--- title: "77 vs AJs: preflop equity" url: "https://georgelipoker.com/equity/77-vs-ajs.md" canonical_url: "https://georgelipoker.com/equity/77-vs-ajs" last_updated: "2026-10-23" type: "reference" summary: "77 vs AJs is close to a coin flip before the flop: 52.01% to 47.99% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/77-vs-ako.md", "https://georgelipoker.com/equity/77-vs-ats.md", "https://georgelipoker.com/equity/aqs-vs-ajs.md"] --- # 77 vs AJs: preflop equity 77 vs AJs is close to a coin flip before the flop: 52.01% to 47.99% equity, counted exactly over every board, with the split by flop type and suit. Dealt all in against each other, 77 takes 52.01% of the pot on average and AJs takes the other 47.99%. ## 77 against AJs: the numbers **Exact preflop results for 77 against AJs, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | 77 | 51.814 | 0.396 | 47.790 | 52.012 | | AJs | 47.790 | 0.396 | 51.814 | 47.988 | 77 and AJs are a pocket pair and a suited hand, in that order. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead. That is a slim edge: neither hand is far ahead. A split pot comes up on 0.40% of boards, so the wins and the equity differ by half of that. Place 9 of 169 belongs to 77 and place 11 belongs to AJs in the ranking against a random hand. **Boards behind the percentages: 41,095,296 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | 77 | 21,293,000 | 163,000 | 19,639,000 | | AJs | 19,639,000 | 163,000 | 21,293,000 | The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages. **77 against AJs read as odds** | Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) | | --- | --- | --- | --- | --- | | 77 | 1.084 | 1.930 | 2.092 | 0.923 | | AJs | 0.923 | 2.092 | 1.930 | 1.084 | 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. 77 does best on low rainbow flops (nine high or lower), at 77.12%, and worst on rainbow flops topped by a ten or better, at 46.04%. On rainbow flops topped by a ten or better the numbers flip and AJs is the one ahead. **77 against AJs by flop texture, in percent** | Flop | Share of flops | 77 wins | Ties | AJs wins | 77 equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 24.595 | 45.948 | 0.185 | 53.867 | 46.041 | | Rainbow, nine or lower | 6.314 | 76.807 | 0.628 | 22.565 | 77.121 | | Two-tone | 46.545 | 50.034 | 0.257 | 49.709 | 50.163 | | Monotone | 5.212 | 50.110 | 2.394 | 47.496 | 51.307 | | Paired | 17.334 | 56.325 | 0.382 | 43.293 | 56.516 | 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 Relative to a random opponent, 77 changes by -14.23 points (baseline 66.24%) and AJs by -17.40 points (baseline 65.39%). **77 and AJs 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 | | --- | --- | --- | --- | --- | | 77, all flops | 52.012 | 66.236 | -14.224 | 0.78525 | | 77, rainbow, ten or higher | 46.041 | 66.236 | -20.195 | 0.69511 | | 77, rainbow, nine or lower | 77.121 | 66.236 | +10.885 | 1.16434 | | 77, two-tone | 50.163 | 66.236 | -16.073 | 0.75734 | | 77, monotone | 51.307 | 66.236 | -14.929 | 0.77461 | | 77, paired | 56.516 | 66.236 | -9.720 | 0.85325 | | AJs, all flops | 47.988 | 65.393 | -17.405 | 0.73384 | | AJs, rainbow, ten or higher | 53.959 | 65.393 | -11.434 | 0.82515 | | AJs, rainbow, nine or lower | 22.879 | 65.393 | -42.514 | 0.34987 | | AJs, two-tone | 49.837 | 65.393 | -15.556 | 0.76212 | | AJs, monotone | 48.693 | 65.393 | -16.700 | 0.74462 | | AJs, paired | 43.484 | 65.393 | -21.909 | 0.66496 | ## Does a shared suit matter? Suit overlap shows up in the numbers. With a suit in common 77 has 52.19% equity, and with none in common it has 51.84%. 77 does better with a shared suit, by 0.35 points. **77 against AJs by suit overlap, in percent** | Deals | Specific deals | Share of deals | 77 wins | Ties | AJs wins | 77 equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 12 | 50.00 | 51.970 | 0.439 | 47.591 | 52.189 | | No shared suit | 12 | 50.00 | 51.659 | 0.352 | 47.989 | 51.835 | ## How often this matchup comes up The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order. ## A worked example Put $100 each into a $200 pot and deal every board once: 77 averages $104.02 back, ahead of its $100 by $4.02, while AJs averages $95.98, short of its $100 by $4.02. Think in thousands: about 518 of 1,000 go to 77, about 478 go to AJs, and about 4 are chopped. ## The same matchup from the other side AJs against 77 adds nothing new: it is 47.99% for AJs and 52.01% for 77, the same figures reversed. ## Keep exploring Open the calculator with 7s7h against AdJd 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 7s7h against AdJd in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=7s7h&p2=AdJd) - [77 combos](https://georgelipoker.com/combos/77.md) - [AJs combos](https://georgelipoker.com/combos/ajs.md) - [77 vs AKo](https://georgelipoker.com/equity/77-vs-ako.md) - [77 vs ATs](https://georgelipoker.com/equity/77-vs-ats.md) - [AQs vs AJs](https://georgelipoker.com/equity/aqs-vs-ajs.md) - [All hand matchups](https://georgelipoker.com/equity.md) ## How this was computed Method: exact enumeration. The 24 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 - [77 vs AKo: preflop equity](https://georgelipoker.com/equity/77-vs-ako.md) - [77 vs ATs: preflop equity](https://georgelipoker.com/equity/77-vs-ats.md) - [AQs vs AJs: preflop equity](https://georgelipoker.com/equity/aqs-vs-ajs.md)