AA
81.55%
Wins 81.33%, ties 0.43%
18.45%
Wins 18.24%, ties 0.43%
AA against QQ: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AA | 81.330 | 0.434 | 18.236 | 81.547 |
| 18.236 | 0.434 | 81.330 | 18.453 |
Two pocket pairs meet here: AA against QQ. Both hands are pairs, so the bigger pair is ahead on every board that does not pair a card below it.
That is a heavy lead: QQ needs the board to help it on most runouts and still falls behind far more often than not. Ties are part of the picture: 0.43% of boards end in a split pot, and each side counts that as half a win.
In the ranking of all 169 starting hands, AA is number 1 and QQ is number 3.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AA | 50,134,000 | 268,000 | 11,241,000 |
| 11,241,000 | 268,000 | 50,134,000 |
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 | 4.419 | 1.230 | 5.484 | 0.226 |
| 0.226 | 5.484 | 1.230 | 4.419 |
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
Split by what the flop looks like, AA peaks at 90.84% on low rainbow flops (nine high or lower) and bottoms out at 75.86% on monotone flops. AA stays ahead on all five textures.
| Flop | Share of flops | AA wins | Ties | QQ wins | AA equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 77.828 | 0.160 | 22.012 | 77.908 |
| Rainbow, nine or lower | 7.771 | 90.173 | 1.328 | 8.499 | 90.837 |
| Two-tone | 46.363 | 80.344 | 0.434 | 19.222 | 80.561 |
| Monotone | 5.152 | 74.967 | 1.785 | 23.248 | 75.860 |
| Paired | 17.576 | 86.494 | 0.007 | 13.499 | 86.497 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Against one random hand instead, AA holds 85.20% and QQ holds 79.93%. Facing each other changes that by -3.65 points for AA and -61.48 points for QQ.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AA, all flops | 81.547 | 85.204 | -3.657 | 0.95708 |
| AA, rainbow, ten or higher | 77.908 | 85.204 | -7.296 | 0.91437 |
| AA, rainbow, nine or lower | 90.837 | 85.204 | +5.633 | 1.06611 |
| AA, two-tone | 80.561 | 85.204 | -4.643 | 0.94551 |
| AA, monotone | 75.860 | 85.204 | -9.344 | 0.89033 |
| AA, paired | 86.497 | 85.204 | +1.293 | 1.01518 |
| QQ, all flops | 18.453 | 79.925 | -61.472 | 0.23088 |
| QQ, rainbow, ten or higher | 22.092 | 79.925 | -57.833 | 0.27641 |
| QQ, rainbow, nine or lower | 9.163 | 79.925 | -70.762 | 0.11464 |
| QQ, two-tone | 19.439 | 79.925 | -60.486 | 0.24322 |
| QQ, monotone | 24.140 | 79.925 | -55.785 | 0.30203 |
| QQ, paired | 13.503 | 79.925 | -66.422 | 0.16895 |
Does a shared suit matter?
Of the deals of this matchup, 30 share a suit (AA at 81.68%) and 6 do not (80.87%). AA does better with a shared suit, by 0.81 points.
| Deals | Specific deals | Share of deals | AA wins | Ties | QQ wins | AA equity |
|---|---|---|---|---|---|---|
| Share a suit | 30 | 83.33 | 81.458 | 0.451 | 18.091 | 81.683 |
| No shared suit | 6 | 16.67 | 80.688 | 0.354 | 18.958 | 80.865 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 36 are AA in one seat and QQ in the other (0.0022%); with the seats swapped too, 72 (0.0044%).
A worked example
With $100 from each side, the $200 pot is split on average as $163.10 for AA and $36.90 for QQ; the first side gains $63.10 per all-in and the second gives up $63.10.
Out of 1,000 deals you should see around 813 outright wins for AA, 183 for QQ, and 4 split pots.
The same matchup from the other side
The reversed view, QQ against AA, shows 18.45% for QQ and 81.55% for AA. It is the same count, so it redirects here.
Keep exploring
Open the calculator with AsAh against QdQc 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.
How this was computed
Method: exact enumeration. The 36 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.
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