53.95%
Wins 53.74%, ties 0.43%
AKs
46.05%
Wins 45.83%, ties 0.43%
QQ against AKs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 53.735 | 0.433 | 45.832 | 53.951 | |
| AKs | 45.832 | 0.433 | 53.735 | 46.049 |
Here a pocket pair (QQ) meets a suited hand (AKs). This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
That is a slim edge: neither hand is far ahead. 0.43% of boards are ties, so the equity of each hand is its win rate plus half of that.
By strength against a random hand, QQ holds place 3 of 169 and AKs holds place 8.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 22,083,000 | 178,000 | 18,835,000 | |
| AKs | 18,835,000 | 178,000 | 22,083,000 |
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) |
|---|---|---|---|---|
| 1.172 | 1.861 | 2.182 | 0.854 | |
| AKs | 0.854 | 2.182 | 1.861 | 1.172 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Low rainbow flops (nine high or lower) are the best for QQ (71.11%); rainbow flops topped by a ten or better are the worst (48.43%). AKs takes over on rainbow flops topped by a ten or better, so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | QQ wins | Ties | AKs wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 48.367 | 0.123 | 51.510 | 48.428 |
| Rainbow, nine or lower | 7.771 | 70.465 | 1.297 | 28.238 | 71.114 |
| Two-tone | 46.545 | 51.545 | 0.377 | 48.078 | 51.733 |
| Monotone | 5.212 | 51.085 | 2.435 | 46.480 | 52.302 |
| Paired | 17.334 | 60.078 | 0.010 | 39.912 | 60.083 |
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
Start from the random-hand figures, 79.93% for QQ and 67.05% for AKs. This opponent changes them by -25.98 and -21.00 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 53.951 | 79.925 | -25.974 | 0.67502 |
| QQ, rainbow, ten or higher | 48.428 | 79.925 | -31.497 | 0.60592 |
| QQ, rainbow, nine or lower | 71.114 | 79.925 | -8.811 | 0.88976 |
| QQ, two-tone | 51.733 | 79.925 | -28.192 | 0.64727 |
| QQ, monotone | 52.302 | 79.925 | -27.623 | 0.65439 |
| QQ, paired | 60.083 | 79.925 | -19.842 | 0.75174 |
| AKs, all flops | 46.049 | 67.045 | -20.996 | 0.68684 |
| AKs, rainbow, ten or higher | 51.572 | 67.045 | -15.473 | 0.76921 |
| AKs, rainbow, nine or lower | 28.886 | 67.045 | -38.159 | 0.43084 |
| AKs, two-tone | 48.267 | 67.045 | -18.778 | 0.71992 |
| AKs, monotone | 47.698 | 67.045 | -19.347 | 0.71143 |
| AKs, paired | 39.917 | 67.045 | -27.128 | 0.59538 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (QQ at 54.12%) and 12 do not (53.79%). QQ does better with a shared suit, by 0.33 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | AKs wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 53.880 | 0.474 | 45.646 | 54.117 |
| No shared suit | 12 | 50.00 | 53.589 | 0.393 | 46.018 | 53.786 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are QQ against AKs, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says QQ gets $107.90 of it on average and AKs gets $92.10.
Run 1,000 deals and the tally comes out near 538 for QQ, 458 for AKs and 4 ties.
The same matchup from the other side
The mirror image, AKs against QQ, is 46.05% to 53.95%, and its address redirects to this page.
Keep exploring
QsQh against AdKd 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 24 ways to deal one QQ and one AKs 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.
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