--- title: "KTo vs A3s: preflop equity" url: "https://georgelipoker.com/equity/kto-vs-a3s.md" canonical_url: "https://georgelipoker.com/equity/kto-vs-a3s" last_updated: "2026-10-23" type: "reference" summary: "Who is ahead, KTo or A3s? A3s leads 59.46% to 40.54% before the flop, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/kto-vs-qjo.md", "https://georgelipoker.com/equity/kto-vs-k9o.md", "https://georgelipoker.com/equity/qts-vs-a3s.md"] --- # KTo vs A3s: preflop equity Who is ahead, KTo or A3s? A3s leads 59.46% to 40.54% before the flop, counted exactly over every board, with the split by flop type and suit. Counting every board, the equity split is 59.46% for A3s and 40.54% for KTo, so A3s leads by 18.92 points. ## KTo against A3s: the numbers **Exact preflop results for KTo against A3s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | KTo | 40.293 | 0.492 | 59.215 | 40.539 | | A3s | 59.215 | 0.492 | 40.293 | 59.461 | KTo is an offsuit hand and A3s is a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances. A3s is ahead, but KTo is far from dead: it takes 403 of every 1,000 deals outright. 0.49% of boards are ties, so the equity of each hand is its win rate plus half of that. The hand ranking puts KTo at 33 and A3s at 38 out of 169 starting hands. **Boards behind the percentages: 82,190,592 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | KTo | 33,117,000 | 404,000 | 48,669,000 | | A3s | 48,669,000 | 404,000 | 33,117,000 | The total is exact: 48 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. **KTo against A3s read as odds** | Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) | | --- | --- | --- | --- | --- | | KTo | 0.682 | 2.482 | 1.689 | 1.467 | | A3s | 1.467 | 1.689 | 2.482 | 0.682 | The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call. ## Who is ahead on which flops Split by what the flop looks like, A3s peaks at 75.91% on low rainbow flops (nine high or lower) and bottoms out at 52.03% on rainbow flops topped by a ten or better. A3s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal. **KTo against A3s by flop texture, in percent** | Flop | Share of flops | KTo wins | Ties | A3s wins | KTo equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 23.988 | 47.889 | 0.169 | 51.942 | 47.973 | | Rainbow, nine or lower | 7.042 | 23.614 | 0.955 | 75.431 | 24.092 | | Two-tone | 46.667 | 40.745 | 0.319 | 58.936 | 40.904 | | Monotone | 5.212 | 42.593 | 2.406 | 55.001 | 43.796 | | Paired | 17.091 | 34.568 | 0.641 | 64.791 | 34.889 | 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 Compared with a random opponent, this matchup shifts KTo from 59.74% by -19.20 points and A3s from 58.22% by +1.24 points. **KTo and A3s 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 | | --- | --- | --- | --- | --- | | KTo, all flops | 40.539 | 59.739 | -19.200 | 0.67860 | | KTo, rainbow, ten or higher | 47.973 | 59.739 | -11.766 | 0.80304 | | KTo, rainbow, nine or lower | 24.092 | 59.739 | -35.647 | 0.40329 | | KTo, two-tone | 40.904 | 59.739 | -18.835 | 0.68471 | | KTo, monotone | 43.796 | 59.739 | -15.943 | 0.73312 | | KTo, paired | 34.889 | 59.739 | -24.850 | 0.58402 | | A3s, all flops | 59.461 | 58.220 | +1.241 | 1.02132 | | A3s, rainbow, ten or higher | 52.027 | 58.220 | -6.193 | 0.89363 | | A3s, rainbow, nine or lower | 75.908 | 58.220 | +17.688 | 1.30381 | | A3s, two-tone | 59.096 | 58.220 | +0.876 | 1.01505 | | A3s, monotone | 56.204 | 58.220 | -2.016 | 0.96537 | | A3s, paired | 65.111 | 58.220 | +6.891 | 1.11836 | ## Does a shared suit matter? Of the deals of this matchup, 24 share a suit (A3s at 59.12%) and 24 do not (59.80%). A3s does better with no shared suit, by 0.68 points. **KTo against A3s by suit overlap, in percent** | Deals | Specific deals | Share of deals | KTo wins | Ties | A3s wins | KTo equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 24 | 50.00 | 40.614 | 0.533 | 58.853 | 40.880 | | No shared suit | 24 | 50.00 | 39.972 | 0.450 | 59.578 | 40.197 | ## How often this matchup comes up KTo against A3s is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%. ## A worked example Take a $200 pot built from $100 each. A3s' equity of 59.46% is worth $118.92, a $18.92 edge, and KTo's 40.54% is worth $81.08, which is $18.92 under its stake. Per 1,000 deals: A3s wins about 592, KTo wins about 403, and about 5 end in a split pot. ## The same matchup from the other side Read it from the other side: A3s against KTo is the same matchup with the numbers swapped, so A3s holds 59.46% and KTo holds 40.54%. That address sends you back to this page. ## Keep exploring KsTh against Ad3d 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 KsTh against Ad3d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=KsTh&p2=Ad3d) - [KTo combos](https://georgelipoker.com/combos/kto.md) - [A3s combos](https://georgelipoker.com/combos/a3s.md) - [KTo vs QJo](https://georgelipoker.com/equity/kto-vs-qjo.md) - [KTo vs K9o](https://georgelipoker.com/equity/kto-vs-k9o.md) - [QTs vs A3s](https://georgelipoker.com/equity/qts-vs-a3s.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of KTo against A3s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains. Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used. ## Related - [KTo vs QJo: preflop equity](https://georgelipoker.com/equity/kto-vs-qjo.md) - [KTo vs K9o: preflop equity](https://georgelipoker.com/equity/kto-vs-k9o.md) - [QTs vs A3s: preflop equity](https://georgelipoker.com/equity/qts-vs-a3s.md)