--- title: "A3s vs 65s: preflop equity" url: "https://georgelipoker.com/equity/a3s-vs-65s.md" canonical_url: "https://georgelipoker.com/equity/a3s-vs-65s" last_updated: "2026-10-23" type: "reference" summary: "Who is ahead, A3s or 65s? A3s leads 56.17% to 43.83% before the flop, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/a3s-vs-54s.md", "https://georgelipoker.com/equity/a3s-vs-64s.md", "https://georgelipoker.com/equity/qjo-vs-65s.md"] --- # A3s vs 65s: preflop equity Who is ahead, A3s or 65s? A3s leads 56.17% to 43.83% before the flop, counted exactly over every board, with the split by flop type and suit. The exact count puts A3s at 56.17% and 65s at 43.83% when the two hands see all five board cards. ## A3s against 65s: the numbers **Exact preflop results for A3s against 65s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | A3s | 55.881 | 0.569 | 43.550 | 56.166 | | 65s | 43.550 | 0.569 | 55.881 | 43.834 | A3s and 65s are both suited hands. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances. That is a modest edge, the kind that shows up over many hands and is easy to miss in one. A split pot comes up on 0.57% of boards, so the wins and the equity differ by half of that. By strength against a random hand, A3s holds place 38 of 169 and 65s holds place 128. **Boards behind the percentages: 27,396,864 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | A3s | 15,310,000 | 156,000 | 11,931,000 | | 65s | 11,931,000 | 156,000 | 15,310,000 | 16 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. **A3s against 65s read as odds** | Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) | | --- | --- | --- | --- | --- | | A3s | 1.281 | 1.790 | 2.296 | 0.780 | | 65s | 0.780 | 2.296 | 1.790 | 1.281 | 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 Across the five flop textures A3s' equity moves by 29.23 points, from 33.12% on low rainbow flops (nine high or lower) to 62.35% on paired flops. The lead reverses on low rainbow flops (nine high or lower): there 65s is the favorite even though A3s is ahead overall. **A3s against 65s by flop texture, in percent** | Flop | Share of flops | A3s wins | Ties | 65s wins | A3s equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 25.220 | 60.009 | 0.255 | 39.736 | 60.136 | | Rainbow, nine or lower | 5.689 | 32.694 | 0.860 | 66.446 | 33.124 | | Two-tone | 46.727 | 54.671 | 0.328 | 45.001 | 54.835 | | Monotone | 5.273 | 52.027 | 3.504 | 44.469 | 53.779 | | Paired | 17.091 | 62.008 | 0.690 | 37.302 | 62.353 | 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 The table below sets each hand against its own random-hand baseline: a change of -2.05 points for A3s, from 58.22%, and +0.70 for 65s, from 43.13%. **A3s and 65s 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 | | --- | --- | --- | --- | --- | | A3s, all flops | 56.166 | 58.220 | -2.054 | 0.96472 | | A3s, rainbow, ten or higher | 60.136 | 58.220 | +1.916 | 1.03291 | | A3s, rainbow, nine or lower | 33.124 | 58.220 | -25.096 | 0.56895 | | A3s, two-tone | 54.835 | 58.220 | -3.385 | 0.94186 | | A3s, monotone | 53.779 | 58.220 | -4.441 | 0.92372 | | A3s, paired | 62.353 | 58.220 | +4.133 | 1.07099 | | 65s, all flops | 43.834 | 43.133 | +0.701 | 1.01625 | | 65s, rainbow, ten or higher | 39.864 | 43.133 | -3.269 | 0.92421 | | 65s, rainbow, nine or lower | 66.876 | 43.133 | +23.743 | 1.55046 | | 65s, two-tone | 45.165 | 43.133 | +2.032 | 1.04711 | | 65s, monotone | 46.221 | 43.133 | +3.088 | 1.07159 | | 65s, paired | 37.647 | 43.133 | -5.486 | 0.87281 | ## Does a shared suit matter? Two kinds of deal exist here. In 4 of them the hands share a suit and A3s holds 57.93%. In 12 they do not, and it holds 55.58%. A3s does better with a shared suit, by 2.35 points. **A3s against 65s by suit overlap, in percent** | Deals | Specific deals | Share of deals | A3s wins | Ties | 65s wins | A3s equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 4 | 25.00 | 57.609 | 0.651 | 41.740 | 57.934 | | No shared suit | 12 | 75.00 | 55.305 | 0.542 | 44.153 | 55.576 | ## How often this matchup comes up Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%. ## A worked example Worked example: both players commit $100, so $200 sits in the middle. Over every board, A3s' average share is $112.34 (a gain of $12.34) and 65s' is $87.66 (a loss of $12.34). A thousand deals look like this: A3s takes 559, 65s takes 435, 6 are ties. ## The same matchup from the other side If you came looking for 65s against A3s, the numbers are the same with the hands swapped: 43.83% and 56.17%. ## Keep exploring Open the calculator with As3s against 6h5h 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 As3s against 6h5h in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=As3s&p2=6h5h) - [A3s combos](https://georgelipoker.com/combos/a3s.md) - [65s combos](https://georgelipoker.com/combos/65s.md) - [A3s vs 54s](https://georgelipoker.com/equity/a3s-vs-54s.md) - [A3s vs 64s](https://georgelipoker.com/equity/a3s-vs-64s.md) - [QJo vs 65s](https://georgelipoker.com/equity/qjo-vs-65s.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed Method: exact enumeration. The 16 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board. Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used. ## Related - [A3s vs 54s: preflop equity](https://georgelipoker.com/equity/a3s-vs-54s.md) - [A3s vs 64s: preflop equity](https://georgelipoker.com/equity/a3s-vs-64s.md) - [QJo vs 65s: preflop equity](https://georgelipoker.com/equity/qjo-vs-65s.md)