How deep can the small blind shove K4o?
K4o shoves every time as the small blind up to 13bb. At 13bb its shove is worth -0.4890 big blinds against -0.5000 for folding. Past 13bb the chart folds it.
| Stack | Shove frequency | Shove EV | Fold EV | Equity when called |
|---|---|---|---|---|
| 1bb | 100% | +0.047 | -0.500 | 52.3% |
| 2bb | 100% | +0.093 | -0.500 | 52.3% |
| 3bb | 100% | +0.150 | -0.500 | 51.3% |
| 4bb | 100% | +0.154 | -0.500 | 48.2% |
| 5bb | 100% | +0.125 | -0.500 | 45.8% |
| 6bb | 100% | +0.064 | -0.500 | 43.8% |
| 7bb | 100% | -0.022 | -0.500 | 41.8% |
| 8bb | 100% | -0.111 | -0.500 | 40.3% |
| 9bb | 100% | -0.196 | -0.500 | 38.7% |
| 10bb | 100% | -0.287 | -0.500 | 37.3% |
| 11bb | 100% | -0.351 | -0.500 | 36.6% |
| 12bb | 100% | -0.431 | -0.500 | 35.7% |
| 13bb | 100% | -0.489 | -0.500 | 35.1% |
| 14bb | 0% | -0.540 | -0.500 | 34.6% |
| 15bb | 0% | -0.611 | -0.500 | 34.3% |
| 16bb | 0% | -0.648 | -0.500 | 33.4% |
| 17bb | 0% | -0.663 | -0.500 | 32.9% |
| 18bb | 0% | -0.682 | -0.500 | 32.9% |
| 19bb | 0% | -0.681 | -0.500 | 33.0% |
| 20bb | 0% | -0.771 | -0.500 | 32.0% |
When should the big blind call with K4o?
K4o calls every time as the big blind up to 9bb. At 9bb its call is worth -0.9424 big blinds against -1.0000 for folding. At 9bb a call breaks even at 44.4% equity, because the big blind has already posted a full blind that folding gives up. Past 9bb the chart folds it.
| Stack | Call frequency | Call EV | Fold EV | Equity vs shoves |
|---|---|---|---|---|
| 1bb | 100% | +0.047 | -1.000 | 52.3% |
| 2bb | 100% | +0.033 | -1.000 | 50.8% |
| 3bb | 100% | -0.062 | -1.000 | 49.0% |
| 4bb | 100% | -0.146 | -1.000 | 48.2% |
| 5bb | 100% | -0.225 | -1.000 | 47.7% |
| 6bb | 100% | -0.363 | -1.000 | 47.0% |
| 7bb | 100% | -0.482 | -1.000 | 46.6% |
| 8bb | 100% | -0.754 | -1.000 | 45.3% |
| 9bb | 100% | -0.942 | -1.000 | 44.8% |
| 10bb | 0% | -1.125 | -1.000 | 44.4% |
| 11bb | 0% | -1.475 | -1.000 | 43.3% |
| 12bb | 0% | -1.666 | -1.000 | 43.1% |
| 13bb | 0% | -1.909 | -1.000 | 42.7% |
| 14bb | 0% | -2.322 | -1.000 | 41.7% |
| 15bb | 0% | -2.683 | -1.000 | 41.1% |
| 16bb | 0% | -2.851 | -1.000 | 41.1% |
| 17bb | 0% | -3.156 | -1.000 | 40.7% |
| 18bb | 0% | -3.422 | -1.000 | 40.5% |
| 19bb | 0% | -3.650 | -1.000 | 40.4% |
| 20bb | 0% | -3.897 | -1.000 | 40.3% |
What makes K4o different from similar hands?
K4o is 12 combos out of the 1,326 two-card hands and ranks number 74 of the 169 starting-hand classes by equity against a random hand. From the small blind, K4o shoves every time only up to 13bb, while K4s shoves at every stack from 1 to 20bb. From the big blind, K4o calls cleanly 3bb shallower than K4s (9bb against 12bb). 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 K4o?
The stack pages show the full shove and call charts at each depth, and the hands closest to K4o in strength, along with K4s, have pages of their own. The combos page counts the specific hands that make up K4o and how card removal changes them.
How were the numbers for K4o 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 K4o a shove at 10bb heads-up?
- Yes. At 10bb the small blind shoves K4o: shoving is worth -0.287 big blinds and folding -0.500.
- Should the big blind call a shove with K4o at 15bb?
- No. At 15bb calling with K4o is worth -2.683 big blinds against -1.000 for folding, so the chart folds.
- Why does K4o 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. K4o shoves every time only up to 13bb.