How deep can the small blind shove T2o?
T2o shoves every time as the small blind up to 2.5bb. At 2.5bb its shove is worth -0.4166 big blinds against -0.5000 for folding. At 3bb 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 3bb the chart folds it.
| Stack | Shove frequency | Shove EV | Fold EV | Equity when called |
|---|---|---|---|---|
| 1bb | 100% | -0.167 | -0.500 | 41.7% |
| 2bb | 100% | -0.333 | -0.500 | 41.7% |
| 3bb | 34% | -0.500 | -0.500 | 39.8% |
| 4bb | 0% | -0.617 | -0.500 | 35.6% |
| 5bb | 0% | -0.687 | -0.500 | 33.3% |
| 6bb | 0% | -0.731 | -0.500 | 32.4% |
| 7bb | 0% | -0.777 | -0.500 | 31.6% |
| 8bb | 0% | -0.833 | -0.500 | 31.2% |
| 9bb | 0% | -0.838 | -0.500 | 31.0% |
| 10bb | 0% | -0.857 | -0.500 | 30.7% |
| 11bb | 0% | -0.894 | -0.500 | 30.4% |
| 12bb | 0% | -0.933 | -0.500 | 30.2% |
| 13bb | 0% | -0.948 | -0.500 | 30.1% |
| 14bb | 0% | -0.978 | -0.500 | 29.9% |
| 15bb | 0% | -1.050 | -0.500 | 29.8% |
| 16bb | 0% | -1.034 | -0.500 | 30.0% |
| 17bb | 0% | -1.031 | -0.500 | 29.7% |
| 18bb | 0% | -1.061 | -0.500 | 29.5% |
| 19bb | 0% | -1.076 | -0.500 | 29.3% |
| 20bb | 0% | -1.084 | -0.500 | 29.3% |
When should the big blind call with T2o?
T2o calls every time as the big blind up to 3.5bb. At 3.5bb its call is worth -0.9870 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% | -0.167 | -1.000 | 41.7% |
| 2bb | 100% | -0.431 | -1.000 | 39.2% |
| 3bb | 100% | -0.816 | -1.000 | 36.4% |
| 4bb | 0% | -1.159 | -1.000 | 35.5% |
| 5bb | 0% | -1.465 | -1.000 | 35.4% |
| 6bb | 0% | -1.783 | -1.000 | 35.1% |
| 7bb | 0% | -2.084 | -1.000 | 35.1% |
| 8bb | 0% | -2.461 | -1.000 | 34.6% |
| 9bb | 0% | -2.749 | -1.000 | 34.7% |
| 10bb | 0% | -3.044 | -1.000 | 34.8% |
| 11bb | 0% | -3.554 | -1.000 | 33.8% |
| 12bb | 0% | -3.863 | -1.000 | 33.9% |
| 13bb | 0% | -4.217 | -1.000 | 33.8% |
| 14bb | 0% | -4.602 | -1.000 | 33.6% |
| 15bb | 0% | -5.125 | -1.000 | 32.9% |
| 16bb | 0% | -5.490 | -1.000 | 32.8% |
| 17bb | 0% | -5.909 | -1.000 | 32.6% |
| 18bb | 0% | -6.255 | -1.000 | 32.6% |
| 19bb | 0% | -6.703 | -1.000 | 32.4% |
| 20bb | 0% | -7.044 | -1.000 | 32.4% |
What makes T2o different from similar hands?
T2o is 12 combos out of the 1,326 two-card hands and ranks number 135 of the 169 starting-hand classes by equity against a random hand. From the small blind, T2o shoves cleanly 4bb shallower than T2s (2.5bb against 6.5bb). From the big blind, T2o calls cleanly 1bb shallower than T2s (3.5bb against 4.5bb). 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 T2o?
The stack pages show the full shove and call charts at each depth, and the hands closest to T2o in strength, along with T2s, have pages of their own. The combos page counts the specific hands that make up T2o and how card removal changes them.
How were the numbers for T2o 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 T2o a shove at 10bb heads-up?
- No. At 10bb the small blind folds T2o: shoving is worth -0.857 big blinds and folding -0.500.
- Should the big blind call a shove with T2o at 15bb?
- No. At 15bb calling with T2o is worth -5.125 big blinds against -1.000 for folding, so the chart folds.
- Why does T2o 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. T2o shoves every time only up to 2.5bb.