--- title: "A4s vs A3s: preflop equity" url: "https://georgelipoker.com/equity/a4s-vs-a3s.md" canonical_url: "https://georgelipoker.com/equity/a4s-vs-a3s" last_updated: "2026-10-23" type: "reference" summary: "A4s vs A3s is close to a coin flip before the flop: 52.76% to 47.24% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/a4s-vs-qjo.md", "https://georgelipoker.com/equity/a4s-vs-k9o.md", "https://georgelipoker.com/equity/qts-vs-a3s.md"] --- # A4s vs A3s: preflop equity A4s vs A3s is close to a coin flip before the flop: 52.76% to 47.24% equity, counted exactly over every board, with the split by flop type and suit. If A4s and A3s get all the chips in before the flop, A4s owns 52.76% of the pot in the long run and A3s owns 47.24%. ## A4s against A3s: the numbers **Exact preflop results for A4s against A3s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | A4s | 30.842 | 43.840 | 25.318 | 52.762 | | A3s | 25.318 | 43.840 | 30.842 | 47.238 | This is a contest between two suited hands, A4s and A3s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up. A4s leads by less than 6 points of equity, so the result of any one deal is close to a toss-up. Of every 100 boards, about 43.84 are split pots, and the equity figures already include them. Among the 169 starting hands, A4s is number 35 and A3s is number 38 by strength against a random hand. **Boards behind the percentages: 20,547,648 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | A4s | 6,337,000 | 9,008,000 | 5,202,000 | | A3s | 5,202,000 | 9,008,000 | 6,337,000 | Exact total: 12 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. **A4s 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) | | --- | --- | --- | --- | --- | | A4s | 1.117 | 3.242 | 3.950 | 0.895 | | A3s | 0.895 | 3.950 | 3.242 | 1.117 | 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 By flop texture, A4s' equity runs from 51.17% on paired flops up to 56.01% on low rainbow flops (nine high or lower). A4s stays ahead on all five textures. **A4s against A3s by flop texture, in percent** | Flop | Share of flops | A4s wins | Ties | A3s wins | A4s equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 24.526 | 27.822 | 49.613 | 22.565 | 52.629 | | Rainbow, nine or lower | 6.383 | 40.316 | 31.380 | 28.304 | 56.006 | | Two-tone | 46.543 | 33.069 | 39.885 | 27.046 | 53.011 | | Monotone | 5.215 | 37.110 | 30.733 | 32.157 | 52.477 | | Paired | 17.333 | 23.759 | 54.825 | 21.416 | 51.171 | Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank. ## Compared with a random hand The table below sets each hand against its own random-hand baseline: a change of -6.27 points for A4s, from 59.03%, and -10.98 for A3s, from 58.22%. **A4s 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 | | --- | --- | --- | --- | --- | | A4s, all flops | 52.762 | 59.034 | -6.272 | 0.89376 | | A4s, rainbow, ten or higher | 52.629 | 59.034 | -6.405 | 0.89150 | | A4s, rainbow, nine or lower | 56.006 | 59.034 | -3.028 | 0.94871 | | A4s, two-tone | 53.011 | 59.034 | -6.023 | 0.89797 | | A4s, monotone | 52.477 | 59.034 | -6.557 | 0.88893 | | A4s, paired | 51.171 | 59.034 | -7.863 | 0.86681 | | A3s, all flops | 47.238 | 58.220 | -10.982 | 0.81137 | | A3s, rainbow, ten or higher | 47.371 | 58.220 | -10.849 | 0.81366 | | A3s, rainbow, nine or lower | 43.994 | 58.220 | -14.226 | 0.75565 | | A3s, two-tone | 46.989 | 58.220 | -11.231 | 0.80709 | | A3s, monotone | 47.523 | 58.220 | -10.697 | 0.81627 | | A3s, paired | 48.829 | 58.220 | -9.391 | 0.83870 | ## Does a shared suit matter? Suits do not split this matchup, because no legal deal has the hands holding the same suit. **A4s against A3s by suit overlap, in percent** | Deals | Specific deals | Share of deals | A4s wins | Ties | A3s wins | A4s equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible | | No shared suit | 12 | 100.00 | 30.842 | 43.840 | 25.318 | 52.762 | ## How often this matchup comes up A4s against A3s is made up of 12 specific-card matchups in one seat order, 0.0007% of the 1,624,350 ordered deals, and 24 counting both seat orders, 0.0015%. ## A worked example With $100 from each side, the $200 pot is split on average as $105.52 for A4s and $94.48 for A3s; the first side gains $5.52 per all-in and the second gives up $5.52. Think in thousands: about 309 of 1,000 go to A4s, about 253 go to A3s, and about 438 are chopped. ## The same matchup from the other side Read it from the other side: A3s against A4s is the same matchup with the numbers swapped, so A3s holds 47.24% and A4s holds 52.76%. That address sends you back to this page. ## Keep exploring As4s against Ah3h 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 As4s against Ah3h in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=As4s&p2=Ah3h) - [A4s combos](https://georgelipoker.com/combos/a4s.md) - [A3s combos](https://georgelipoker.com/combos/a3s.md) - [A4s vs QJo](https://georgelipoker.com/equity/a4s-vs-qjo.md) - [A4s vs K9o](https://georgelipoker.com/equity/a4s-vs-k9o.md) - [QTs vs A3s](https://georgelipoker.com/equity/qts-vs-a3s.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed Method: exact enumeration. The 12 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 - [A4s vs QJo: preflop equity](https://georgelipoker.com/equity/a4s-vs-qjo.md) - [A4s vs K9o: preflop equity](https://georgelipoker.com/equity/a4s-vs-k9o.md) - [QTs vs A3s: preflop equity](https://georgelipoker.com/equity/qts-vs-a3s.md)