How deep can the small blind shove K8s?
K8s 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% | +0.166 | -0.500 | 58.3% |
| 2bb | 100% | +0.332 | -0.500 | 58.3% |
| 3bb | 100% | +0.486 | -0.500 | 57.4% |
| 4bb | 100% | +0.568 | -0.500 | 55.1% |
| 5bb | 100% | +0.580 | -0.500 | 53.1% |
| 6bb | 100% | +0.562 | -0.500 | 51.4% |
| 7bb | 100% | +0.506 | -0.500 | 49.6% |
| 8bb | 100% | +0.448 | -0.500 | 48.3% |
| 9bb | 100% | +0.368 | -0.500 | 46.5% |
| 10bb | 100% | +0.276 | -0.500 | 45.0% |
| 11bb | 100% | +0.187 | -0.500 | 43.7% |
| 12bb | 100% | +0.109 | -0.500 | 42.6% |
| 13bb | 100% | +0.019 | -0.500 | 41.3% |
| 14bb | 100% | -0.054 | -0.500 | 40.5% |
| 15bb | 100% | -0.121 | -0.500 | 40.1% |
| 16bb | 100% | -0.172 | -0.500 | 39.1% |
| 17bb | 100% | -0.185 | -0.500 | 38.7% |
| 18bb | 100% | -0.200 | -0.500 | 38.6% |
| 19bb | 100% | -0.222 | -0.500 | 38.2% |
| 20bb | 100% | -0.298 | -0.500 | 37.3% |
When should the big blind call with K8s?
K8s calls every time as the big blind up to 17.5bb. At 17.5bb its call is worth -0.9159 big blinds against -1.0000 for folding. At 17.5bb a call breaks even at 47.1% equity, because the big blind has already posted a full blind that folding gives up. Past 17.5bb the chart folds it.
| Stack | Call frequency | Call EV | Fold EV | Equity vs shoves |
|---|---|---|---|---|
| 1bb | 100% | +0.166 | -1.000 | 58.3% |
| 2bb | 100% | +0.283 | -1.000 | 57.1% |
| 3bb | 100% | +0.342 | -1.000 | 55.7% |
| 4bb | 100% | +0.406 | -1.000 | 55.1% |
| 5bb | 100% | +0.473 | -1.000 | 54.7% |
| 6bb | 100% | +0.507 | -1.000 | 54.2% |
| 7bb | 100% | +0.539 | -1.000 | 53.9% |
| 8bb | 100% | +0.468 | -1.000 | 52.9% |
| 9bb | 100% | +0.448 | -1.000 | 52.5% |
| 10bb | 100% | +0.428 | -1.000 | 52.1% |
| 11bb | 100% | +0.268 | -1.000 | 51.2% |
| 12bb | 100% | +0.213 | -1.000 | 50.9% |
| 13bb | 100% | +0.107 | -1.000 | 50.4% |
| 14bb | 100% | -0.194 | -1.000 | 49.3% |
| 15bb | 100% | -0.500 | -1.000 | 48.3% |
| 16bb | 100% | -0.638 | -1.000 | 48.0% |
| 17bb | 100% | -0.926 | -1.000 | 47.3% |
| 18bb | 0% | -1.078 | -1.000 | 47.0% |
| 19bb | 0% | -1.257 | -1.000 | 46.7% |
| 20bb | 0% | -1.417 | -1.000 | 46.5% |
What makes K8s different from similar hands?
K8s is 4 combos out of the 1,326 two-card hands and ranks number 37 of the 169 starting-hand classes by equity against a random hand. From the small blind, K8s shoves at every stack from 1 to 20bb, while K8o shoves every time only up to 18bb. From the big blind, K8s calls cleanly 4bb deeper than K8o (17.5bb against 13.5bb). 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 K8s?
The stack pages show the full shove and call charts at each depth, and the hands closest to K8s in strength, along with K8o, have pages of their own. The combos page counts the specific hands that make up K8s and how card removal changes them.
How were the numbers for K8s 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 K8s a shove at 10bb heads-up?
- Yes. At 10bb the small blind shoves K8s: shoving is worth +0.276 big blinds and folding -0.500.
- Should the big blind call a shove with K8s at 15bb?
- Yes. At 15bb calling with K8s is worth -0.500 big blinds against -1.000 for folding, so the chart calls.
- Does K8s ever fold heads-up at 20bb or less?
- Not from the small blind: K8s shoves at every stack from 1 to 20bb. As the big blind it calls cleanly up to 17.5bb and folds or mixes deeper.