--- title: "ATo vs A2s: preflop equity" url: "https://georgelipoker.com/equity/ato-vs-a2s.md" canonical_url: "https://georgelipoker.com/equity/ato-vs-a2s" last_updated: "2026-10-23" type: "reference" summary: "ATo is a big favorite over A2s before the flop: 67.10% to 32.90% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/ato-vs-qto.md", "https://georgelipoker.com/equity/ato-vs-44.md", "https://georgelipoker.com/equity/kjs-vs-a2s.md"] --- # ATo vs A2s: preflop equity ATo is a big favorite over A2s before the flop: 67.10% to 32.90% equity, counted exactly over every board, with the split by flop type and suit. Averaged over every possible board, ATo is ahead of A2s by 34.20 points of equity, 67.10% to 32.90%. ## ATo against A2s: the numbers **Exact preflop results for ATo against A2s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | ATo | 61.859 | 10.475 | 27.666 | 67.096 | | A2s | 27.666 | 10.475 | 61.859 | 32.904 | ATo, an offsuit hand, plays A2s, a suited hand. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing. That is a clear edge, 67.10% to 32.90%, but A2s still wins often enough that one hand proves nothing. The tie share is 10.48%: on those boards the pot is chopped and neither hand wins outright. For context, ATo sits at number 19 of 169 starting hands and A2s at number 46 when each is run against a random hand. **Boards behind the percentages: 61,642,944 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | ATo | 38,132,000 | 6,457,000 | 17,054,000 | | A2s | 17,054,000 | 6,457,000 | 38,132,000 | Exact total: 36 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate. **ATo against A2s 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 | 2.039 | 1.617 | 3.615 | 0.490 | | A2s | 0.490 | 3.615 | 1.617 | 2.039 | 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 By flop texture, ATo's equity runs from 56.95% on low rainbow flops (nine high or lower) up to 73.97% 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 A2s by flop texture, in percent** | Flop | Share of flops | ATo wins | Ties | A2s wins | ATo equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 23.905 | 69.607 | 8.720 | 21.673 | 73.967 | | Rainbow, nine or lower | 7.042 | 54.787 | 4.333 | 40.880 | 56.954 | | Two-tone | 46.527 | 62.801 | 7.304 | 29.895 | 66.453 | | Monotone | 5.192 | 58.963 | 7.729 | 33.308 | 62.828 | | Paired | 17.334 | 52.385 | 24.722 | 22.893 | 64.746 | 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 57.38% for A2s. This opponent changes them by +4.38 and -24.48 points. **ATo and A2s 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 | 67.096 | 62.722 | +4.374 | 1.06974 | | ATo, rainbow, ten or higher | 73.967 | 62.722 | +11.245 | 1.17928 | | ATo, rainbow, nine or lower | 56.954 | 62.722 | -5.768 | 0.90804 | | ATo, two-tone | 66.453 | 62.722 | +3.731 | 1.05948 | | ATo, monotone | 62.828 | 62.722 | +0.106 | 1.00169 | | ATo, paired | 64.746 | 62.722 | +2.024 | 1.03227 | | A2s, all flops | 32.904 | 57.379 | -24.475 | 0.57345 | | A2s, rainbow, ten or higher | 26.033 | 57.379 | -31.346 | 0.45370 | | A2s, rainbow, nine or lower | 43.046 | 57.379 | -14.333 | 0.75020 | | A2s, two-tone | 33.547 | 57.379 | -23.832 | 0.58466 | | A2s, monotone | 37.172 | 57.379 | -20.207 | 0.64783 | | A2s, paired | 35.254 | 57.379 | -22.125 | 0.61441 | ## Does a shared suit matter? Does suit overlap move the numbers? ATo has 67.91% when the hands share a suit and 66.69% when they do not. ATo does better with a shared suit, by 1.22 points. **ATo against A2s by suit overlap, in percent** | Deals | Specific deals | Share of deals | ATo wins | Ties | A2s wins | ATo equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 12 | 33.33 | 62.604 | 10.607 | 26.789 | 67.907 | | No shared suit | 24 | 66.67 | 61.486 | 10.409 | 28.105 | 66.690 | ## How often this matchup comes up You will meet this exact matchup 0.0044% of the time in a random heads-up deal: 72 of 1,624,350, counting either seat order. ## A worked example Take a $200 pot built from $100 each. ATo's equity of 67.10% is worth $134.20, a $34.20 edge, and A2s' 32.90% is worth $65.80, which is $34.20 under its stake. Think in thousands: about 618 of 1,000 go to ATo, about 277 go to A2s, and about 105 are chopped. ## The same matchup from the other side The reversed view, A2s against ATo, shows 32.90% for A2s and 67.10% for ATo. It is the same count, so it redirects here. ## Keep exploring The calculator link fills in AsTh against Ad2d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength. - [Open AsTh against Ad2d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsTh&p2=Ad2d) - [ATo combos](https://georgelipoker.com/combos/ato.md) - [A2s combos](https://georgelipoker.com/combos/a2s.md) - [ATo vs QTo](https://georgelipoker.com/equity/ato-vs-qto.md) - [ATo vs 44](https://georgelipoker.com/equity/ato-vs-44.md) - [KJs vs A2s](https://georgelipoker.com/equity/kjs-vs-a2s.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed We counted every case. Each suit pattern of the 36 specific ATo against A2s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops. Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used. ## Related - [ATo vs QTo: preflop equity](https://georgelipoker.com/equity/ato-vs-qto.md) - [ATo vs 44: preflop equity](https://georgelipoker.com/equity/ato-vs-44.md) - [KJs vs A2s: preflop equity](https://georgelipoker.com/equity/kjs-vs-a2s.md)