How deep can the small blind shove 73s?
73s shoves every time as the small blind up to 2.5bb. At 2.5bb its shove is worth -0.4982 big blinds against -0.5000 for folding. Past 2.5bb the chart folds it.
| Stack | Shove frequency | Shove EV | Fold EV | Equity when called |
|---|---|---|---|---|
| 1bb | 100% | -0.199 | -0.500 | 40.0% |
| 2bb | 100% | -0.399 | -0.500 | 40.0% |
| 3bb | 0% | -0.556 | -0.500 | 38.8% |
| 4bb | 0% | -0.570 | -0.500 | 36.5% |
| 5bb | 0% | -0.548 | -0.500 | 35.7% |
| 6bb | 0% | -0.547 | -0.500 | 35.4% |
| 7bb | 0% | -0.540 | -0.500 | 35.2% |
| 8bb | 0% | -0.574 | -0.500 | 35.1% |
| 9bb | 0% | -0.564 | -0.500 | 35.0% |
| 10bb | 0% | -0.570 | -0.500 | 34.8% |
| 11bb | 0% | -0.602 | -0.500 | 34.5% |
| 12bb | 0% | -0.626 | -0.500 | 34.4% |
| 13bb | 0% | -0.629 | -0.500 | 34.4% |
| 14bb | 0% | -0.643 | -0.500 | 34.3% |
| 15bb | 0% | -0.700 | -0.500 | 34.2% |
| 16bb | 0% | -0.711 | -0.500 | 33.7% |
| 17bb | 0% | -0.705 | -0.500 | 33.6% |
| 18bb | 0% | -0.722 | -0.500 | 33.5% |
| 19bb | 0% | -0.737 | -0.500 | 33.3% |
| 20bb | 0% | -0.754 | -0.500 | 33.1% |
When should the big blind call with 73s?
73s calls every time as the big blind up to 3.5bb. At 3.5bb its call is worth -0.9465 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% | -0.199 | -1.000 | 40.0% |
| 2bb | 100% | -0.477 | -1.000 | 38.1% |
| 3bb | 100% | -0.807 | -1.000 | 36.5% |
| 4bb | 0% | -1.090 | -1.000 | 36.4% |
| 5bb | 0% | -1.365 | -1.000 | 36.4% |
| 6bb | 0% | -1.648 | -1.000 | 36.3% |
| 7bb | 0% | -1.931 | -1.000 | 36.2% |
| 8bb | 0% | -2.267 | -1.000 | 35.8% |
| 9bb | 0% | -2.542 | -1.000 | 35.9% |
| 10bb | 0% | -2.830 | -1.000 | 35.8% |
| 11bb | 0% | -3.124 | -1.000 | 35.8% |
| 12bb | 0% | -3.454 | -1.000 | 35.6% |
| 13bb | 0% | -3.769 | -1.000 | 35.5% |
| 14bb | 0% | -4.112 | -1.000 | 35.3% |
| 15bb | 0% | -4.435 | -1.000 | 35.2% |
| 16bb | 0% | -4.765 | -1.000 | 35.1% |
| 17bb | 0% | -5.091 | -1.000 | 35.0% |
| 18bb | 0% | -5.395 | -1.000 | 35.0% |
| 19bb | 0% | -5.730 | -1.000 | 34.9% |
| 20bb | 0% | -6.045 | -1.000 | 34.9% |
What makes 73s different from similar hands?
73s is 4 combos out of the 1,326 two-card hands and ranks number 143 of the 169 starting-hand classes by equity against a random hand. From the small blind, 73s shoves cleanly 1bb deeper than 73o (2.5bb against 1.5bb). From the big blind, 73s calls cleanly 1bb deeper than 73o (3.5bb against 2.5bb). 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 73s?
The stack pages show the full shove and call charts at each depth, and the hands closest to 73s in strength, along with 73o, have pages of their own. The combos page counts the specific hands that make up 73s and how card removal changes them.
How were the numbers for 73s 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 73s a shove at 10bb heads-up?
- No. At 10bb the small blind folds 73s: shoving is worth -0.570 big blinds and folding -0.500.
- Should the big blind call a shove with 73s at 15bb?
- No. At 15bb calling with 73s is worth -4.435 big blinds against -1.000 for folding, so the chart folds.
- Why does 73s 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. 73s shoves every time only up to 2.5bb.