--- title: "A7s vs A9o: preflop equity" url: "https://georgelipoker.com/equity/a7s-vs-a9o.md" canonical_url: "https://georgelipoker.com/equity/a7s-vs-a9o" last_updated: "2026-10-23" type: "reference" summary: "A9o is a big favorite over A7s before the flop: 65.04% to 34.96% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/a7s-vs-kjo.md", "https://georgelipoker.com/equity/a7s-vs-55.md", "https://georgelipoker.com/equity/kqo-vs-a9o.md"] --- # A7s vs A9o: preflop equity A9o is a big favorite over A7s before the flop: 65.04% to 34.96% equity, counted exactly over every board, with the split by flop type and suit. In equity, A9o against A7s stands at 65.04% to 34.96%, a gap of 30.08 points. ## A7s against A9o: the numbers **Exact preflop results for A7s against A9o, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | A7s | 27.533 | 14.857 | 57.610 | 34.962 | | A9o | 57.610 | 14.857 | 27.533 | 65.038 | The first hand is a suited hand; the second is an offsuit hand. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up. A9o is the clear favorite, though A7s gets there on roughly one board in 3. A split pot comes up on 14.86% of boards, so the wins and the equity differ by half of that. The hand ranking puts A7s at 24 and A9o at 25 out of 169 starting hands. **Boards behind the percentages: 61,642,944 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | A7s | 16,972,000 | 9,158,000 | 35,513,000 | | A9o | 35,513,000 | 9,158,000 | 16,972,000 | 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. **A7s against A9o 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 | 0.538 | 3.632 | 1.736 | 1.860 | | A9o | 1.860 | 1.736 | 3.632 | 0.538 | The final column gives the least the pot must offer for each unit called for a call to break even at this equity. ## Who is ahead on which flops If you know the kind of flop that came, the numbers shift: A9o holds 69.04% on rainbow flops topped by a ten or better and 60.83% on paired flops. A9o stays ahead on all five textures. **A7s against A9o by flop texture, in percent** | Flop | Share of flops | A7s wins | Ties | A9o wins | A7s equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 24.588 | 23.912 | 14.105 | 61.983 | 30.964 | | Rainbow, nine or lower | 6.360 | 32.525 | 3.515 | 63.960 | 34.282 | | Two-tone | 46.527 | 29.610 | 11.185 | 59.205 | 35.203 | | Monotone | 5.192 | 33.265 | 10.533 | 56.202 | 38.531 | | Paired | 17.333 | 23.549 | 31.236 | 45.215 | 39.167 | 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 Against one random hand instead, A7s holds 60.98% and A9o holds 60.77%. Facing each other changes that by -26.02 points for A7s and +4.27 points for A9o. **A7s and A9o 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 | 34.962 | 60.984 | -26.022 | 0.57330 | | A7s, rainbow, ten or higher | 30.964 | 60.984 | -30.020 | 0.50774 | | A7s, rainbow, nine or lower | 34.282 | 60.984 | -26.702 | 0.56215 | | A7s, two-tone | 35.203 | 60.984 | -25.781 | 0.57725 | | A7s, monotone | 38.531 | 60.984 | -22.453 | 0.63182 | | A7s, paired | 39.167 | 60.984 | -21.817 | 0.64225 | | A9o, all flops | 65.038 | 60.773 | +4.265 | 1.07018 | | A9o, rainbow, ten or higher | 69.036 | 60.773 | +8.263 | 1.13596 | | A9o, rainbow, nine or lower | 65.718 | 60.773 | +4.945 | 1.08137 | | A9o, two-tone | 64.797 | 60.773 | +4.024 | 1.06621 | | A9o, monotone | 61.469 | 60.773 | +0.696 | 1.01145 | | A9o, paired | 60.833 | 60.773 | +0.060 | 1.00099 | ## Does a shared suit matter? Of the deals of this matchup, 12 share a suit (A9o at 65.81%) and 24 do not (64.65%). A9o does better with a shared suit, by 1.16 points. **A7s against A9o by suit overlap, in percent** | Deals | Specific deals | Share of deals | A7s wins | Ties | A9o wins | A7s equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 12 | 33.33 | 26.686 | 15.012 | 58.302 | 34.192 | | No shared suit | 24 | 66.67 | 27.957 | 14.779 | 57.264 | 35.347 | ## How often this matchup comes up The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order. ## A worked example Take a $200 pot built from $100 each. A9o's equity of 65.04% is worth $130.08, a $30.08 edge, and A7s' 34.96% is worth $69.92, which is $30.08 under its stake. Think in thousands: about 576 of 1,000 go to A9o, about 275 go to A7s, and about 149 are chopped. ## The same matchup from the other side The mirror image, A9o against A7s, is 65.04% to 34.96%, and its address redirects to this page. ## Keep exploring As7s against Ah9d 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 Ah9d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=As7s&p2=Ah9d) - [A7s combos](https://georgelipoker.com/combos/a7s.md) - [A9o combos](https://georgelipoker.com/combos/a9o.md) - [A7s vs KJo](https://georgelipoker.com/equity/a7s-vs-kjo.md) - [A7s vs 55](https://georgelipoker.com/equity/a7s-vs-55.md) - [KQo vs A9o](https://georgelipoker.com/equity/kqo-vs-a9o.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 36 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows. Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used. ## Related - [A7s vs KJo: preflop equity](https://georgelipoker.com/equity/a7s-vs-kjo.md) - [A7s vs 55: preflop equity](https://georgelipoker.com/equity/a7s-vs-55.md) - [KQo vs A9o: preflop equity](https://georgelipoker.com/equity/kqo-vs-a9o.md)