--- title: "Push or fold with QTo heads-up" url: "https://georgelipoker.com/push-fold/heads-up/hand/qto.md" canonical_url: "https://georgelipoker.com/push-fold/heads-up/hand/qto" last_updated: "2026-10-23" type: "reference" summary: "QTo shoves from the small blind at every stack up to 20bb and calls from the big blind up to 14.5bb heads-up. Exact EV at each stack." related: ["https://georgelipoker.com/push-fold.md"] --- # Push or fold with QTo heads-up QTo shoves from the small blind at every stack up to 20bb and calls from the big blind up to 14.5bb heads-up. Exact EV at each stack. QTo shoves at every stack up to 20bb from the small blind. From the big blind it calls at every stack up to 14.5bb, mixes between 15bb and 15.5bb and folds deeper. Both come from a solved heads-up game with no ante. - Shoves every time up to: 20bb - Calls every time up to: 14.5bb - Rank of 169: 47 - Combos: 12 ## How deep can the small blind shove QTo? QTo shoves at every stack from 1 to 20 big blinds as the small blind. Its shove EV stays above the -0.5000 big blinds it earns by folding at each of them. QTo as the small blind, by stack: | Stack | Shove frequency | Shove EV | Fold EV | Equity when called | | --- | --- | --- | --- | --- | | 1bb | 100% | +0.146 | -0.500 | 57.3% | | 2bb | 100% | +0.292 | -0.500 | 57.3% | | 3bb | 100% | +0.433 | -0.500 | 56.4% | | 4bb | 100% | +0.482 | -0.500 | 53.6% | | 5bb | 100% | +0.458 | -0.500 | 51.0% | | 6bb | 100% | +0.386 | -0.500 | 48.7% | | 7bb | 100% | +0.291 | -0.500 | 46.5% | | 8bb | 100% | +0.195 | -0.500 | 44.9% | | 9bb | 100% | +0.137 | -0.500 | 43.5% | | 10bb | 100% | +0.052 | -0.500 | 42.1% | | 11bb | 100% | +0.020 | -0.500 | 41.6% | | 12bb | 100% | -0.055 | -0.500 | 40.7% | | 13bb | 100% | -0.117 | -0.500 | 39.8% | | 14bb | 100% | -0.165 | -0.500 | 39.1% | | 15bb | 100% | -0.209 | -0.500 | 39.0% | | 16bb | 100% | -0.231 | -0.500 | 38.5% | | 17bb | 100% | -0.258 | -0.500 | 37.8% | | 18bb | 100% | -0.279 | -0.500 | 37.6% | | 19bb | 100% | -0.317 | -0.500 | 37.0% | | 20bb | 100% | -0.301 | -0.500 | 37.4% | ## When should the big blind call with QTo? QTo calls every time as the big blind up to 14.5bb. At 14.5bb its call is worth -0.8191 big blinds against -1.0000 for folding. At 14.5bb a call breaks even at 46.6% equity, because the big blind has already posted a full blind that folding gives up. Between 15bb and 15.5bb it mixes, so either choice is close to break-even there. In that zone the call is worth -1.0000 big blinds, level with the -1.0000 for folding. Past 15.5bb the chart folds it. QTo as the big blind, by stack: | Stack | Call frequency | Call EV | Fold EV | Equity vs shoves | | --- | --- | --- | --- | --- | | 1bb | 100% | +0.146 | -1.000 | 57.3% | | 2bb | 100% | +0.243 | -1.000 | 56.1% | | 3bb | 100% | +0.267 | -1.000 | 54.5% | | 4bb | 100% | +0.285 | -1.000 | 53.6% | | 5bb | 100% | +0.299 | -1.000 | 53.0% | | 6bb | 100% | +0.271 | -1.000 | 52.3% | | 7bb | 100% | +0.245 | -1.000 | 51.8% | | 8bb | 100% | +0.101 | -1.000 | 50.6% | | 9bb | 100% | +0.007 | -1.000 | 50.0% | | 10bb | 100% | -0.097 | -1.000 | 49.5% | | 11bb | 100% | -0.364 | -1.000 | 48.3% | | 12bb | 100% | -0.410 | -1.000 | 48.3% | | 13bb | 100% | -0.489 | -1.000 | 48.1% | | 14bb | 100% | -0.744 | -1.000 | 47.3% | | 15bb | 71% | -1.000 | -1.000 | 46.7% | | 16bb | 0% | -1.043 | -1.000 | 46.7% | | 17bb | 0% | -1.229 | -1.000 | 46.4% | | 18bb | 0% | -1.407 | -1.000 | 46.1% | | 19bb | 0% | -1.559 | -1.000 | 45.9% | | 20bb | 0% | -1.623 | -1.000 | 45.9% | ## What makes QTo different from similar hands? QTo is 12 combos out of the 1,326 two-card hands and ranks number 47 of the 169 starting-hand classes by equity against a random hand. From the small blind, QTo and QTs both shove at every stack from 1 to 20bb. From the big blind, QTo calls every time only up to 14.5bb, while QTs calls at every stack from 1 to 20bb. 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 QTo? The stack pages show the full shove and call charts at each depth, and the hands closest to QTo in strength have pages of their own. The combos page counts the specific hands that make up QTo and how card removal changes them. Related pages: - [All hands and stacks heads-up](https://georgelipoker.com/push-fold.md) - [Push or fold chart at 20bb](https://georgelipoker.com/push-fold/heads-up/20-bb.md) - [Push or fold chart at 14bb](https://georgelipoker.com/push-fold/heads-up/14-bb.md) - [Push or fold with JTs](https://georgelipoker.com/push-fold/heads-up/hand/jts.md) - [Push or fold with A4o](https://georgelipoker.com/push-fold/heads-up/hand/a4o.md) - [QTo combos and rank](https://georgelipoker.com/combos/qto.md) - [Push or fold calculator](https://georgelipoker.com/tools/push-fold-calculator.md) ## How were the numbers for QTo computed? The game has two players, blinds of 0.5 and 1, no ante and one effective stack. Every one of the 169 starting-hand classes is dealt in proportion to the card-compatible pairs of specific hands, and a showdown is settled with the exact equity from our preflop table. Each side keeps answering the other's average strategy until neither can gain, then the borderline hands are solved exactly. Source: GeorgeLiPoker's own heads-up solver, run on its exact preflop equity table. ## Questions **Is QTo a shove at 10bb heads-up?** Yes. At 10bb the small blind shoves QTo: shoving is worth +0.052 big blinds and folding -0.500. **Should the big blind call a shove with QTo at 15bb?** Yes. At 15bb calling with QTo is worth -1.000 big blinds against -1.000 for folding, so the chart calls. **Does QTo ever fold heads-up at 20bb or less?** Not from the small blind: QTo shoves at every stack from 1 to 20bb. As the big blind it calls cleanly up to 14.5bb and folds or mixes deeper. ## Related - [Heads-Up Push or Fold Charts, 1 to 20bb](https://georgelipoker.com/push-fold.md)