--- title: "AA vs A3s: preflop equity" url: "https://georgelipoker.com/equity/aa-vs-a3s.md" canonical_url: "https://georgelipoker.com/equity/aa-vs-a3s" last_updated: "2026-10-23" type: "reference" summary: "AA is a big favorite over A3s before the flop: 87.49% to 12.51% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/aa-vs-qjo.md", "https://georgelipoker.com/equity/aa-vs-k9o.md", "https://georgelipoker.com/equity/kk-vs-a3s.md"] --- # AA vs A3s: preflop equity AA is a big favorite over A3s before the flop: 87.49% to 12.51% equity, counted exactly over every board, with the split by flop type and suit. Counting every board, the equity split is 87.49% for AA and 12.51% for A3s, so AA leads by 74.98 points. ## AA against A3s: the numbers **Exact preflop results for AA against A3s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | AA | 86.845 | 1.296 | 11.859 | 87.493 | | A3s | 11.859 | 1.296 | 86.845 | 12.507 | One side is a pocket pair, the other is a suited hand. One hand holds a card of the same rank as the pair, which removes a card the pair needs and makes the pair a bigger favorite. A gap this wide means A3s is in trouble before the flop and has few good runouts. Split pots make up 1.30% of the boards, and both equity figures count them as half a win each. In the ranking of all 169 starting hands, AA is number 1 and A3s is number 38. **Boards behind the percentages: 20,547,648 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | AA | 17,845,000 | 266,000 | 2,437,000 | | A3s | 2,437,000 | 266,000 | 17,845,000 | The total is exact: 12 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. **AA 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) | | --- | --- | --- | --- | --- | | AA | 6.996 | 1.151 | 8.432 | 0.143 | | A3s | 0.143 | 8.432 | 1.151 | 6.996 | 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, AA's equity runs from 77.40% on monotone flops up to 92.61% on rainbow flops topped by a ten or better. AA stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal. **AA against A3s by flop texture, in percent** | Flop | Share of flops | AA wins | Ties | A3s wins | AA equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 23.740 | 92.004 | 1.219 | 6.777 | 92.613 | | Rainbow, nine or lower | 7.042 | 84.420 | 2.544 | 13.036 | 85.692 | | Two-tone | 46.236 | 85.348 | 1.375 | 13.277 | 86.036 | | Monotone | 5.151 | 76.210 | 2.370 | 21.420 | 77.395 | | Paired | 17.831 | 87.887 | 0.393 | 11.720 | 88.084 | 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, 85.20% for AA and 58.22% for A3s. This opponent changes them by +2.29 and -45.71 points. **AA 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 | | --- | --- | --- | --- | --- | | AA, all flops | 87.493 | 85.204 | +2.289 | 1.02686 | | AA, rainbow, ten or higher | 92.613 | 85.204 | +7.409 | 1.08696 | | AA, rainbow, nine or lower | 85.692 | 85.204 | +0.488 | 1.00573 | | AA, two-tone | 86.036 | 85.204 | +0.832 | 1.00976 | | AA, monotone | 77.395 | 85.204 | -7.809 | 0.90835 | | AA, paired | 88.084 | 85.204 | +2.880 | 1.03380 | | A3s, all flops | 12.507 | 58.220 | -45.713 | 0.21482 | | A3s, rainbow, ten or higher | 7.387 | 58.220 | -50.833 | 0.12688 | | A3s, rainbow, nine or lower | 14.308 | 58.220 | -43.912 | 0.24576 | | A3s, two-tone | 13.964 | 58.220 | -44.256 | 0.23985 | | A3s, monotone | 22.605 | 58.220 | -35.615 | 0.38827 | | A3s, paired | 11.916 | 58.220 | -46.304 | 0.20467 | ## Does a shared suit matter? These two classes cannot share a suit in any legal deal, so there is only one row to read: AA holds 87.49% in every deal of this matchup. **AA against A3s by suit overlap, in percent** | Deals | Specific deals | Share of deals | AA wins | Ties | A3s wins | AA equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible | | No shared suit | 12 | 100.00 | 86.845 | 1.296 | 11.859 | 87.493 | ## How often this matchup comes up Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%. ## A worked example Say each player puts $100 in before the flop, making a $200 pot. On average AA takes back $174.98 of it, which is $74.98 more than it put in, and A3s takes back $25.02, $74.98 less than it put in. Think in thousands: about 868 of 1,000 go to AA, about 119 go to A3s, and about 13 are chopped. ## The same matchup from the other side The mirror image, A3s against AA, is 12.51% to 87.49%, and its address redirects to this page. ## Keep exploring Open the calculator with AsAh against Ad3d 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 AsAh against Ad3d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsAh&p2=Ad3d) - [AA combos](https://georgelipoker.com/combos/aa.md) - [A3s combos](https://georgelipoker.com/combos/a3s.md) - [AA vs QJo](https://georgelipoker.com/equity/aa-vs-qjo.md) - [AA vs K9o](https://georgelipoker.com/equity/aa-vs-k9o.md) - [KK vs A3s](https://georgelipoker.com/equity/kk-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 12 ways to deal one AA 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 - [AA vs QJo: preflop equity](https://georgelipoker.com/equity/aa-vs-qjo.md) - [AA vs K9o: preflop equity](https://georgelipoker.com/equity/aa-vs-k9o.md) - [KK vs A3s: preflop equity](https://georgelipoker.com/equity/kk-vs-a3s.md)