--- title: "AJo vs A7s: preflop equity" url: "https://georgelipoker.com/equity/ajo-vs-a7s.md" canonical_url: "https://georgelipoker.com/equity/ajo-vs-a7s" last_updated: "2026-10-23" type: "reference" summary: "AJo is a big favorite over A7s before the flop: 68.33% to 31.67% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/ajo-vs-a9o.md", "https://georgelipoker.com/equity/ajo-vs-kjo.md", "https://georgelipoker.com/equity/kqs-vs-a7s.md"] --- # AJo vs A7s: preflop equity AJo is a big favorite over A7s before the flop: 68.33% to 31.67% equity, counted exactly over every board, with the split by flop type and suit. Over all 1,712,304 boards that can follow this deal, AJo finishes with 68.33% of the pot and A7s with 31.67%. ## AJo against A7s: the numbers **Exact preflop results for AJo against A7s, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | AJo | 64.565 | 7.522 | 27.913 | 68.326 | | A7s | 27.913 | 7.522 | 64.565 | 31.674 | AJo, an offsuit hand, plays A7s, a suited 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. AJo is the clear favorite, though A7s gets there on roughly one board in 3. A split pot comes up on 7.52% of boards, so the wins and the equity differ by half of that. The hand ranking puts AJo at 15 and A7s at 24 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 | | --- | --- | --- | --- | | AJo | 39,800,000 | 4,637,000 | 17,206,000 | | A7s | 17,206,000 | 4,637,000 | 39,800,000 | 36 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. **AJo against A7s read as odds** | Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) | | --- | --- | --- | --- | --- | | AJo | 2.157 | 1.549 | 3.583 | 0.464 | | A7s | 0.464 | 3.583 | 1.549 | 2.157 | 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 Across the five flop textures AJo's equity moves by 19.18 points, from 56.40% on low rainbow flops (nine high or lower) to 75.58% on rainbow flops topped by a ten or better. AJo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal. **AJo against A7s by flop texture, in percent** | Flop | Share of flops | AJo wins | Ties | A7s wins | AJo equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 23.905 | 72.781 | 5.605 | 21.614 | 75.583 | | Rainbow, nine or lower | 7.042 | 54.275 | 4.240 | 41.485 | 56.395 | | Two-tone | 46.527 | 64.972 | 5.003 | 30.025 | 67.474 | | Monotone | 5.192 | 60.573 | 5.895 | 33.532 | 63.521 | | Paired | 17.334 | 57.517 | 18.747 | 23.736 | 66.891 | Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank. ## Compared with a random hand How much does the opponent matter? Compared with its random-hand 63.56%, AJo changes by +4.77 points, and A7s, from 60.98%, by -29.31. **AJo and A7s 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 | | --- | --- | --- | --- | --- | | AJo, all flops | 68.326 | 63.563 | +4.763 | 1.07493 | | AJo, rainbow, ten or higher | 75.583 | 63.563 | +12.020 | 1.18910 | | AJo, rainbow, nine or lower | 56.395 | 63.563 | -7.168 | 0.88723 | | AJo, two-tone | 67.474 | 63.563 | +3.911 | 1.06153 | | AJo, monotone | 63.521 | 63.563 | -0.042 | 0.99934 | | AJo, paired | 66.891 | 63.563 | +3.328 | 1.05236 | | A7s, all flops | 31.674 | 60.984 | -29.310 | 0.51938 | | A7s, rainbow, ten or higher | 24.417 | 60.984 | -36.567 | 0.40038 | | A7s, rainbow, nine or lower | 43.605 | 60.984 | -17.379 | 0.71502 | | A7s, two-tone | 32.526 | 60.984 | -28.458 | 0.53335 | | A7s, monotone | 36.479 | 60.984 | -24.505 | 0.59817 | | A7s, paired | 33.109 | 60.984 | -27.875 | 0.54291 | ## Does a shared suit matter? Suit overlap shows up in the numbers. With a suit in common AJo has 69.14% equity, and with none in common it has 67.92%. AJo does better with a shared suit, by 1.22 points. **AJo against A7s by suit overlap, in percent** | Deals | Specific deals | Share of deals | AJo wins | Ties | A7s wins | AJo equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 12 | 33.33 | 65.325 | 7.630 | 27.045 | 69.140 | | No shared suit | 24 | 66.67 | 64.185 | 7.468 | 28.347 | 67.919 | ## How often this matchup comes up How often does it happen? 36 of the 1,624,350 ordered deals (0.0022%) are AJo against A7s, and 72 (0.0044%) if either hand may sit in either seat. ## A worked example A $100 all-in from each player makes a $200 pot, and the exact equity says AJo gets $136.66 of it on average and A7s gets $63.34. Over a long run, 1,000 deals split into about 646 for AJo, 279 for A7s and 75 tied. ## The same matchup from the other side If you came looking for A7s against AJo, the numbers are the same with the hands swapped: 31.67% and 68.33%. ## Keep exploring Try AsJh against Ad7d in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking. - [Open AsJh against Ad7d in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsJh&p2=Ad7d) - [AJo combos](https://georgelipoker.com/combos/ajo.md) - [A7s combos](https://georgelipoker.com/combos/a7s.md) - [AJo vs A9o](https://georgelipoker.com/equity/ajo-vs-a9o.md) - [AJo vs KJo](https://georgelipoker.com/equity/ajo-vs-kjo.md) - [KQs vs A7s](https://georgelipoker.com/equity/kqs-vs-a7s.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed This is an exact count with no sampling. For the 36 ways to deal one AJo and one A7s 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 - [AJo vs A9o: preflop equity](https://georgelipoker.com/equity/ajo-vs-a9o.md) - [AJo vs KJo: preflop equity](https://georgelipoker.com/equity/ajo-vs-kjo.md) - [KQs vs A7s: preflop equity](https://georgelipoker.com/equity/kqs-vs-a7s.md)