AA
79.15%
Wins 78.93%, ties 0.43%
64s
20.85%
Wins 20.64%, ties 0.43%
AA against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AA | 78.934 | 0.425 | 20.641 | 79.146 |
| 64s | 20.641 | 0.425 | 78.934 | 20.854 |
AA and 64s are a pocket pair and a suited hand, in that order. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.
AA is the clear favorite, though 64s gets there on roughly one board in 5. Split pots make up 0.43% of the boards, and both equity figures count them as half a win each.
AA ranks number 1 of 169 starting hands, and 64s ranks number 138, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AA | 32,438,000 | 175,000 | 8,482,000 |
| 64s | 8,482,000 | 175,000 | 32,438,000 |
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.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AA | 3.795 | 1.267 | 4.845 | 0.263 |
| 64s | 0.263 | 4.845 | 1.267 | 3.795 |
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: AA holds 84.91% on rainbow flops topped by a ten or better and 64.26% on low rainbow flops (nine high or lower). 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 | 64s wins | AA equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 84.788 | 0.249 | 14.963 | 84.912 |
| Rainbow, nine or lower | 6.314 | 63.776 | 0.971 | 35.253 | 64.261 |
| Two-tone | 46.545 | 77.043 | 0.369 | 22.588 | 77.228 |
| Monotone | 5.212 | 72.599 | 2.475 | 24.926 | 73.836 |
| Paired | 17.334 | 83.132 | 0.007 | 16.861 | 83.136 |
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
How much does the opponent matter? Compared with its random-hand 85.20%, AA changes by -6.05 points, and 64s, from 41.33%, by -20.48.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AA, all flops | 79.146 | 85.204 | -6.058 | 0.92890 |
| AA, rainbow, ten or higher | 84.912 | 85.204 | -0.292 | 0.99657 |
| AA, rainbow, nine or lower | 64.261 | 85.204 | -20.943 | 0.75420 |
| AA, two-tone | 77.228 | 85.204 | -7.976 | 0.90639 |
| AA, monotone | 73.836 | 85.204 | -11.368 | 0.86658 |
| AA, paired | 83.136 | 85.204 | -2.068 | 0.97573 |
| 64s, all flops | 20.854 | 41.333 | -20.479 | 0.50454 |
| 64s, rainbow, ten or higher | 15.088 | 41.333 | -26.245 | 0.36504 |
| 64s, rainbow, nine or lower | 35.739 | 41.333 | -5.594 | 0.86466 |
| 64s, two-tone | 22.772 | 41.333 | -18.561 | 0.55094 |
| 64s, monotone | 26.164 | 41.333 | -15.169 | 0.63301 |
| 64s, paired | 16.864 | 41.333 | -24.469 | 0.40800 |
Does a shared suit matter?
Split by suits, the deals give AA 79.73% when the hands overlap in a suit and 78.56% when they do not. AA does better with a shared suit, by 1.17 points.
| Deals | Specific deals | Share of deals | AA wins | Ties | 64s wins | AA equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 79.497 | 0.465 | 20.038 | 79.730 |
| No shared suit | 12 | 50.00 | 78.371 | 0.384 | 21.245 | 78.563 |
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
A $100 all-in from each player makes a $200 pot, and the exact equity says AA gets $158.30 of it on average and 64s gets $41.70.
Scaled to 1,000 deals, that is roughly 789 wins for AA, 207 for 64s and 4 chopped pots.
The same matchup from the other side
The mirror image, 64s against AA, is 20.85% to 79.15%, and its address redirects to this page.
Keep exploring
Try AsAh against 6d4d 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.
How this was computed
Nothing here is simulated. The 24 deals of AA against 64s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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