--- title: "AA vs 77: preflop equity" url: "https://georgelipoker.com/equity/aa-vs-77.md" canonical_url: "https://georgelipoker.com/equity/aa-vs-77" last_updated: "2026-10-23" type: "reference" summary: "AA is a big favorite over 77 before the flop: 80.48% to 19.52% equity, counted exactly over every board, with the split by flop type and suit." related: ["https://georgelipoker.com/equity/aa-vs-aqs.md", "https://georgelipoker.com/equity/aa-vs-ajs.md", "https://georgelipoker.com/equity/kk-vs-77.md"] --- # AA vs 77: preflop equity AA is a big favorite over 77 before the flop: 80.48% to 19.52% equity, counted exactly over every board, with the split by flop type and suit. Before any board card is dealt, AA holds 80.48% equity against 77, which leaves 77 with 19.52%. ## AA against 77: the numbers **Exact preflop results for AA against 77, in percent** | Hand | Wins | Ties | Loses | Equity | | --- | --- | --- | --- | --- | | AA | 80.312 | 0.337 | 19.351 | 80.481 | | 77 | 19.351 | 0.337 | 80.312 | 19.519 | Two pocket pairs meet here: AA against 77. Two pairs against each other is a one-way street: the lower pair needs one of its two remaining cards. A gap this wide means 77 is in trouble before the flop and has few good runouts. The tie share is 0.34%: on those boards the pot is chopped and neither hand wins outright. In the ranking of all 169 starting hands, AA is number 1 and 77 is number 9. **Boards behind the percentages: 61,642,944 counted in all** | Hand | Boards won, about | Boards tied, about | Boards lost, about | | --- | --- | --- | --- | | AA | 49,507,000 | 208,000 | 11,929,000 | | 77 | 11,929,000 | 208,000 | 49,507,000 | 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. **AA against 77 read as odds** | Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) | | --- | --- | --- | --- | --- | | AA | 4.123 | 1.245 | 5.168 | 0.243 | | 77 | 0.243 | 5.168 | 1.245 | 4.123 | 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 Paired flops are the best for AA (86.42%); low rainbow flops (nine high or lower) are the worst (66.64%). AA stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal. **AA against 77 by flop texture, in percent** | Flop | Share of flops | AA wins | Ties | 77 wins | AA equity | | --- | --- | --- | --- | --- | --- | | Rainbow, ten or higher | 24.595 | 83.101 | 0.232 | 16.667 | 83.217 | | Rainbow, nine or lower | 6.314 | 66.292 | 0.693 | 33.015 | 66.639 | | Two-tone | 46.363 | 79.126 | 0.314 | 20.560 | 79.283 | | Monotone | 5.152 | 74.048 | 1.722 | 24.230 | 74.909 | | Paired | 17.576 | 86.414 | 0.007 | 13.579 | 86.417 | 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 Each hand has a baseline against a random hand: 85.20% for AA, 66.24% for 77. Here the change is -4.72 and -46.72 points. **AA and 77 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 | | --- | --- | --- | --- | --- | | AA, all flops | 80.481 | 85.204 | -4.723 | 0.94457 | | AA, rainbow, ten or higher | 83.217 | 85.204 | -1.987 | 0.97668 | | AA, rainbow, nine or lower | 66.639 | 85.204 | -18.565 | 0.78211 | | AA, two-tone | 79.283 | 85.204 | -5.921 | 0.93051 | | AA, monotone | 74.909 | 85.204 | -10.295 | 0.87917 | | AA, paired | 86.417 | 85.204 | +1.213 | 1.01424 | | 77, all flops | 19.519 | 66.236 | -46.717 | 0.29469 | | 77, rainbow, ten or higher | 16.783 | 66.236 | -49.453 | 0.25338 | | 77, rainbow, nine or lower | 33.361 | 66.236 | -32.875 | 0.50367 | | 77, two-tone | 20.717 | 66.236 | -45.519 | 0.31278 | | 77, monotone | 25.091 | 66.236 | -41.145 | 0.37881 | | 77, paired | 13.583 | 66.236 | -52.653 | 0.20507 | ## Does a shared suit matter? The suit split reads 80.61% for AA with a shared suit and 79.82% without one. AA does better with a shared suit, by 0.79 points. **AA against 77 by suit overlap, in percent** | Deals | Specific deals | Share of deals | AA wins | Ties | 77 wins | AA equity | | --- | --- | --- | --- | --- | --- | --- | | Share a suit | 30 | 83.33 | 80.436 | 0.353 | 19.211 | 80.612 | | No shared suit | 6 | 16.67 | 79.694 | 0.257 | 20.049 | 79.823 | ## How often this matchup comes up Exactly 36 specific deals fit this matchup in one seat order, which is 0.0022% of 1,624,350; both orders together give 72, or 0.0044%. ## A worked example Say each player puts $100 in before the flop, making a $200 pot. On average AA takes back $160.96 of it, which is $60.96 more than it put in, and 77 takes back $39.04, $60.96 less than it put in. Scaled to 1,000 deals, that is roughly 803 wins for AA, 194 for 77 and 3 chopped pots. ## The same matchup from the other side 77 against AA adds nothing new: it is 19.52% for 77 and 80.48% for AA, the same figures reversed. ## Keep exploring AsAh against 7d7c 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 AsAh against 7d7c in the equity calculator](https://georgelipoker.com/tools/equity-calculator.md#p1=AsAh&p2=7d7c) - [AA combos](https://georgelipoker.com/combos/aa.md) - [77 combos](https://georgelipoker.com/combos/77.md) - [AA vs AQs](https://georgelipoker.com/equity/aa-vs-aqs.md) - [AA vs AJs](https://georgelipoker.com/equity/aa-vs-ajs.md) - [KK vs 77](https://georgelipoker.com/equity/kk-vs-77.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 AA and one 77 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 - [AA vs AQs: preflop equity](https://georgelipoker.com/equity/aa-vs-aqs.md) - [AA vs AJs: preflop equity](https://georgelipoker.com/equity/aa-vs-ajs.md) - [KK vs 77: preflop equity](https://georgelipoker.com/equity/kk-vs-77.md)