How deep can the small blind shove T4o?
T4o shoves every time as the small blind up to 3.5bb. At 3.5bb its shove is worth -0.4647 big blinds against -0.5000 for folding. Past 3.5bb the chart folds it.
| Stack | Shove frequency | Shove EV | Fold EV | Equity when called |
|---|---|---|---|---|
| 1bb | 100% | -0.130 | -0.500 | 43.5% |
| 2bb | 100% | -0.260 | -0.500 | 43.5% |
| 3bb | 100% | -0.378 | -0.500 | 41.7% |
| 4bb | 0% | -0.521 | -0.500 | 37.1% |
| 5bb | 0% | -0.604 | -0.500 | 34.6% |
| 6bb | 0% | -0.653 | -0.500 | 33.4% |
| 7bb | 0% | -0.686 | -0.500 | 32.9% |
| 8bb | 0% | -0.736 | -0.500 | 32.5% |
| 9bb | 0% | -0.751 | -0.500 | 32.0% |
| 10bb | 0% | -0.757 | -0.500 | 32.0% |
| 11bb | 0% | -0.792 | -0.500 | 31.7% |
| 12bb | 0% | -0.826 | -0.500 | 31.5% |
| 13bb | 0% | -0.834 | -0.500 | 31.5% |
| 14bb | 0% | -0.857 | -0.500 | 31.3% |
| 15bb | 0% | -0.922 | -0.500 | 31.3% |
| 16bb | 0% | -0.925 | -0.500 | 30.9% |
| 17bb | 0% | -0.936 | -0.500 | 30.4% |
| 18bb | 0% | -0.963 | -0.500 | 30.2% |
| 19bb | 0% | -0.961 | -0.500 | 30.4% |
| 20bb | 0% | -0.966 | -0.500 | 30.4% |
When should the big blind call with T4o?
T4o calls every time as the big blind up to 3.5bb. At 3.5bb its call is worth -0.8865 big blinds against -1.0000 for folding. At 3.5bb a call breaks even at 35.7% equity, because the big blind has already posted a full blind that folding gives up. Past 3.5bb the chart folds it.
| Stack | Call frequency | Call EV | Fold EV | Equity vs shoves |
|---|---|---|---|---|
| 1bb | 100% | -0.130 | -1.000 | 43.5% |
| 2bb | 100% | -0.361 | -1.000 | 41.0% |
| 3bb | 100% | -0.726 | -1.000 | 37.9% |
| 4bb | 0% | -1.043 | -1.000 | 37.0% |
| 5bb | 0% | -1.331 | -1.000 | 36.7% |
| 6bb | 0% | -1.613 | -1.000 | 36.6% |
| 7bb | 0% | -1.882 | -1.000 | 36.6% |
| 8bb | 0% | -2.258 | -1.000 | 35.9% |
| 9bb | 0% | -2.517 | -1.000 | 36.0% |
| 10bb | 0% | -2.779 | -1.000 | 36.1% |
| 11bb | 0% | -3.268 | -1.000 | 35.1% |
| 12bb | 0% | -3.603 | -1.000 | 35.0% |
| 13bb | 0% | -3.973 | -1.000 | 34.7% |
| 14bb | 0% | -4.283 | -1.000 | 34.7% |
| 15bb | 0% | -4.770 | -1.000 | 34.1% |
| 16bb | 0% | -5.108 | -1.000 | 34.0% |
| 17bb | 0% | -5.485 | -1.000 | 33.9% |
| 18bb | 0% | -5.803 | -1.000 | 33.9% |
| 19bb | 0% | -6.216 | -1.000 | 33.6% |
| 20bb | 0% | -6.576 | -1.000 | 33.6% |
What makes T4o different from similar hands?
T4o is 12 combos out of the 1,326 two-card hands and ranks number 125 of the 169 starting-hand classes by equity against a random hand. From the small blind, T4o shoves cleanly 7bb shallower than T4s (3.5bb against 10.5bb). From the big blind, T4o calls cleanly 1.5bb shallower than T4s (3.5bb against 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 T4o?
The stack pages show the full shove and call charts at each depth, and the hands closest to T4o in strength, along with T4s, have pages of their own. The combos page counts the specific hands that make up T4o and how card removal changes them.
How were the numbers for T4o 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 T4o a shove at 10bb heads-up?
- No. At 10bb the small blind folds T4o: shoving is worth -0.757 big blinds and folding -0.500.
- Should the big blind call a shove with T4o at 15bb?
- No. At 15bb calling with T4o is worth -4.770 big blinds against -1.000 for folding, so the chart folds.
- Why does T4o 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. T4o shoves every time only up to 3.5bb.