--- title: "ATo vs A7s: preflop equity" url: "https://georgelipoker.com/equity/ato-vs-a7s.md" canonical_url: "https://georgelipoker.com/equity/ato-vs-a7s" last_updated: "2026-10-23" type: "reference" summary: "ATo is a big favorite over A7s before the flop: 67.34% to 32.66% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/ato-vs-a9o.md", "https://georgelipoker.com/equity/ato-vs-kjo.md", "https://georgelipoker.com/equity/kjs-vs-a7s.md"] --- # ATo vs A7s: preflop equity ATo is a big favorite over A7s before the flop: 67.34% to 32.66% equity, counted exactly over every board, with the split by flop type and suit. Before any board card is dealt, ATo holds 67.34% equity against A7s, which leaves A7s with 32.66%. ## ATo against A7s: the numbers **Exact preflop results for ATo against A7s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | ATo | 62.258 | 10.156 | 27.586 | 67.336 | | A7s | 27.586 | 10.156 | 62.258 | 32.664 | The first hand is an offsuit hand; the second is a suited hand. 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 34.68 points is large but not decisive: A7s still takes about 276 of every 1,000 deals. A split pot comes up on 10.16% of boards, so the wins and the equity differ by half of that. In the ranking of all 169 starting hands, ATo is number 19 and A7s is number 24. **Boards behind the percentages: 61,642,944 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | ATo | 38,378,000 | 6,260,000 | 17,005,000 | | A7s | 17,005,000 | 6,260,000 | 38,378,000 | 36 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand. **ATo against A7s 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 | 2.061 | 1.606 | 3.625 | 0.485 | | A7s | 0.485 | 3.625 | 1.606 | 2.061 | 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 Rainbow flops topped by a ten or better are the best for ATo (74.24%); low rainbow flops (nine high or lower) are the worst (57.74%). 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 A7s by flop texture, in percent** | Flop | Share of flops | ATo wins | Ties | A7s wins | ATo equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 23.905 | 69.964 | 8.556 | 21.480 | 74.242 | | Rainbow, nine or lower | 7.042 | 55.697 | 4.077 | 40.226 | 57.736 | | Two-tone | 46.527 | 63.235 | 7.102 | 29.663 | 66.786 | | Monotone | 5.192 | 59.220 | 7.501 | 33.279 | 62.971 | | Paired | 17.334 | 52.585 | 23.824 | 23.591 | 64.497 | 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 Start from the random-hand figures, 62.72% for ATo and 60.98% for A7s. This opponent changes them by +4.62 and -28.32 points. **ATo and A7s 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 | 67.336 | 62.722 | +4.614 | 1.07356 | | ATo, rainbow, ten or higher | 74.242 | 62.722 | +11.520 | 1.18367 | | ATo, rainbow, nine or lower | 57.736 | 62.722 | -4.986 | 0.92051 | | ATo, two-tone | 66.786 | 62.722 | +4.064 | 1.06479 | | ATo, monotone | 62.971 | 62.722 | +0.249 | 1.00397 | | ATo, paired | 64.497 | 62.722 | +1.775 | 1.02830 | | A7s, all flops | 32.664 | 60.984 | -28.320 | 0.53562 | | A7s, rainbow, ten or higher | 25.758 | 60.984 | -35.226 | 0.42237 | | A7s, rainbow, nine or lower | 42.264 | 60.984 | -18.720 | 0.69303 | | A7s, two-tone | 33.214 | 60.984 | -27.770 | 0.54463 | | A7s, monotone | 37.029 | 60.984 | -23.955 | 0.60719 | | A7s, paired | 35.503 | 60.984 | -25.481 | 0.58217 | ## Does a shared suit matter? Looking only at deals where the hands share a suit, ATo has 68.13%; looking only at deals where they do not, 66.94%. ATo does better with a shared suit, by 1.19 points. **ATo against A7s by suit overlap, in percent** | Deals | Specific deals | Share of deals | ATo wins | Ties | A7s wins | ATo equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 12 | 33.33 | 62.990 | 10.285 | 26.725 | 68.132 | | No shared suit | 24 | 66.67 | 61.892 | 10.092 | 28.016 | 66.938 | ## How often this matchup comes up How often does it happen? 36 of the 1,624,350 ordered deals (0.0022%) are ATo against A7s, and 72 (0.0044%) if either hand may sit in either seat. ## A worked example To see what the equity is worth, imagine $100 each in a $200 pot. ATo is worth $134.68 on average (+$34.68); A7s is worth $65.32 (-$34.68). In 1,000 deals of exactly this matchup, expect about 623 won outright by ATo, about 276 won outright by A7s and about 101 split. ## The same matchup from the other side The reversed view, A7s against ATo, shows 32.66% for A7s and 67.34% for ATo. It is the same count, so it redirects here. ## Keep exploring Try AsTh against Ad7d 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 Ad7d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsTh&p2=Ad7d) - [ATo combos](https://georgelipoker.com/combos/ato.md) - [A7s combos](https://georgelipoker.com/combos/a7s.md) - [ATo vs A9o](https://georgelipoker.com/equity/ato-vs-a9o.md) - [ATo vs KJo](https://georgelipoker.com/equity/ato-vs-kjo.md) - [KJs vs A7s](https://georgelipoker.com/equity/kjs-vs-a7s.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 A7s 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 A9o: preflop equity](https://georgelipoker.com/equity/ato-vs-a9o.md) - [ATo vs KJo: preflop equity](https://georgelipoker.com/equity/ato-vs-kjo.md) - [KJs vs A7s: preflop equity](https://georgelipoker.com/equity/kjs-vs-a7s.md)