--- title: "AQo vs ATo: preflop equity" url: "https://georgelipoker.com/equity/aqo-vs-ato.md" canonical_url: "https://georgelipoker.com/equity/aqo-vs-ato" last_updated: "2026-10-23" type: "reference" summary: "AQo is a big favorite over ATo before the flop: 73.58% to 26.42% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/aqo-vs-kjs.md", "https://georgelipoker.com/equity/aqo-vs-a8s.md", "https://georgelipoker.com/equity/ajo-vs-ato.md"] --- # AQo vs ATo: preflop equity AQo is a big favorite over ATo before the flop: 73.58% to 26.42% equity, counted exactly over every board, with the split by flop type and suit. Before any board card is dealt, AQo holds 73.58% equity against ATo, which leaves ATo with 26.42%. ## AQo against ATo: the numbers **Exact preflop results for AQo against ATo, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | AQo | 70.691 | 5.774 | 23.535 | 73.578 | | ATo | 23.535 | 5.774 | 70.691 | 26.422 | This is a contest between two offsuit hands, AQo and ATo. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up. That is a clear edge, 73.58% to 26.42%, but ATo still wins often enough that one hand proves nothing. About 5.77% of boards chop the pot, which is why equity sits slightly above the win figure for both hands. By strength against a random hand, AQo holds place 14 of 169 and ATo holds place 19. **Boards behind the percentages: 184,928,832 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | AQo | 130,728,000 | 10,678,000 | 43,523,000 | | ATo | 43,523,000 | 10,678,000 | 130,728,000 | 108 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand. **AQo against ATo read as odds** | Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) | | --- | --- | --- | --- | --- | | AQo | 2.785 | 1.415 | 4.249 | 0.359 | | ATo | 0.359 | 4.249 | 1.415 | 2.785 | In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity. ## Who is ahead on which flops AQo prefers low rainbow flops (nine high or lower), where it holds 82.98%, and likes monotone flops least, where it holds 68.52%. AQo stays ahead on all five textures. **AQo against ATo by flop texture, in percent** | Flop | Share of flops | AQo wins | Ties | ATo wins | AQo equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 23.275 | 70.178 | 3.192 | 26.630 | 71.774 | | Rainbow, nine or lower | 7.771 | 80.328 | 5.310 | 14.362 | 82.983 | | Two-tone | 46.477 | 72.053 | 3.662 | 24.285 | 73.884 | | Monotone | 5.144 | 66.258 | 4.527 | 29.215 | 68.521 | | Paired | 17.333 | 64.724 | 15.481 | 19.795 | 72.464 | A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank. ## Compared with a random hand Against one random hand instead, AQo holds 64.43% and ATo holds 62.72%. Facing each other changes that by +9.15 points for AQo and -36.30 points for ATo. **AQo and ATo 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 | | --- | --- | --- | --- | --- | | AQo, all flops | 73.578 | 64.432 | +9.146 | 1.14195 | | AQo, rainbow, ten or higher | 71.774 | 64.432 | +7.342 | 1.11395 | | AQo, rainbow, nine or lower | 82.983 | 64.432 | +18.551 | 1.28792 | | AQo, two-tone | 73.884 | 64.432 | +9.452 | 1.14670 | | AQo, monotone | 68.521 | 64.432 | +4.089 | 1.06346 | | AQo, paired | 72.464 | 64.432 | +8.032 | 1.12466 | | ATo, all flops | 26.422 | 62.722 | -36.300 | 0.42126 | | ATo, rainbow, ten or higher | 28.226 | 62.722 | -34.496 | 0.45002 | | ATo, rainbow, nine or lower | 17.017 | 62.722 | -45.705 | 0.27131 | | ATo, two-tone | 26.116 | 62.722 | -36.606 | 0.41638 | | ATo, monotone | 31.479 | 62.722 | -31.243 | 0.50188 | | ATo, paired | 27.536 | 62.722 | -35.186 | 0.43902 | ## Does a shared suit matter? Two kinds of deal exist here. In 84 of them the hands share a suit and AQo holds 73.68%. In 24 they do not, and it holds 73.21%. AQo does better with a shared suit, by 0.47 points. **AQo against ATo by suit overlap, in percent** | Deals | Specific deals | Share of deals | AQo wins | Ties | ATo wins | AQo equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 84 | 77.78 | 70.782 | 5.801 | 23.417 | 73.683 | | No shared suit | 24 | 22.22 | 70.371 | 5.680 | 23.949 | 73.211 | ## How often this matchup comes up The class pair covers 108 combinations of specific cards in a fixed seat order, 0.0066% of 1,624,350, and 216 (0.0133%) in either order. ## A worked example Worked example: both players commit $100, so $200 sits in the middle. Over every board, AQo's average share is $147.16 (a gain of $47.16) and ATo's is $52.84 (a loss of $47.16). Run 1,000 deals and the tally comes out near 707 for AQo, 235 for ATo and 58 ties. ## The same matchup from the other side Read it from the other side: ATo against AQo is the same matchup with the numbers swapped, so ATo holds 26.42% and AQo holds 73.58%. That address sends you back to this page. ## Keep exploring AsQh against AdTc is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength. - [Open AsQh against AdTc in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsQh&p2=AdTc) - [AQo combos](https://georgelipoker.com/combos/aqo.md) - [ATo combos](https://georgelipoker.com/combos/ato.md) - [AQo vs KJs](https://georgelipoker.com/equity/aqo-vs-kjs.md) - [AQo vs A8s](https://georgelipoker.com/equity/aqo-vs-a8s.md) - [AJo vs ATo](https://georgelipoker.com/equity/ajo-vs-ato.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed Method: exact enumeration. The 108 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board. Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used. ## Related - [AQo vs KJs: preflop equity](https://georgelipoker.com/equity/aqo-vs-kjs.md) - [AQo vs A8s: preflop equity](https://georgelipoker.com/equity/aqo-vs-a8s.md) - [AJo vs ATo: preflop equity](https://georgelipoker.com/equity/ajo-vs-ato.md)