--- title: "AKs vs ATo: preflop equity" url: "https://georgelipoker.com/equity/aks-vs-ato.md" canonical_url: "https://georgelipoker.com/equity/aks-vs-ato" last_updated: "2026-10-23" type: "reference" summary: "AKs is a big favorite over ATo before the flop: 74.85% to 25.15% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/aks-vs-kjs.md", "https://georgelipoker.com/equity/aks-vs-a8s.md", "https://georgelipoker.com/equity/77-vs-ato.md"] --- # AKs vs ATo: preflop equity AKs is a big favorite over ATo before the flop: 74.85% to 25.15% equity, counted exactly over every board, with the split by flop type and suit. The exact count puts AKs at 74.85% and ATo at 25.15% when the two hands see all five board cards. ## AKs against ATo: the numbers **Exact preflop results for AKs against ATo, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | AKs | 72.638 | 4.423 | 22.939 | 74.850 | | ATo | 22.939 | 4.423 | 72.638 | 25.150 | Here a suited hand (AKs) meets an offsuit hand (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. AKs is the clear favorite, though ATo gets there on roughly one board in 4. Ties are part of the picture: 4.42% of boards end in a split pot, and each side counts that as half a win. The hand ranking puts AKs at 8 and ATo at 19 out of 169 starting hands. **Boards behind the percentages: 61,642,944 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | AKs | 44,776,000 | 2,726,000 | 14,140,000 | | ATo | 14,140,000 | 2,726,000 | 44,776,000 | The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages. **AKs 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) | | --- | --- | --- | --- | --- | | AKs | 2.976 | 1.377 | 4.359 | 0.336 | | ATo | 0.336 | 4.359 | 1.377 | 2.976 | 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 Across the five flop textures AKs' equity moves by 16.02 points, from 67.46% on monotone flops to 83.48% on low rainbow flops (nine high or lower). AKs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal. **AKs against ATo by flop texture, in percent** | Flop | Share of flops | AKs wins | Ties | ATo wins | AKs equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 23.177 | 71.588 | 2.025 | 26.387 | 72.601 | | Rainbow, nine or lower | 7.771 | 80.904 | 5.145 | 13.951 | 83.476 | | Two-tone | 46.527 | 74.080 | 2.642 | 23.278 | 75.401 | | Monotone | 5.192 | 65.471 | 3.969 | 30.560 | 67.455 | | Paired | 17.333 | 68.614 | 12.219 | 19.167 | 74.723 | 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 The table below sets each hand against its own random-hand baseline: a change of +7.80 points for AKs, from 67.05%, and -37.57 for ATo, from 62.72%. **AKs 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 | | --- | --- | --- | --- | --- | | AKs, all flops | 74.850 | 67.045 | +7.805 | 1.11641 | | AKs, rainbow, ten or higher | 72.601 | 67.045 | +5.556 | 1.08287 | | AKs, rainbow, nine or lower | 83.476 | 67.045 | +16.431 | 1.24507 | | AKs, two-tone | 75.401 | 67.045 | +8.356 | 1.12463 | | AKs, monotone | 67.455 | 67.045 | +0.410 | 1.00612 | | AKs, paired | 74.723 | 67.045 | +7.678 | 1.11452 | | ATo, all flops | 25.150 | 62.722 | -37.572 | 0.40098 | | ATo, rainbow, ten or higher | 27.399 | 62.722 | -35.323 | 0.43683 | | ATo, rainbow, nine or lower | 16.524 | 62.722 | -46.198 | 0.26345 | | ATo, two-tone | 24.599 | 62.722 | -38.123 | 0.39219 | | ATo, monotone | 32.545 | 62.722 | -30.177 | 0.51888 | | ATo, paired | 25.277 | 62.722 | -37.445 | 0.40300 | ## Does a shared suit matter? Suit overlap shows up in the numbers. With a suit in common AKs has 74.62% equity, and with none in common it has 74.97%. AKs does better with no shared suit, by 0.35 points. **AKs against ATo by suit overlap, in percent** | Deals | Specific deals | Share of deals | AKs wins | Ties | ATo wins | AKs equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 12 | 33.33 | 72.370 | 4.495 | 23.135 | 74.617 | | No shared suit | 24 | 66.67 | 72.773 | 4.386 | 22.841 | 74.966 | ## How often this matchup comes up Exactly 36 specific deals fit this matchup in one seat order, which is 0.0022% of 1,624,350; both orders together give 72, or 0.0044%. ## A worked example Worked example: both players commit $100, so $200 sits in the middle. Over every board, AKs' average share is $149.70 (a gain of $49.70) and ATo's is $50.30 (a loss of $49.70). Think in thousands: about 726 of 1,000 go to AKs, about 230 go to ATo, and about 44 are chopped. ## The same matchup from the other side Read it from the other side: ATo against AKs is the same matchup with the numbers swapped, so ATo holds 25.15% and AKs holds 74.85%. That address sends you back to this page. ## Keep exploring Try AsKs against AhTd in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking. - [Open AsKs against AhTd in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsKs&p2=AhTd) - [AKs combos](https://georgelipoker.com/combos/aks.md) - [ATo combos](https://georgelipoker.com/combos/ato.md) - [AKs vs KJs](https://georgelipoker.com/equity/aks-vs-kjs.md) - [AKs vs A8s](https://georgelipoker.com/equity/aks-vs-a8s.md) - [77 vs ATo](https://georgelipoker.com/equity/77-vs-ato.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed Nothing here is simulated. The 36 deals of AKs against ATo fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops. Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used. ## Related - [AKs vs KJs: preflop equity](https://georgelipoker.com/equity/aks-vs-kjs.md) - [AKs vs A8s: preflop equity](https://georgelipoker.com/equity/aks-vs-a8s.md) - [77 vs ATo: preflop equity](https://georgelipoker.com/equity/77-vs-ato.md)