--- title: "ATo vs K9s: preflop equity" url: "https://georgelipoker.com/equity/ato-vs-k9s.md" canonical_url: "https://georgelipoker.com/equity/ato-vs-k9s" last_updated: "2026-10-23" type: "reference" summary: "ATo is a big favorite over K9s before the flop: 60.76% to 39.24% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/ato-vs-a5s.md", "https://georgelipoker.com/equity/ato-vs-a6s.md", "https://georgelipoker.com/equity/kjs-vs-k9s.md"] --- # ATo vs K9s: preflop equity ATo is a big favorite over K9s before the flop: 60.76% to 39.24% equity, counted exactly over every board, with the split by flop type and suit. Counting every board, the equity split is 60.76% for ATo and 39.24% for K9s, so ATo leads by 21.52 points. ## ATo against K9s: the numbers **Exact preflop results for ATo against K9s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | ATo | 60.540 | 0.448 | 39.012 | 60.764 | | K9s | 39.012 | 0.448 | 60.540 | 39.236 | ATo and K9s are an offsuit hand and a suited hand, in that order. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits. The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are 0.45% of the outcomes here; each tied board gives both hands half the pot. Ranked by equity against a random hand, ATo is number 19 of the 169 starting hands and K9s is number 29. **Boards behind the percentages: 82,190,592 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | ATo | 49,758,000 | 368,000 | 32,064,000 | | K9s | 32,064,000 | 368,000 | 49,758,000 | The board total is exact, 48 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 K9s 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 | 1.549 | 1.652 | 2.563 | 0.646 | | K9s | 0.646 | 2.563 | 1.652 | 1.549 | The final column gives the least the pot must offer for each unit called for a call to break even at this equity. ## Who is ahead on which flops Break the boards down by their first three cards and ATo is strongest on paired flops (63.63%) and weakest on monotone flops (57.73%). ATo stays ahead on all five textures. **ATo against K9s by flop texture, in percent** | Flop | Share of flops | ATo wins | Ties | K9s wins | ATo equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 23.988 | 63.422 | 0.156 | 36.422 | 63.500 | | Rainbow, nine or lower | 7.042 | 57.386 | 0.785 | 41.829 | 57.779 | | Two-tone | 46.667 | 58.963 | 0.271 | 40.766 | 59.098 | | Monotone | 5.212 | 56.546 | 2.368 | 41.086 | 57.730 | | Paired | 17.091 | 63.317 | 0.616 | 36.067 | 63.625 | 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 A random hand would give ATo 62.72% and K9s 59.99%. Against each other the change is -1.96 points for ATo and -20.75 for K9s. **ATo and K9s 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 | 60.764 | 62.722 | -1.958 | 0.96878 | | ATo, rainbow, ten or higher | 63.500 | 62.722 | +0.778 | 1.01240 | | ATo, rainbow, nine or lower | 57.779 | 62.722 | -4.943 | 0.92119 | | ATo, two-tone | 59.098 | 62.722 | -3.624 | 0.94222 | | ATo, monotone | 57.730 | 62.722 | -4.992 | 0.92041 | | ATo, paired | 63.625 | 62.722 | +0.903 | 1.01440 | | K9s, all flops | 39.236 | 59.988 | -20.752 | 0.65406 | | K9s, rainbow, ten or higher | 36.500 | 59.988 | -23.488 | 0.60846 | | K9s, rainbow, nine or lower | 42.221 | 59.988 | -17.767 | 0.70382 | | K9s, two-tone | 40.902 | 59.988 | -19.086 | 0.68184 | | K9s, monotone | 42.270 | 59.988 | -17.718 | 0.70464 | | K9s, paired | 36.375 | 59.988 | -23.613 | 0.60637 | ## Does a shared suit matter? Suit overlap shows up in the numbers. With a suit in common ATo has 61.34% equity, and with none in common it has 60.19%. ATo does better with a shared suit, by 1.15 points. **ATo against K9s by suit overlap, in percent** | Deals | Specific deals | Share of deals | ATo wins | Ties | K9s wins | ATo equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 24 | 50.00 | 61.092 | 0.489 | 38.419 | 61.336 | | No shared suit | 24 | 50.00 | 59.988 | 0.407 | 39.605 | 60.191 | ## How often this matchup comes up The class pair covers 48 combinations of specific cards in a fixed seat order, 0.0030% of 1,624,350, and 96 (0.0059%) in either order. ## A worked example Take a $200 pot built from $100 each. ATo's equity of 60.76% is worth $121.52, a $21.52 edge, and K9s' 39.24% is worth $78.48, which is $21.52 under its stake. Run 1,000 deals and the tally comes out near 605 for ATo, 390 for K9s and 5 ties. ## The same matchup from the other side K9s against ATo adds nothing new: it is 39.24% for K9s and 60.76% for ATo, the same figures reversed. ## Keep exploring Open the calculator with AsTh against Kd9d 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 AsTh against Kd9d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsTh&p2=Kd9d) - [ATo combos](https://georgelipoker.com/combos/ato.md) - [K9s combos](https://georgelipoker.com/combos/k9s.md) - [ATo vs A5s](https://georgelipoker.com/equity/ato-vs-a5s.md) - [ATo vs A6s](https://georgelipoker.com/equity/ato-vs-a6s.md) - [KJs vs K9s](https://georgelipoker.com/equity/kjs-vs-k9s.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed Method: exact enumeration. The 48 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 A5s: preflop equity](https://georgelipoker.com/equity/ato-vs-a5s.md) - [ATo vs A6s: preflop equity](https://georgelipoker.com/equity/ato-vs-a6s.md) - [KJs vs K9s: preflop equity](https://georgelipoker.com/equity/kjs-vs-k9s.md)