How deep can the small blind shove K2o?
K2o shoves every time as the small blind up to 11.5bb. At 11.5bb its shove is worth -0.4817 big blinds against -0.5000 for folding. Past 11.5bb the chart folds it.
| Stack | Shove frequency | Shove EV | Fold EV | Equity when called |
|---|---|---|---|---|
| 1bb | 100% | +0.010 | -0.500 | 50.5% |
| 2bb | 100% | +0.020 | -0.500 | 50.5% |
| 3bb | 100% | +0.026 | -0.500 | 49.2% |
| 4bb | 100% | +0.056 | -0.500 | 46.7% |
| 5bb | 100% | +0.040 | -0.500 | 44.5% |
| 6bb | 100% | -0.033 | -0.500 | 42.4% |
| 7bb | 100% | -0.110 | -0.500 | 40.5% |
| 8bb | 100% | -0.210 | -0.500 | 38.9% |
| 9bb | 100% | -0.288 | -0.500 | 37.5% |
| 10bb | 100% | -0.380 | -0.500 | 36.0% |
| 11bb | 100% | -0.451 | -0.500 | 35.4% |
| 12bb | 0% | -0.536 | -0.500 | 34.4% |
| 13bb | 0% | -0.597 | -0.500 | 33.7% |
| 14bb | 0% | -0.655 | -0.500 | 33.2% |
| 15bb | 0% | -0.733 | -0.500 | 32.9% |
| 16bb | 0% | -0.754 | -0.500 | 32.5% |
| 17bb | 0% | -0.753 | -0.500 | 32.2% |
| 18bb | 0% | -0.776 | -0.500 | 32.2% |
| 19bb | 0% | -0.792 | -0.500 | 31.9% |
| 20bb | 0% | -0.887 | -0.500 | 30.9% |
When should the big blind call with K2o?
K2o calls every time as the big blind up to 8bb. At 8bb its call is worth -0.9829 big blinds against -1.0000 for folding. At 8bb a call breaks even at 43.8% equity, because the big blind has already posted a full blind that folding gives up. Past 8bb the chart folds it.
| Stack | Call frequency | Call EV | Fold EV | Equity vs shoves |
|---|---|---|---|---|
| 1bb | 100% | +0.010 | -1.000 | 50.5% |
| 2bb | 100% | -0.043 | -1.000 | 48.9% |
| 3bb | 100% | -0.158 | -1.000 | 47.4% |
| 4bb | 100% | -0.270 | -1.000 | 46.6% |
| 5bb | 100% | -0.392 | -1.000 | 46.1% |
| 6bb | 100% | -0.545 | -1.000 | 45.5% |
| 7bb | 100% | -0.703 | -1.000 | 45.0% |
| 8bb | 100% | -0.983 | -1.000 | 43.9% |
| 9bb | 0% | -1.210 | -1.000 | 43.3% |
| 10bb | 0% | -1.432 | -1.000 | 42.8% |
| 11bb | 0% | -1.791 | -1.000 | 41.9% |
| 12bb | 0% | -1.998 | -1.000 | 41.7% |
| 13bb | 0% | -2.254 | -1.000 | 41.3% |
| 14bb | 0% | -2.668 | -1.000 | 40.5% |
| 15bb | 0% | -3.061 | -1.000 | 39.8% |
| 16bb | 0% | -3.262 | -1.000 | 39.8% |
| 17bb | 0% | -3.568 | -1.000 | 39.5% |
| 18bb | 0% | -3.862 | -1.000 | 39.3% |
| 19bb | 0% | -4.121 | -1.000 | 39.2% |
| 20bb | 0% | -4.370 | -1.000 | 39.1% |
What makes K2o different from similar hands?
K2o is 12 combos out of the 1,326 two-card hands and ranks number 86 of the 169 starting-hand classes by equity against a random hand. From the small blind, K2o shoves cleanly 7.5bb shallower than K2s (11.5bb against 19bb). From the big blind, K2o calls cleanly 2.5bb shallower than K2s (8bb against 10.5bb). 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 K2o?
The stack pages show the full shove and call charts at each depth, and the hands closest to K2o in strength, along with K2s, have pages of their own. The combos page counts the specific hands that make up K2o and how card removal changes them.
How were the numbers for K2o 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 K2o a shove at 10bb heads-up?
- Yes. At 10bb the small blind shoves K2o: shoving is worth -0.380 big blinds and folding -0.500.
- Should the big blind call a shove with K2o at 15bb?
- No. At 15bb calling with K2o is worth -3.061 big blinds against -1.000 for folding, so the chart folds.
- Why does K2o 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. K2o shoves every time only up to 11.5bb.