How deep can the small blind shove K6o?
K6o shoves every time as the small blind up to 15bb. At 15bb its shove is worth -0.4958 big blinds against -0.5000 for folding. Past 15bb the chart folds it.
| Stack | Shove frequency | Shove EV | Fold EV | Equity when called |
|---|---|---|---|---|
| 1bb | 100% | +0.084 | -0.500 | 54.2% |
| 2bb | 100% | +0.169 | -0.500 | 54.2% |
| 3bb | 100% | +0.256 | -0.500 | 53.2% |
| 4bb | 100% | +0.297 | -0.500 | 50.5% |
| 5bb | 100% | +0.262 | -0.500 | 47.9% |
| 6bb | 100% | +0.194 | -0.500 | 45.8% |
| 7bb | 100% | +0.127 | -0.500 | 43.9% |
| 8bb | 100% | +0.034 | -0.500 | 42.4% |
| 9bb | 100% | -0.051 | -0.500 | 40.7% |
| 10bb | 100% | -0.144 | -0.500 | 39.2% |
| 11bb | 100% | -0.233 | -0.500 | 38.1% |
| 12bb | 100% | -0.319 | -0.500 | 37.2% |
| 13bb | 100% | -0.372 | -0.500 | 36.5% |
| 14bb | 100% | -0.424 | -0.500 | 36.0% |
| 15bb | 100% | -0.496 | -0.500 | 35.7% |
| 16bb | 0% | -0.531 | -0.500 | 34.8% |
| 17bb | 0% | -0.547 | -0.500 | 34.3% |
| 18bb | 0% | -0.560 | -0.500 | 34.4% |
| 19bb | 0% | -0.584 | -0.500 | 33.9% |
| 20bb | 0% | -0.669 | -0.500 | 32.9% |
When should the big blind call with K6o?
K6o calls every time as the big blind up to 10.5bb. At 10.5bb its call is worth -0.8151 big blinds against -1.0000 for folding. At 10.5bb a call breaks even at 45.2% equity, because the big blind has already posted a full blind that folding gives up. At 11bb it mixes, so either choice is close to break-even at that stack. At that stack the call is worth -1.0000 big blinds, level with the -1.0000 for folding. Past 11bb the chart folds it.
| Stack | Call frequency | Call EV | Fold EV | Equity vs shoves |
|---|---|---|---|---|
| 1bb | 100% | +0.084 | -1.000 | 54.2% |
| 2bb | 100% | +0.112 | -1.000 | 52.8% |
| 3bb | 100% | +0.070 | -1.000 | 51.2% |
| 4bb | 100% | +0.035 | -1.000 | 50.4% |
| 5bb | 100% | -0.007 | -1.000 | 49.9% |
| 6bb | 100% | -0.097 | -1.000 | 49.2% |
| 7bb | 100% | -0.187 | -1.000 | 48.7% |
| 8bb | 100% | -0.400 | -1.000 | 47.5% |
| 9bb | 100% | -0.541 | -1.000 | 47.0% |
| 10bb | 100% | -0.701 | -1.000 | 46.5% |
| 11bb | 55% | -1.000 | -1.000 | 45.5% |
| 12bb | 0% | -1.166 | -1.000 | 45.1% |
| 13bb | 0% | -1.380 | -1.000 | 44.7% |
| 14bb | 0% | -1.758 | -1.000 | 43.7% |
| 15bb | 0% | -2.143 | -1.000 | 42.9% |
| 16bb | 0% | -2.310 | -1.000 | 42.8% |
| 17bb | 0% | -2.555 | -1.000 | 42.5% |
| 18bb | 0% | -2.784 | -1.000 | 42.3% |
| 19bb | 0% | -2.985 | -1.000 | 42.1% |
| 20bb | 0% | -3.218 | -1.000 | 42.0% |
What makes K6o different from similar hands?
K6o is 12 combos out of the 1,326 two-card hands and ranks number 62 of the 169 starting-hand classes by equity against a random hand. From the small blind, K6o shoves every time only up to 15bb, while K6s shoves at every stack from 1 to 20bb. From the big blind, K6o calls cleanly 3.5bb shallower than K6s (10.5bb against 14bb). 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 K6o?
The stack pages show the full shove and call charts at each depth, and the hands closest to K6o in strength, along with K6s, have pages of their own. The combos page counts the specific hands that make up K6o and how card removal changes them.
How were the numbers for K6o 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 K6o a shove at 10bb heads-up?
- Yes. At 10bb the small blind shoves K6o: shoving is worth -0.144 big blinds and folding -0.500.
- Should the big blind call a shove with K6o at 15bb?
- No. At 15bb calling with K6o is worth -2.143 big blinds against -1.000 for folding, so the chart folds.
- Why does K6o 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. K6o shoves every time only up to 15bb.