--- title: "AJo vs ATo: preflop equity" url: "https://georgelipoker.com/equity/ajo-vs-ato.md" canonical_url: "https://georgelipoker.com/equity/ajo-vs-ato" last_updated: "2026-10-23" type: "reference" summary: "AJo is a big favorite over ATo before the flop: 72.85% to 27.15% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/ajo-vs-kjs.md", "https://georgelipoker.com/equity/ajo-vs-a8s.md", "https://georgelipoker.com/equity/kqs-vs-ato.md"] --- # AJo vs ATo: preflop equity AJo is a big favorite over ATo before the flop: 72.85% to 27.15% equity, counted exactly over every board, with the split by flop type and suit. The exact count puts AJo at 72.85% and ATo at 27.15% when the two hands see all five board cards. ## AJo against ATo: the numbers **Exact preflop results for AJo against ATo, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | AJo | 68.825 | 8.042 | 23.133 | 72.846 | | ATo | 23.133 | 8.042 | 68.825 | 27.154 | The matchup is offsuit hands on both sides, AJo against ATo. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits. A lead of 45.70 points is large but not decisive: ATo still takes about 231 of every 1,000 deals. Split pots make up 8.04% of the boards, and both equity figures count them as half a win each. In the ranking of all 169 starting hands, AJo is number 15 and ATo is number 19. **Boards behind the percentages: 184,928,832 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | AJo | 127,277,000 | 14,872,000 | 42,780,000 | | ATo | 42,780,000 | 14,872,000 | 127,277,000 | The board total is exact, 108 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages. **AJo 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) | | --- | --- | --- | --- | --- | | AJo | 2.683 | 1.453 | 4.323 | 0.373 | | ATo | 0.373 | 4.323 | 1.453 | 2.683 | 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 Across the five flop textures AJo's equity moves by 15.50 points, from 68.10% on monotone flops to 83.60% on low rainbow flops (nine high or lower). AJo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal. **AJo against ATo by flop texture, in percent** | Flop | Share of flops | AJo wins | Ties | ATo wins | AJo equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 23.275 | 68.146 | 5.661 | 26.193 | 70.977 | | Rainbow, nine or lower | 7.771 | 80.979 | 5.240 | 13.781 | 83.599 | | Two-tone | 46.477 | 70.700 | 5.470 | 23.830 | 73.435 | | Monotone | 5.144 | 65.089 | 6.028 | 28.883 | 68.103 | | Paired | 17.333 | 60.370 | 19.987 | 19.643 | 70.363 | Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank. ## Compared with a random hand Against one random hand instead, AJo holds 63.56% and ATo holds 62.72%. Facing each other changes that by +9.29 points for AJo and -35.57 points for ATo. **AJo 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 | | --- | --- | --- | --- | --- | | AJo, all flops | 72.846 | 63.563 | +9.283 | 1.14604 | | AJo, rainbow, ten or higher | 70.977 | 63.563 | +7.414 | 1.11664 | | AJo, rainbow, nine or lower | 83.599 | 63.563 | +20.036 | 1.31521 | | AJo, two-tone | 73.435 | 63.563 | +9.872 | 1.15531 | | AJo, monotone | 68.103 | 63.563 | +4.540 | 1.07143 | | AJo, paired | 70.363 | 63.563 | +6.800 | 1.10698 | | ATo, all flops | 27.154 | 62.722 | -35.568 | 0.43293 | | ATo, rainbow, ten or higher | 29.023 | 62.722 | -33.699 | 0.46272 | | ATo, rainbow, nine or lower | 16.401 | 62.722 | -46.321 | 0.26149 | | ATo, two-tone | 26.565 | 62.722 | -36.157 | 0.42354 | | ATo, monotone | 31.897 | 62.722 | -30.825 | 0.50855 | | ATo, paired | 29.637 | 62.722 | -33.085 | 0.47251 | ## Does a shared suit matter? Of the deals of this matchup, 84 share a suit (AJo at 72.95%) and 24 do not (72.48%). AJo does better with a shared suit, by 0.47 points. **AJo against ATo by suit overlap, in percent** | Deals | Specific deals | Share of deals | AJo wins | Ties | ATo wins | AJo equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 84 | 77.78 | 68.913 | 8.074 | 23.013 | 72.950 | | No shared suit | 24 | 22.22 | 68.518 | 7.928 | 23.554 | 72.482 | ## How often this matchup comes up Out of 1,624,350 ways to deal two seats two cards each, 108 are AJo in one seat and ATo in the other (0.0066%); with the seats swapped too, 216 (0.0133%). ## A worked example To see what the equity is worth, imagine $100 each in a $200 pot. AJo is worth $145.70 on average (+$45.70); ATo is worth $54.30 (-$45.70). Think in thousands: about 688 of 1,000 go to AJo, about 231 go to ATo, and about 81 are chopped. ## The same matchup from the other side The reversed view, ATo against AJo, shows 27.15% for ATo and 72.85% for AJo. It is the same count, so it redirects here. ## Keep exploring Open the calculator with AsJh against AdTc 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 AsJh against AdTc in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsJh&p2=AdTc) - [AJo combos](https://georgelipoker.com/combos/ajo.md) - [ATo combos](https://georgelipoker.com/combos/ato.md) - [AJo vs KJs](https://georgelipoker.com/equity/ajo-vs-kjs.md) - [AJo vs A8s](https://georgelipoker.com/equity/ajo-vs-a8s.md) - [KQs vs ATo](https://georgelipoker.com/equity/kqs-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 - [AJo vs KJs: preflop equity](https://georgelipoker.com/equity/ajo-vs-kjs.md) - [AJo vs A8s: preflop equity](https://georgelipoker.com/equity/ajo-vs-a8s.md) - [KQs vs ATo: preflop equity](https://georgelipoker.com/equity/kqs-vs-ato.md)