | -3.517 | -1.000 | 35.3% |
| 13bb | 0% | -3.895 | -1.000 | 35.0% |
| 14bb | 0% | -4.294 | -1.000 | 34.7% |
| 15bb | 0% | -4.547 | -1.000 | 34.8% |
| 16bb | 0% | -4.879 | -1.000 | 34.8% |
| 17bb | 0% | -5.223 | -1.000 | 34.6% |
| 18bb | 0% | -5.530 | -1.000 | 34.6% |
| 19bb | 0% | -5.852 | -1.000 | 34.6% |
| 20bb | 0% | -6.205 | -1.000 | 34.5% |
What makes 75o different from similar hands?
75o is 12 combos out of the 1,326 two-card hands and ranks number 141 of the 169 starting-hand classes by equity against a random hand. From the small blind, 75o shoves every time only up to 2.5bb, while 75s shoves at every stack from 1 to 20bb. From the big blind, 75o calls cleanly 1bb shallower than 75s (3.5bb against 4.5bb). 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 75o?
The stack pages show the full shove and call charts at each depth, and the hands closest to 75o in strength, along with 75s, have pages of their own. The combos page counts the specific hands that make up 75o and how card removal changes them.
How were the numbers for 75o 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 75o a shove at 10bb heads-up?
- No. At 10bb the small blind folds 75o: shoving is worth -0.595 big blinds and folding -0.500.
- Should the big blind call a shove with 75o at 15bb?
- No. At 15bb calling with 75o is worth -4.547 big blinds against -1.000 for folding, so the chart folds.
- Why does 75o 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. 75o shoves every time only up to 2.5bb.