56.76%
Wins 56.55%, ties 0.42%
AKo
43.24%
Wins 43.03%, ties 0.42%
QQ against AKo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 56.547 | 0.422 | 43.031 | 56.758 | |
| AKo | 43.031 | 0.422 | 56.547 | 43.242 |
QQ is a pocket pair and AKo is an offsuit hand. 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 modest edge, the kind that shows up over many hands and is easy to miss in one. Of every 100 boards, about 0.42 are split pots, and the equity figures already include them.
Place 3 of 169 belongs to QQ and place 12 belongs to AKo in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 69,714,000 | 520,000 | 53,051,000 | |
| AKo | 53,051,000 | 520,000 | 69,714,000 |
The total is exact: 72 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| 1.313 | 1.768 | 2.324 | 0.762 | |
| AKo | 0.762 | 2.324 | 1.768 | 1.313 |
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
The flop changes the picture. QQ does best on low rainbow flops (nine high or lower), at 74.01%, and worst on rainbow flops topped by a ten or better, at 49.85%. AKo 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 | AKo wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 49.784 | 0.129 | 50.087 | 49.848 |
| Rainbow, nine or lower | 7.771 | 73.333 | 1.357 | 25.310 | 74.012 |
| Two-tone | 46.485 | 55.300 | 0.417 | 44.283 | 55.509 |
| Monotone | 5.151 | 51.672 | 1.771 | 46.557 | 52.558 |
| Paired | 17.333 | 62.887 | 0.010 | 37.103 | 62.892 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Each hand has a baseline against a random hand: 79.93% for QQ, 65.32% for AKo. Here the change is -23.17 and -22.08 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 56.758 | 79.925 | -23.167 | 0.71014 |
| QQ, rainbow, ten or higher | 49.848 | 79.925 | -30.077 | 0.62368 |
| QQ, rainbow, nine or lower | 74.012 | 79.925 | -5.913 | 0.92602 |
| QQ, two-tone | 55.509 | 79.925 | -24.416 | 0.69451 |
| QQ, monotone | 52.558 | 79.925 | -27.367 | 0.65759 |
| QQ, paired | 62.892 | 79.925 | -17.033 | 0.78689 |
| AKo, all flops | 43.242 | 65.320 | -22.078 | 0.66200 |
| AKo, rainbow, ten or higher | 50.152 | 65.320 | -15.168 | 0.76779 |
| AKo, rainbow, nine or lower | 25.988 | 65.320 | -39.332 | 0.39786 |
| AKo, two-tone | 44.491 | 65.320 | -20.829 | 0.68112 |
| AKo, monotone | 47.442 | 65.320 | -17.878 | 0.72630 |
| AKo, paired | 37.108 | 65.320 | -28.212 | 0.56810 |
Does a shared suit matter?
When the hands share a suit, QQ holds 56.68%; when they do not, it holds 57.17%. QQ does better with no shared suit, by 0.49 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | AKo wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 56.457 | 0.438 | 43.105 | 56.676 |
| No shared suit | 12 | 16.67 | 56.994 | 0.342 | 42.664 | 57.165 |
How often this matchup comes up
How often does it happen? 72 of the 1,624,350 ordered deals (0.0044%) are QQ against AKo, and 144 (0.0089%) if either hand may sit in either seat.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, QQ's average share is $113.52 (a gain of $13.52) and AKo's is $86.48 (a loss of $13.52).
Think in thousands: about 566 of 1,000 go to QQ, about 430 go to AKo, and about 4 are chopped.
The same matchup from the other side
One page covers both views. From AKo's side the equity is 43.24%, and from QQ's side it is 56.76%.
Keep exploring
Try QsQh against AdKc 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 72 specific deals of QQ against AKo, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
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