How deep can the small blind shove T4s?
T4s shoves every time as the small blind up to 10.5bb. At 10.5bb its shove is worth -0.4991 big blinds against -0.5000 for folding. Past 10.5bb the chart folds it.
| Stack | Shove frequency | Shove EV | Fold EV | Equity when called |
|---|---|---|---|---|
| 1bb | 100% | -0.069 | -0.500 | 46.5% |
| 2bb | 100% | -0.139 | -0.500 | 46.5% |
| 3bb | 100% | -0.205 | -0.500 | 44.8% |
| 4bb | 100% | -0.317 | -0.500 | 40.5% |
| 5bb | 100% | -0.380 | -0.500 | 38.1% |
| 6bb | 100% | -0.414 | -0.500 | 37.0% |
| 7bb | 100% | -0.434 | -0.500 | 36.5% |
| 8bb | 100% | -0.470 | -0.500 | 36.2% |
| 9bb | 100% | -0.479 | -0.500 | 35.7% |
| 10bb | 100% | -0.479 | -0.500 | 35.6% |
| 11bb | 0% | -0.504 | -0.500 | 35.4% |
| 12bb | 0% | -0.530 | -0.500 | 35.2% |
| 13bb | 0% | -0.534 | -0.500 | 35.2% |
| 14bb | 0% | -0.551 | -0.500 | 35.0% |
| 15bb | 0% | -0.602 | -0.500 | 35.0% |
| 16bb | 0% | -0.605 | -0.500 | 34.6% |
| 17bb | 0% | -0.618 | -0.500 | 34.1% |
| 18bb | 0% | -0.640 | -0.500 | 33.9% |
| 19bb | 0% | -0.635 | -0.500 | 34.1% |
| 20bb | 0% | -0.638 | -0.500 | 34.1% |
When should the big blind call with T4s?
T4s calls every time as the big blind up to 5bb. At 5bb its call is worth -0.9862 big blinds against -1.0000 for folding. At 5bb a call breaks even at 40.0% equity, because the big blind has already posted a full blind that folding gives up. Past 5bb the chart folds it.
| Stack | Call frequency | Call EV | Fold EV | Equity vs shoves |
|---|---|---|---|---|
| 1bb | 100% | -0.069 | -1.000 | 46.5% |
| 2bb | 100% | -0.233 | -1.000 | 44.2% |
| 3bb | 100% | -0.524 | -1.000 | 41.3% |
| 4bb | 100% | -0.768 | -1.000 | 40.4% |
| 5bb | 100% | -0.986 | -1.000 | 40.1% |
| 6bb | 0% | -1.199 | -1.000 | 40.0% |
| 7bb | 0% | -1.400 | -1.000 | 40.0% |
| 8bb | 0% | -1.701 | -1.000 | 39.4% |
| 9bb | 0% | -1.894 | -1.000 | 39.5% |
| 10bb | 0% | -2.089 | -1.000 | 39.6% |
| 11bb | 0% | -2.499 | -1.000 | 38.6% |
| 12bb | 0% | -2.763 | -1.000 | 38.5% |
| 13bb | 0% | -3.060 | -1.000 | 38.2% |
| 14bb | 0% | -3.301 | -1.000 | 38.2% |
| 15bb | 0% | -3.710 | -1.000 | 37.6% |
| 16bb | 0% | -3.978 | -1.000 | 37.6% |
| 17bb | 0% | -4.283 | -1.000 | 37.4% |
| 18bb | 0% | -4.531 | -1.000 | 37.4% |
| 19bb | 0% | -4.872 | -1.000 | 37.2% |
| 20bb | 0% | -5.156 | -1.000 | 37.1% |
What makes T4s different from similar hands?
T4s is 4 combos out of the 1,326 two-card hands and ranks number 108 of the 169 starting-hand classes by equity against a random hand. From the small blind, T4s shoves cleanly 7bb deeper than T4o (10.5bb against 3.5bb). From the big blind, T4s calls cleanly 1.5bb deeper than T4o (5bb against 3.5bb). Suited hands win more often because of flushes, which is why the suited version is the more playable of the pair.
Where can I check other hands like T4s?
The stack pages show the full shove and call charts at each depth, and the hands closest to T4s in strength, along with T4o, have pages of their own. The combos page counts the specific hands that make up T4s and how card removal changes them.
How were the numbers for T4s 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 T4s a shove at 10bb heads-up?
- Yes. At 10bb the small blind shoves T4s: shoving is worth -0.479 big blinds and folding -0.500.
- Should the big blind call a shove with T4s at 15bb?
- No. At 15bb calling with T4s is worth -3.710 big blinds against -1.000 for folding, so the chart folds.
- Why does T4s 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. T4s shoves every time only up to 10.5bb.