How deep can the small blind shove K9o?
K9o 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% | +0.156 | -0.500 | 57.8% |
| 2bb | 100% | +0.312 | -0.500 | 57.8% |
| 3bb | 100% | +0.468 | -0.500 | 57.0% |
| 4bb | 100% | +0.546 | -0.500 | 54.7% |
| 5bb | 100% | +0.565 | -0.500 | 52.8% |
| 6bb | 100% | +0.545 | -0.500 | 51.1% |
| 7bb | 100% | +0.501 | -0.500 | 49.5% |
| 8bb | 100% | +0.456 | -0.500 | 48.3% |
| 9bb | 100% | +0.361 | -0.500 | 46.4% |
| 10bb | 100% | +0.264 | -0.500 | 44.7% |
| 11bb | 100% | +0.176 | -0.500 | 43.4% |
| 12bb | 100% | +0.069 | -0.500 | 42.0% |
| 13bb | 100% | -0.027 | -0.500 | 40.7% |
| 14bb | 100% | -0.134 | -0.500 | 39.4% |
| 15bb | 100% | -0.214 | -0.500 | 38.9% |
| 16bb | 100% | -0.262 | -0.500 | 37.8% |
| 17bb | 100% | -0.289 | -0.500 | 37.3% |
| 18bb | 100% | -0.358 | -0.500 | 36.7% |
| 19bb | 100% | -0.379 | -0.500 | 36.3% |
| 20bb | 100% | -0.460 | -0.500 | 35.3% |
When should the big blind call with K9o?
K9o calls every time as the big blind up to 16.5bb. At 16.5bb its call is worth -0.9697 big blinds against -1.0000 for folding. At 16.5bb a call breaks even at 47.0% equity, because the big blind has already posted a full blind that folding gives up. Between 17bb and 17.5bb it mixes, so either choice is close to break-even there. In that zone the call is worth -1.0000 big blinds, level with the -1.0000 for folding. Past 17.5bb the chart folds it.
| Stack | Call frequency | Call EV | Fold EV | Equity vs shoves |
|---|---|---|---|---|
| 1bb | 100% | +0.156 | -1.000 | 57.8% |
| 2bb | 100% | +0.270 | -1.000 | 56.8% |
| 3bb | 100% | +0.322 | -1.000 | 55.4% |
| 4bb | 100% | +0.376 | -1.000 | 54.7% |
| 5bb | 100% | +0.426 | -1.000 | 54.3% |
| 6bb | 100% | +0.448 | -1.000 | 53.7% |
| 7bb | 100% | +0.473 | -1.000 | 53.4% |
| 8bb | 100% | +0.408 | -1.000 | 52.6% |
| 9bb | 100% | +0.383 | -1.000 | 52.1% |
| 10bb | 100% | +0.357 | -1.000 | 51.8% |
| 11bb | 100% | +0.188 | -1.000 | 50.9% |
| 12bb | 100% | +0.121 | -1.000 | 50.5% |
| 13bb | 100% | +0.011 | -1.000 | 50.0% |
| 14bb | 100% | -0.261 | -1.000 | 49.1% |
| 15bb | 100% | -0.563 | -1.000 | 48.1% |
| 16bb | 100% | -0.715 | -1.000 | 47.8% |
| 17bb | 77% | -1.000 | -1.000 | 47.1% |
| 18bb | 0% | -1.138 | -1.000 | 46.8% |
| 19bb | 0% | -1.449 | -1.000 | 46.2% |
| 20bb | 0% | -1.630 | -1.000 | 45.9% |
What makes K9o different from similar hands?
K9o is 12 combos out of the 1,326 two-card hands and ranks number 40 of the 169 starting-hand classes by equity against a random hand. From the small blind, K9o and K9s both shove at every stack from 1 to 20bb. From the big blind, K9o calls every time only up to 16.5bb, while K9s calls at every stack from 1 to 20bb. 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 K9o?
The stack pages show the full shove and call charts at each depth, and the hands closest to K9o in strength have pages of their own. The combos page counts the specific hands that make up K9o and how card removal changes them.
How were the numbers for K9o computed?
Both players hold one of the 169 starting-hand classes, weighted by the pairs of specific hands that share no card, so blockers count. Blinds are 0.5 and 1 with no ante and equal stacks. Each pair of classes is scored with its exact equity over every five-card board, and the solver repeats best responses against the other side's running average until the hands on the edge are made exactly indifferent.
Source: GeorgeLiPoker's own heads-up solver, run on its exact preflop equity table.
Questions
- Is K9o a shove at 10bb heads-up?
- Yes. At 10bb the small blind shoves K9o: shoving is worth +0.264 big blinds and folding -0.500.
- Should the big blind call a shove with K9o at 15bb?
- Yes. At 15bb calling with K9o is worth -0.563 big blinds against -1.000 for folding, so the chart calls.
- Does K9o ever fold heads-up at 20bb or less?
- Not from the small blind: K9o shoves at every stack from 1 to 20bb. As the big blind it calls cleanly up to 16.5bb and folds or mixes deeper.