--- title: "ATo vs QTo: preflop equity" url: "https://georgelipoker.com/equity/ato-vs-qto.md" canonical_url: "https://georgelipoker.com/equity/ato-vs-qto" last_updated: "2026-10-23" type: "reference" summary: "ATo is a big favorite over QTo before the flop: 72.57% to 27.44% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/ato-vs-44.md", "https://georgelipoker.com/equity/ato-vs-j9s.md", "https://georgelipoker.com/equity/kjs-vs-qto.md"] --- # ATo vs QTo: preflop equity ATo is a big favorite over QTo before the flop: 72.57% to 27.44% equity, counted exactly over every board, with the split by flop type and suit. Averaged over every possible board, ATo is ahead of QTo by 45.14 points of equity, 72.57% to 27.43%. ## ATo against QTo: the numbers **Exact preflop results for ATo against QTo, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | ATo | 71.625 | 1.880 | 26.495 | 72.565 | | QTo | 26.495 | 1.880 | 71.625 | 27.435 | Here offsuit hands face each other, ATo on one side and QTo on the other. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up. A lead of 45.14 points is large but not decisive: QTo still takes about 265 of every 1,000 deals. A split pot comes up on 1.88% of boards, so the wins and the equity differ by half of that. In the ranking of all 169 starting hands, ATo is number 19 and QTo is number 47. **Boards behind the percentages: 184,928,832 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | ATo | 132,455,000 | 3,477,000 | 48,997,000 | | QTo | 48,997,000 | 3,477,000 | 132,455,000 | Exact total: 108 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate. **ATo against QTo read as odds** | Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) | | --- | --- | --- | --- | --- | | ATo | 2.645 | 1.396 | 3.774 | 0.378 | | QTo | 0.378 | 3.774 | 1.396 | 2.645 | The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity. ## Who is ahead on which flops Break the boards down by their first three cards and ATo is strongest on low rainbow flops (nine high or lower) (83.73%) and weakest on monotone flops (67.23%). ATo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal. **ATo against QTo by flop texture, in percent** | Flop | Share of flops | ATo wins | Ties | QTo wins | ATo equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 23.275 | 67.812 | 1.440 | 30.748 | 68.532 | | Rainbow, nine or lower | 7.771 | 82.287 | 2.886 | 14.827 | 83.730 | | Two-tone | 46.477 | 70.892 | 1.733 | 27.375 | 71.759 | | Monotone | 5.144 | 65.932 | 2.586 | 31.482 | 67.225 | | Paired | 17.333 | 75.623 | 2.202 | 22.175 | 76.724 | Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank. ## Compared with a random hand Start from the random-hand figures, 62.72% for ATo and 57.29% for QTo. This opponent changes them by +9.85 and -29.86 points. **ATo and QTo here compared with each against a random hand, in percent** | Case | Equity here | Against a random hand | Change in points | Times the random-hand equity | | --- | --- | --- | --- | --- | | ATo, all flops | 72.565 | 62.722 | +9.843 | 1.15693 | | ATo, rainbow, ten or higher | 68.532 | 62.722 | +5.810 | 1.09263 | | ATo, rainbow, nine or lower | 83.730 | 62.722 | +21.008 | 1.33494 | | ATo, two-tone | 71.759 | 62.722 | +9.037 | 1.14408 | | ATo, monotone | 67.225 | 62.722 | +4.503 | 1.07179 | | ATo, paired | 76.724 | 62.722 | +14.002 | 1.22324 | | QTo, all flops | 27.435 | 57.291 | -29.856 | 0.47887 | | QTo, rainbow, ten or higher | 31.468 | 57.291 | -25.823 | 0.54927 | | QTo, rainbow, nine or lower | 16.270 | 57.291 | -41.021 | 0.28399 | | QTo, two-tone | 28.241 | 57.291 | -29.050 | 0.49294 | | QTo, monotone | 32.775 | 57.291 | -24.516 | 0.57208 | | QTo, paired | 23.276 | 57.291 | -34.015 | 0.40628 | ## Does a shared suit matter? The suit split reads 72.66% for ATo with a shared suit and 72.23% without one. ATo does better with a shared suit, by 0.43 points. **ATo against QTo by suit overlap, in percent** | Deals | Specific deals | Share of deals | ATo wins | Ties | QTo wins | ATo equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 84 | 77.78 | 71.708 | 1.905 | 26.387 | 72.661 | | No shared suit | 24 | 22.22 | 71.334 | 1.793 | 26.873 | 72.231 | ## How often this matchup comes up This page stands for 108 specific-card matchups (0.0066% of 1,624,350 ordered deals), or 216 once you count the seats both ways (0.0133%). ## A worked example Put $100 each into a $200 pot and deal every board once: ATo averages $145.14 back, ahead of its $100 by $45.14, while QTo averages $54.86, short of its $100 by $45.14. Think in thousands: about 716 of 1,000 go to ATo, about 265 go to QTo, and about 19 are chopped. ## The same matchup from the other side QTo versus ATo is this same page seen from the other hand: 27.43% for QTo, 72.57% for ATo. ## Keep exploring Open the calculator with AsTh against QdTc already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking. - [Open AsTh against QdTc in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsTh&p2=QdTc) - [ATo combos](https://georgelipoker.com/combos/ato.md) - [QTo combos](https://georgelipoker.com/combos/qto.md) - [ATo vs 44](https://georgelipoker.com/equity/ato-vs-44.md) - [ATo vs J9s](https://georgelipoker.com/equity/ato-vs-j9s.md) - [KJs vs QTo](https://georgelipoker.com/equity/kjs-vs-qto.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed All 1,712,304 five-card boards are dealt for every suit pattern among the 108 specific deals of ATo against QTo, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains. Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used. ## Related - [ATo vs 44: preflop equity](https://georgelipoker.com/equity/ato-vs-44.md) - [ATo vs J9s: preflop equity](https://georgelipoker.com/equity/ato-vs-j9s.md) - [KJs vs QTo: preflop equity](https://georgelipoker.com/equity/kjs-vs-qto.md)