--- title: "ATo vs KTo: preflop equity" url: "https://georgelipoker.com/equity/ato-vs-kto.md" canonical_url: "https://georgelipoker.com/equity/ato-vs-kto" last_updated: "2026-10-23" type: "reference" summary: "ATo is a big favorite over KTo before the flop: 74.17% to 25.83% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/ato-vs-qts.md", "https://georgelipoker.com/equity/ato-vs-a4s.md", "https://georgelipoker.com/equity/kjs-vs-kto.md"] --- # ATo vs KTo: preflop equity ATo is a big favorite over KTo before the flop: 74.17% to 25.83% equity, counted exactly over every board, with the split by flop type and suit. The exact count puts ATo at 74.17% and KTo at 25.83% when the two hands see all five board cards. ## ATo against KTo: the numbers **Exact preflop results for ATo against KTo, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | ATo | 73.178 | 1.993 | 24.829 | 74.174 | | KTo | 24.829 | 1.993 | 73.178 | 25.826 | Each side holds one of the offsuit hands: ATo and KTo. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up. ATo is the clear favorite, though KTo gets there on roughly one board in 4. Of every 100 boards, about 1.99 are split pots, and the equity figures already include them. By strength against a random hand, ATo holds place 19 of 169 and KTo holds place 33. **Boards behind the percentages: 184,928,832 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | ATo | 135,327,000 | 3,686,000 | 45,916,000 | | KTo | 45,916,000 | 3,686,000 | 135,327,000 | 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. **ATo against KTo 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 | 2.872 | 1.367 | 4.028 | 0.348 | | KTo | 0.348 | 4.028 | 1.367 | 2.872 | 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 By flop texture, ATo's equity runs from 68.49% on monotone flops up to 85.73% on low rainbow flops (nine high or lower). 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 KTo by flop texture, in percent** | Flop | Share of flops | ATo wins | Ties | KTo wins | ATo equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 23.275 | 69.535 | 1.427 | 29.038 | 70.249 | | Rainbow, nine or lower | 7.771 | 84.001 | 3.467 | 12.532 | 85.734 | | Two-tone | 46.477 | 72.552 | 1.862 | 25.586 | 73.483 | | Monotone | 5.144 | 67.153 | 2.671 | 30.176 | 68.489 | | Paired | 17.333 | 76.681 | 2.242 | 21.077 | 77.802 | 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: 62.72% for ATo, 59.74% for KTo. Here the change is +11.45 and -33.91 points. **ATo and KTo 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 | 74.174 | 62.722 | +11.452 | 1.18258 | | ATo, rainbow, ten or higher | 70.249 | 62.722 | +7.527 | 1.12001 | | ATo, rainbow, nine or lower | 85.734 | 62.722 | +23.012 | 1.36689 | | ATo, two-tone | 73.483 | 62.722 | +10.761 | 1.17157 | | ATo, monotone | 68.489 | 62.722 | +5.767 | 1.09195 | | ATo, paired | 77.802 | 62.722 | +15.080 | 1.24043 | | KTo, all flops | 25.826 | 59.739 | -33.913 | 0.43231 | | KTo, rainbow, ten or higher | 29.751 | 59.739 | -29.988 | 0.49802 | | KTo, rainbow, nine or lower | 14.266 | 59.739 | -45.473 | 0.23881 | | KTo, two-tone | 26.517 | 59.739 | -33.222 | 0.44388 | | KTo, monotone | 31.511 | 59.739 | -28.228 | 0.52748 | | KTo, paired | 22.198 | 59.739 | -37.541 | 0.37158 | ## Does a shared suit matter? Split by suits, the deals give ATo 74.28% when the hands overlap in a suit and 73.82% when they do not. ATo does better with a shared suit, by 0.46 points. **ATo against KTo by suit overlap, in percent** | Deals | Specific deals | Share of deals | ATo wins | Ties | KTo wins | ATo equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 84 | 77.78 | 73.267 | 2.018 | 24.715 | 74.276 | | No shared suit | 24 | 22.22 | 72.865 | 1.905 | 25.230 | 73.818 | ## How often this matchup comes up Exactly 108 specific deals fit this matchup in one seat order, which is 0.0066% of 1,624,350; both orders together give 216, or 0.0133%. ## A worked example To see what the equity is worth, imagine $100 each in a $200 pot. ATo is worth $148.34 on average (+$48.34); KTo is worth $51.66 (-$48.34). A thousand deals look like this: ATo takes 732, KTo takes 248, 20 are ties. ## The same matchup from the other side KTo against ATo adds nothing new: it is 25.83% for KTo and 74.17% for ATo, the same figures reversed. ## Keep exploring Try AsTh against KdTc 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 AsTh against KdTc in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsTh&p2=KdTc) - [ATo combos](https://georgelipoker.com/combos/ato.md) - [KTo combos](https://georgelipoker.com/combos/kto.md) - [ATo vs QTs](https://georgelipoker.com/equity/ato-vs-qts.md) - [ATo vs A4s](https://georgelipoker.com/equity/ato-vs-a4s.md) - [KJs vs KTo](https://georgelipoker.com/equity/kjs-vs-kto.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 - [ATo vs QTs: preflop equity](https://georgelipoker.com/equity/ato-vs-qts.md) - [ATo vs A4s: preflop equity](https://georgelipoker.com/equity/ato-vs-a4s.md) - [KJs vs KTo: preflop equity](https://georgelipoker.com/equity/kjs-vs-kto.md)