AA
80.48%
Wins 80.31%, ties 0.34%
77
19.52%
Wins 19.35%, ties 0.34%
AA against 77: the numbers
| 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.
| 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.
| 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.
| 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.
| 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.
| 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.
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.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session