How deep can the small blind shove T5s?
T5s shoves every time as the small blind up to 11bb. At 11bb its shove is worth -0.4779 big blinds against -0.5000 for folding. At 11.5bb it mixes, so either choice is close to break-even at that stack. At that stack the shove is worth -0.5000 big blinds, level with the -0.5000 for folding. Past 11.5bb the chart folds it.
| Stack | Shove frequency | Shove EV | Fold EV | Equity when called |
|---|---|---|---|---|
| 1bb | 100% | -0.056 | -0.500 | 47.2% |
| 2bb | 100% | -0.111 | -0.500 | 47.2% |
| 3bb | 100% | -0.166 | -0.500 | 45.5% |
| 4bb | 100% | -0.283 | -0.500 | 41.0% |
| 5bb | 100% | -0.355 | -0.500 | 38.4% |
| 6bb | 100% | -0.388 | -0.500 | 37.4% |
| 7bb | 100% | -0.411 | -0.500 | 36.8% |
| 8bb | 100% | -0.444 | -0.500 | 36.5% |
| 9bb | 100% | -0.452 | -0.500 | 36.0% |
| 10bb | 100% | -0.463 | -0.500 | 35.7% |
| 11bb | 100% | -0.478 | -0.500 | 35.7% |
| 12bb | 0% | -0.502 | -0.500 | 35.5% |
| 13bb | 0% | -0.508 | -0.500 | 35.5% |
| 14bb | 0% | -0.520 | -0.500 | 35.4% |
| 15bb | 0% | -0.568 | -0.500 | 35.4% |
| 16bb | 0% | -0.569 | -0.500 | 35.0% |
| 17bb | 0% | -0.580 | -0.500 | 34.5% |
| 18bb | 0% | -0.600 | -0.500 | 34.3% |
| 19bb | 0% | -0.621 | -0.500 | 34.0% |
| 20bb | 0% | -0.624 | -0.500 | 34.0% |
When should the big blind call with T5s?
T5s calls every time as the big blind up to 5bb. At 5bb its call is worth -0.9371 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% | -0.056 | -1.000 | 47.2% |
| 2bb | 100% | -0.205 | -1.000 | 44.9% |
| 3bb | 100% | -0.483 | -1.000 | 41.9% |
| 4bb | 100% | -0.730 | -1.000 | 40.9% |
| 5bb | 100% | -0.937 | -1.000 | 40.6% |
| 6bb | 0% | -1.156 | -1.000 | 40.4% |
| 7bb | 0% | -1.334 | -1.000 | 40.5% |
| 8bb | 0% | -1.648 | -1.000 | 39.7% |
| 9bb | 0% | -1.813 | -1.000 | 39.9% |
| 10bb | 0% | -1.996 | -1.000 | 40.0% |
| 11bb | 0% | -2.401 | -1.000 | 39.1% |
| 12bb | 0% | -2.659 | -1.000 | 38.9% |
| 13bb | 0% | -2.944 | -1.000 | 38.7% |
| 14bb | 0% | -3.251 | -1.000 | 38.4% |
| 15bb | 0% | -3.600 | -1.000 | 38.0% |
| 16bb | 0% | -3.854 | -1.000 | 38.0% |
| 17bb | 0% | -4.171 | -1.000 | 37.7% |
| 18bb | 0% | -4.412 | -1.000 | 37.7% |
| 19bb | 0% | -4.747 | -1.000 | 37.5% |
| 20bb | 0% | -5.020 | -1.000 | 37.4% |
What makes T5s different from similar hands?
T5s is 4 combos out of the 1,326 two-card hands and ranks number 106 of the 169 starting-hand classes by equity against a random hand. From the small blind, T5s shoves cleanly 7bb deeper than T5o (11bb against 4bb). From the big blind, T5s calls cleanly 1bb deeper than T5o (5bb against 4bb). 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 T5s?
The stack pages show the full shove and call charts at each depth, and the hands closest to T5s in strength, along with T5o, have pages of their own. The combos page counts the specific hands that make up T5s and how card removal changes them.
How were the numbers for T5s 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 T5s a shove at 10bb heads-up?
- Yes. At 10bb the small blind shoves T5s: shoving is worth -0.463 big blinds and folding -0.500.
- Should the big blind call a shove with T5s at 15bb?
- No. At 15bb calling with T5s is worth -3.600 big blinds against -1.000 for folding, so the chart folds.
- Why does T5s 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. T5s shoves every time only up to 11bb.