How deep can the small blind shove 93s?
93s shoves every time as the small blind up to 4bb. At 4bb its shove is worth -0.4786 big blinds against -0.5000 for folding. At 4.5bb it mixes, so either choice is close to break-even at that stack. At that stack the shove is worth -0.5000 big blinds, level with the -0.5000 for folding. Past 4.5bb the chart folds it.
| Stack | Shove frequency | Shove EV | Fold EV | Equity when called |
|---|---|---|---|---|
| 1bb | 100% | -0.135 | -0.500 | 43.3% |
| 2bb | 100% | -0.269 | -0.500 | 43.3% |
| 3bb | 100% | -0.405 | -0.500 | 41.4% |
| 4bb | 100% | -0.479 | -0.500 | 38.0% |
| 5bb | 0% | -0.509 | -0.500 | 36.1% |
| 6bb | 0% | -0.520 | -0.500 | 35.6% |
| 7bb | 0% | -0.528 | -0.500 | 35.2% |
| 8bb | 0% | -0.565 | -0.500 | 34.9% |
| 9bb | 0% | -0.560 | -0.500 | 34.7% |
| 10bb | 0% | -0.569 | -0.500 | 34.6% |
| 11bb | 0% | -0.602 | -0.500 | 34.3% |
| 12bb | 0% | -0.623 | -0.500 | 34.4% |
| 13bb | 0% | -0.631 | -0.500 | 34.2% |
| 14bb | 0% | -0.653 | -0.500 | 34.0% |
| 15bb | 0% | -0.710 | -0.500 | 33.9% |
| 16bb | 0% | -0.718 | -0.500 | 33.3% |
| 17bb | 0% | -0.705 | -0.500 | 33.4% |
| 18bb | 0% | -0.718 | -0.500 | 33.5% |
| 19bb | 0% | -0.730 | -0.500 | 33.3% |
| 20bb | 0% | -0.740 | -0.500 | 33.2% |
When should the big blind call with 93s?
93s calls every time as the big blind up to 4bb. At 4bb its call is worth -0.9695 big blinds against -1.0000 for folding. At 4bb a call breaks even at 37.5% equity, because the big blind has already posted a full blind that folding gives up. Past 4bb the chart folds it.
| Stack | Call frequency | Call EV | Fold EV | Equity vs shoves |
|---|---|---|---|---|
| 1bb | 100% | -0.135 | -1.000 | 43.3% |
| 2bb | 100% | -0.374 | -1.000 | 40.7% |
| 3bb | 100% | -0.705 | -1.000 | 38.3% |
| 4bb | 100% | -0.969 | -1.000 | 37.9% |
| 5bb | 0% | -1.213 | -1.000 | 37.9% |
| 6bb | 0% | -1.457 | -1.000 | 37.9% |
| 7bb | 0% | -1.705 | -1.000 | 37.8% |
| 8bb | 0% | -2.038 | -1.000 | 37.3% |
| 9bb | 0% | -2.291 | -1.000 | 37.3% |
| 10bb | 0% | -2.543 | -1.000 | 37.3% |
| 11bb | 0% | -2.923 | -1.000 | 36.7% |
| 12bb | 0% | -3.227 | -1.000 | 36.6% |
| 13bb | 0% | -3.516 | -1.000 | 36.5% |
| 14bb | 0% | -3.856 | -1.000 | 36.2% |
| 15bb | 0% | -4.299 | -1.000 | 35.7% |
| 16bb | 0% | -4.617 | -1.000 | 35.6% |
| 17bb | 0% | -5.001 | -1.000 | 35.3% |
| 18bb | 0% | -5.304 | -1.000 | 35.3% |
| 19bb | 0% | -5.711 | -1.000 | 35.0% |
| 20bb | 0% | -6.018 | -1.000 | 35.0% |
What makes 93s different from similar hands?
93s is 4 combos out of the 1,326 two-card hands and ranks number 126 of the 169 starting-hand classes by equity against a random hand. From the small blind, 93s shoves cleanly 1.5bb deeper than 93o (4bb against 2.5bb). From the big blind, 93s calls cleanly 1bb deeper than 93o (4bb against 3bb). 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 93s?
The stack pages show the full shove and call charts at each depth, and the hands closest to 93s in strength, along with 93o, have pages of their own. The combos page counts the specific hands that make up 93s and how card removal changes them.
How were the numbers for 93s 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 93s a shove at 10bb heads-up?
- No. At 10bb the small blind folds 93s: shoving is worth -0.569 big blinds and folding -0.500.
- Should the big blind call a shove with 93s at 15bb?
- No. At 15bb calling with 93s is worth -4.299 big blinds against -1.000 for folding, so the chart folds.
- Why does 93s 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. 93s shoves every time only up to 4bb.