--- title: "A7s vs A4s: preflop equity" url: "https://georgelipoker.com/equity/a7s-vs-a4s.md" canonical_url: "https://georgelipoker.com/equity/a7s-vs-a4s" last_updated: "2026-10-23" type: "reference" summary: "A7s is a big favorite over A4s before the flop: 60.32% to 39.69% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/a7s-vs-a3s.md", "https://georgelipoker.com/equity/a7s-vs-qjo.md", "https://georgelipoker.com/equity/a9o-vs-a4s.md"] --- # A7s vs A4s: preflop equity A7s is a big favorite over A4s before the flop: 60.32% to 39.69% equity, counted exactly over every board, with the split by flop type and suit. Averaged over every possible board, A7s is ahead of A4s by 20.64 points of equity, 60.32% to 39.68%. ## A7s against A4s: the numbers **Exact preflop results for A7s against A4s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | A7s | 47.763 | 25.105 | 27.132 | 60.315 | | A4s | 27.132 | 25.105 | 47.763 | 39.685 | Each side holds one of the suited hands: A7s and A4s. 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 modest edge, the kind that shows up over many hands and is easy to miss in one. Split pots make up 25.11% of the boards, and both equity figures count them as half a win each. Among the 169 starting hands, A7s is number 24 and A4s is number 35 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 | | --- | --- | --- | --- | | A7s | 9,814,000 | 5,158,000 | 5,575,000 | | A4s | 5,575,000 | 5,158,000 | 9,814,000 | 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. **A7s against A4s read as odds** | Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) | | --- | --- | --- | --- | --- | | A7s | 1.520 | 2.094 | 3.686 | 0.658 | | A4s | 0.658 | 3.686 | 2.094 | 1.520 | The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity. ## Who is ahead on which flops The flop changes the picture. A7s does best on low rainbow flops (nine high or lower), at 62.52%, and worst on paired flops, at 56.18%. A7s stays ahead on all five textures. **A7s against A4s by flop texture, in percent** | Flop | Share of flops | A7s wins | Ties | A4s wins | A7s equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 24.526 | 48.786 | 27.101 | 24.113 | 62.337 | | Rainbow, nine or lower | 6.383 | 57.798 | 9.444 | 32.758 | 62.520 | | Two-tone | 46.543 | 50.413 | 20.716 | 28.871 | 60.771 | | Monotone | 5.215 | 48.966 | 17.665 | 33.369 | 57.799 | | Paired | 17.333 | 35.143 | 42.070 | 22.787 | 56.178 | 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 Against one random hand instead, A7s holds 60.98% and A4s holds 59.03%. Facing each other changes that by -0.66 points for A7s and -19.35 points for A4s. **A7s and A4s 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 | | --- | --- | --- | --- | --- | | A7s, all flops | 60.315 | 60.984 | -0.669 | 0.98903 | | A7s, rainbow, ten or higher | 62.337 | 60.984 | +1.353 | 1.02219 | | A7s, rainbow, nine or lower | 62.520 | 60.984 | +1.536 | 1.02519 | | A7s, two-tone | 60.771 | 60.984 | -0.213 | 0.99651 | | A7s, monotone | 57.799 | 60.984 | -3.185 | 0.94777 | | A7s, paired | 56.178 | 60.984 | -4.806 | 0.92119 | | A4s, all flops | 39.685 | 59.034 | -19.349 | 0.67224 | | A4s, rainbow, ten or higher | 37.663 | 59.034 | -21.371 | 0.63799 | | A4s, rainbow, nine or lower | 37.480 | 59.034 | -21.554 | 0.63489 | | A4s, two-tone | 39.229 | 59.034 | -19.805 | 0.66452 | | A4s, monotone | 42.201 | 59.034 | -16.833 | 0.71486 | | A4s, paired | 43.822 | 59.034 | -15.212 | 0.74232 | ## Does a shared suit matter? The hands cannot hold a suit in common here, which leaves a single case and a single number: 60.32% for A7s. **A7s against A4s by suit overlap, in percent** | Deals | Specific deals | Share of deals | A7s wins | Ties | A4s wins | A7s equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible | | No shared suit | 12 | 100.00 | 47.763 | 25.105 | 27.132 | 60.315 | ## How often this matchup comes up How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are A7s against A4s, and 24 (0.0015%) if either hand may sit in either seat. ## A worked example Take a $200 pot built from $100 each. A7s' equity of 60.32% is worth $120.64, a $20.64 edge, and A4s' 39.68% is worth $79.36, which is $20.64 under its stake. Out of 1,000 deals you should see around 478 outright wins for A7s, 271 for A4s, and 251 split pots. ## The same matchup from the other side One page covers both views. From A4s' side the equity is 39.68%, and from A7s' side it is 60.32%. ## Keep exploring As7s against Ah4h 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 As7s against Ah4h in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=As7s&p2=Ah4h) - [A7s combos](https://georgelipoker.com/combos/a7s.md) - [A4s combos](https://georgelipoker.com/combos/a4s.md) - [A7s vs A3s](https://georgelipoker.com/equity/a7s-vs-a3s.md) - [A7s vs QJo](https://georgelipoker.com/equity/a7s-vs-qjo.md) - [A9o vs A4s](https://georgelipoker.com/equity/a9o-vs-a4s.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 A7s and one A4s 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 - [A7s vs A3s: preflop equity](https://georgelipoker.com/equity/a7s-vs-a3s.md) - [A7s vs QJo: preflop equity](https://georgelipoker.com/equity/a7s-vs-qjo.md) - [A9o vs A4s: preflop equity](https://georgelipoker.com/equity/a9o-vs-a4s.md)