How deep can the small blind shove 53o?
53o shoves every time as the small blind up to 1.5bb. At 1.5bb its shove is worth -0.4121 big blinds against -0.5000 for folding. Past 1.5bb the chart folds it.
| Stack | Shove frequency | Shove EV | Fold EV | Equity when called |
|---|---|---|---|---|
| 1bb | 100% | -0.275 | -0.500 | 36.3% |
| 2bb | 0% | -0.549 | -0.500 | 36.3% |
| 3bb | 0% | -0.739 | -0.500 | 35.4% |
| 4bb | 0% | -0.721 | -0.500 | 34.2% |
| 5bb | 0% | -0.682 | -0.500 | 33.8% |
| 6bb | 0% | -0.680 | -0.500 | 33.6% |
| 7bb | 0% | -0.678 | -0.500 | 33.5% |
| 8bb | 0% | -0.717 | -0.500 | 33.3% |
| 9bb | 0% | -0.714 | -0.500 | 33.1% |
| 10bb | 0% | -0.729 | -0.500 | 32.8% |
| 11bb | 0% | -0.758 | -0.500 | 32.7% |
| 12bb | 0% | -0.786 | -0.500 | 32.6% |
| 13bb | 0% | -0.799 | -0.500 | 32.4% |
| 14bb | 0% | -0.820 | -0.500 | 32.3% |
| 15bb | 0% | -0.883 | -0.500 | 32.2% |
| 16bb | 0% | -0.896 | -0.500 | 31.6% |
| 17bb | 0% | -0.890 | -0.500 | 31.5% |
| 18bb | 0% | -0.915 | -0.500 | 31.4% |
| 19bb | 0% | -0.933 | -0.500 | 31.1% |
| 20bb | 0% | -0.956 | -0.500 | 30.9% |
When should the big blind call with 53o?
53o calls every time as the big blind up to 3bb. At 3bb its call is worth -0.9470 big blinds against -1.0000 for folding. At 3bb a call breaks even at 33.3% equity, because the big blind has already posted a full blind that folding gives up. Past 3bb the chart folds it.
| Stack | Call frequency | Call EV | Fold EV | Equity vs shoves |
|---|---|---|---|---|
| 1bb | 100% | -0.275 | -1.000 | 36.3% |
| 2bb | 100% | -0.600 | -1.000 | 35.0% |
| 3bb | 100% | -0.947 | -1.000 | 34.2% |
| 4bb | 0% | -1.267 | -1.000 | 34.2% |
| 5bb | 0% | -1.583 | -1.000 | 34.2% |
| 6bb | 0% | -1.910 | -1.000 | 34.1% |
| 7bb | 0% | -2.230 | -1.000 | 34.1% |
| 8bb | 0% | -2.593 | -1.000 | 33.8% |
| 9bb | 0% | -2.906 | -1.000 | 33.9% |
| 10bb | 0% | -3.243 | -1.000 | 33.8% |
| 11bb | 0% | -3.611 | -1.000 | 33.6% |
| 12bb | 0% | -3.977 | -1.000 | 33.4% |
| 13bb | 0% | -4.320 | -1.000 | 33.4% |
| 14bb | 0% | -4.715 | -1.000 | 33.2% |
| 15bb | 0% | -5.035 | -1.000 | 33.2% |
| 16bb | 0% | -5.388 | -1.000 | 33.2% |
| 17bb | 0% | -5.778 | -1.000 | 33.0% |
| 18bb | 0% | -6.127 | -1.000 | 33.0% |
| 19bb | 0% | -6.494 | -1.000 | 32.9% |
| 20bb | 0% | -6.850 | -1.000 | 32.9% |
What makes 53o different from similar hands?
53o is 12 combos out of the 1,326 two-card hands and ranks number 161 of the 169 starting-hand classes by equity against a random hand. From the small blind, 53o shoves cleanly 0.5bb shallower than 53s (1.5bb against 2bb). From the big blind, 53o calls cleanly 1bb shallower than 53s (3bb against 4bb). 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 53o?
The stack pages show the full shove and call charts at each depth, and the hands closest to 53o in strength, along with 53s, have pages of their own. The combos page counts the specific hands that make up 53o and how card removal changes them.
How were the numbers for 53o 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 53o a shove at 10bb heads-up?
- No. At 10bb the small blind folds 53o: shoving is worth -0.729 big blinds and folding -0.500.
- Should the big blind call a shove with 53o at 15bb?
- No. At 15bb calling with 53o is worth -5.035 big blinds against -1.000 for folding, so the chart folds.
- Why does 53o 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. 53o shoves every time only up to 1.5bb.