--- title: "AKo vs ATo: preflop equity" url: "https://georgelipoker.com/equity/ako-vs-ato.md" canonical_url: "https://georgelipoker.com/equity/ako-vs-ato" last_updated: "2026-10-23" type: "reference" summary: "AKo is a big favorite over ATo before the flop: 73.74% to 26.26% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/ako-vs-kjs.md", "https://georgelipoker.com/equity/ako-vs-a8s.md", "https://georgelipoker.com/equity/ats-vs-ato.md"] --- # AKo vs ATo: preflop equity AKo is a big favorite over ATo before the flop: 73.74% to 26.26% equity, counted exactly over every board, with the split by flop type and suit. If AKo and ATo get all the chips in before the flop, AKo owns 73.74% of the pot in the long run and ATo owns 26.26%. ## AKo against ATo: the numbers **Exact preflop results for AKo against ATo, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | AKo | 71.416 | 4.647 | 23.937 | 73.739 | | ATo | 23.937 | 4.647 | 71.416 | 26.261 | AKo and ATo are both offsuit hands. 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 47.48 points is large but not decisive: ATo still takes about 239 of every 1,000 deals. A split pot comes up on 4.65% of boards, so the wins and the equity differ by half of that. Ranked by equity against a random hand, AKo is number 12 of the 169 starting hands 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 | | --- | --- | --- | --- | | AKo | 132,069,000 | 8,594,000 | 44,266,000 | | ATo | 44,266,000 | 8,594,000 | 132,069,000 | The total is exact: 108 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand. **AKo 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) | | --- | --- | --- | --- | --- | | AKo | 2.808 | 1.400 | 4.178 | 0.356 | | ATo | 0.356 | 4.178 | 1.400 | 2.808 | 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 AKo prefers low rainbow flops (nine high or lower), where it holds 82.83%, and likes monotone flops least, where it holds 68.55%. AKo stays ahead on all five textures. **AKo against ATo by flop texture, in percent** | Flop | Share of flops | AKo wins | Ties | ATo wins | AKo equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 23.275 | 70.710 | 2.077 | 27.213 | 71.749 | | Rainbow, nine or lower | 7.771 | 80.162 | 5.332 | 14.506 | 82.828 | | Two-tone | 46.477 | 72.419 | 2.841 | 24.740 | 73.840 | | Monotone | 5.144 | 66.647 | 3.806 | 29.547 | 68.550 | | Paired | 17.333 | 67.166 | 12.887 | 19.947 | 73.609 | Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank. ## Compared with a random hand Each hand has a baseline against a random hand: 65.32% for AKo, 62.72% for ATo. Here the change is +8.42 and -36.46 points. **AKo 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 | | --- | --- | --- | --- | --- | | AKo, all flops | 73.739 | 65.320 | +8.419 | 1.12889 | | AKo, rainbow, ten or higher | 71.749 | 65.320 | +6.429 | 1.09842 | | AKo, rainbow, nine or lower | 82.828 | 65.320 | +17.508 | 1.26803 | | AKo, two-tone | 73.840 | 65.320 | +8.520 | 1.13043 | | AKo, monotone | 68.550 | 65.320 | +3.230 | 1.04945 | | AKo, paired | 73.609 | 65.320 | +8.289 | 1.12690 | | ATo, all flops | 26.261 | 62.722 | -36.461 | 0.41869 | | ATo, rainbow, ten or higher | 28.251 | 62.722 | -34.471 | 0.45042 | | ATo, rainbow, nine or lower | 17.172 | 62.722 | -45.550 | 0.27378 | | ATo, two-tone | 26.160 | 62.722 | -36.562 | 0.41708 | | ATo, monotone | 31.450 | 62.722 | -31.272 | 0.50142 | | ATo, paired | 26.391 | 62.722 | -36.331 | 0.42076 | ## Does a shared suit matter? Does suit overlap move the numbers? AKo has 73.84% when the hands share a suit and 73.37% when they do not. AKo does better with a shared suit, by 0.47 points. **AKo against ATo by suit overlap, in percent** | Deals | Specific deals | Share of deals | AKo wins | Ties | ATo wins | AKo equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 84 | 77.78 | 71.509 | 4.671 | 23.820 | 73.844 | | No shared suit | 24 | 22.22 | 71.090 | 4.566 | 24.344 | 73.373 | ## 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 To see what the equity is worth, imagine $100 each in a $200 pot. AKo is worth $147.48 on average (+$47.48); ATo is worth $52.52 (-$47.48). Per 1,000 deals: AKo wins about 714, ATo wins about 239, and about 47 end in a split pot. ## The same matchup from the other side Read it from the other side: ATo against AKo is the same matchup with the numbers swapped, so ATo holds 26.26% and AKo holds 73.74%. That address sends you back to this page. ## Keep exploring AsKh 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 AsKh against AdTc in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsKh&p2=AdTc) - [AKo combos](https://georgelipoker.com/combos/ako.md) - [ATo combos](https://georgelipoker.com/combos/ato.md) - [AKo vs KJs](https://georgelipoker.com/equity/ako-vs-kjs.md) - [AKo vs A8s](https://georgelipoker.com/equity/ako-vs-a8s.md) - [ATs vs ATo](https://georgelipoker.com/equity/ats-vs-ato.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 108 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows. Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used. ## Related - [AKo vs KJs: preflop equity](https://georgelipoker.com/equity/ako-vs-kjs.md) - [AKo vs A8s: preflop equity](https://georgelipoker.com/equity/ako-vs-a8s.md) - [ATs vs ATo: preflop equity](https://georgelipoker.com/equity/ats-vs-ato.md)