--- title: "ATo vs A3s: preflop equity" url: "https://georgelipoker.com/equity/ato-vs-a3s.md" canonical_url: "https://georgelipoker.com/equity/ato-vs-a3s" last_updated: "2026-10-23" type: "reference" summary: "ATo is a big favorite over A3s before the flop: 66.64% to 33.36% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/ato-vs-qjo.md", "https://georgelipoker.com/equity/ato-vs-k9o.md", "https://georgelipoker.com/equity/kjs-vs-a3s.md"] --- # ATo vs A3s: preflop equity ATo is a big favorite over A3s before the flop: 66.64% to 33.36% equity, counted exactly over every board, with the split by flop type and suit. If ATo and A3s get all the chips in before the flop, ATo owns 66.64% of the pot in the long run and A3s owns 33.36%. ## ATo against A3s: the numbers **Exact preflop results for ATo against A3s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | ATo | 61.453 | 10.381 | 28.166 | 66.643 | | A3s | 28.166 | 10.381 | 61.453 | 33.357 | ATo is an offsuit hand and A3s is a suited hand. 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. ATo is the clear favorite, though A3s gets there on roughly one board in 3. Split pots make up 10.38% of the boards, and both equity figures count them as half a win each. The hand ranking puts ATo at 19 and A3s at 38 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 | | --- | --- | --- | --- | | ATo | 37,881,000 | 6,399,000 | 17,362,000 | | A3s | 17,362,000 | 6,399,000 | 37,881,000 | The total is exact: 36 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. **ATo 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) | | --- | --- | --- | --- | --- | | ATo | 1.998 | 1.627 | 3.550 | 0.501 | | A3s | 0.501 | 3.550 | 1.627 | 1.998 | 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 Across the five flop textures ATo's equity moves by 18.00 points, from 55.68% on low rainbow flops (nine high or lower) to 73.68% on rainbow flops topped by a ten or better. 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 A3s by flop texture, in percent** | Flop | Share of flops | ATo wins | Ties | A3s wins | ATo equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 23.905 | 69.342 | 8.681 | 21.977 | 73.682 | | Rainbow, nine or lower | 7.042 | 53.588 | 4.182 | 42.230 | 55.679 | | Two-tone | 46.527 | 62.365 | 7.243 | 30.392 | 65.986 | | Monotone | 5.192 | 58.658 | 7.673 | 33.669 | 62.495 | | Paired | 17.334 | 52.158 | 24.475 | 23.367 | 64.396 | 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 Each hand has a baseline against a random hand: 62.72% for ATo, 58.22% for A3s. Here the change is +3.92 and -24.86 points. **ATo 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 | | --- | --- | --- | --- | --- | | ATo, all flops | 66.643 | 62.722 | +3.921 | 1.06251 | | ATo, rainbow, ten or higher | 73.682 | 62.722 | +10.960 | 1.17474 | | ATo, rainbow, nine or lower | 55.679 | 62.722 | -7.043 | 0.88771 | | ATo, two-tone | 65.986 | 62.722 | +3.264 | 1.05204 | | ATo, monotone | 62.495 | 62.722 | -0.227 | 0.99638 | | ATo, paired | 64.396 | 62.722 | +1.674 | 1.02669 | | A3s, all flops | 33.357 | 58.220 | -24.863 | 0.57295 | | A3s, rainbow, ten or higher | 26.318 | 58.220 | -31.902 | 0.45204 | | A3s, rainbow, nine or lower | 44.321 | 58.220 | -13.899 | 0.76127 | | A3s, two-tone | 34.014 | 58.220 | -24.206 | 0.58423 | | A3s, monotone | 37.505 | 58.220 | -20.715 | 0.64419 | | A3s, paired | 35.604 | 58.220 | -22.616 | 0.61154 | ## Does a shared suit matter? Two kinds of deal exist here. In 12 of them the hands share a suit and ATo holds 67.45%. In 24 they do not, and it holds 66.24%. ATo does better with a shared suit, by 1.21 points. **ATo against A3s by suit overlap, in percent** | Deals | Specific deals | Share of deals | ATo wins | Ties | A3s wins | ATo equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 12 | 33.33 | 62.192 | 10.512 | 27.296 | 67.448 | | No shared suit | 24 | 66.67 | 61.083 | 10.315 | 28.602 | 66.241 | ## How often this matchup comes up Out of 1,624,350 ways to deal two seats two cards each, 36 are ATo in one seat and A3s in the other (0.0022%); with the seats swapped too, 72 (0.0044%). ## A worked example Worked example: both players commit $100, so $200 sits in the middle. Over every board, ATo's average share is $133.28 (a gain of $33.28) and A3s' is $66.72 (a loss of $33.28). In 1,000 deals of exactly this matchup, expect about 614 won outright by ATo, about 282 won outright by A3s and about 104 split. ## The same matchup from the other side A3s versus ATo is this same page seen from the other hand: 33.36% for A3s, 66.64% for ATo. ## Keep exploring AsTh 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 AsTh against Ad3d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsTh&p2=Ad3d) - [ATo combos](https://georgelipoker.com/combos/ato.md) - [A3s combos](https://georgelipoker.com/combos/a3s.md) - [ATo vs QJo](https://georgelipoker.com/equity/ato-vs-qjo.md) - [ATo vs K9o](https://georgelipoker.com/equity/ato-vs-k9o.md) - [KJs vs A3s](https://georgelipoker.com/equity/kjs-vs-a3s.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed This is an exact count with no sampling. For the 36 ways to deal one ATo and one A3s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops. Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used. ## Related - [ATo vs QJo: preflop equity](https://georgelipoker.com/equity/ato-vs-qjo.md) - [ATo vs K9o: preflop equity](https://georgelipoker.com/equity/ato-vs-k9o.md) - [KJs vs A3s: preflop equity](https://georgelipoker.com/equity/kjs-vs-a3s.md)