67.66%
Wins 67.46%, ties 0.40%
ATs
32.34%
Wins 32.14%, ties 0.40%
QQ against ATs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 67.461 | 0.404 | 32.135 | 67.663 | |
| ATs | 32.135 | 0.404 | 67.461 | 32.337 |
QQ is a pocket pair and ATs is a suited hand. The pair sits between the other hand's two cards: one is higher and one is lower, so the pair is exposed to the higher card.
That is a clear edge, 67.66% to 32.34%, but ATs still wins often enough that one hand proves nothing. Split pots make up 0.40% of the boards, and both equity figures count them as half a win each.
Among the 169 starting hands, QQ is number 3 and ATs is number 13 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 27,723,000 | 166,000 | 13,206,000 | |
| ATs | 13,206,000 | 166,000 | 27,723,000 |
24 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) |
|---|---|---|---|---|
| 2.092 | 1.482 | 3.112 | 0.478 | |
| ATs | 0.478 | 3.112 | 1.482 | 2.092 |
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
By flop texture, QQ's equity runs from 63.01% on monotone flops up to 80.10% on low rainbow flops (nine high or lower). QQ 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 | QQ wins | Ties | ATs wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 65.185 | 0.145 | 34.670 | 65.258 |
| Rainbow, nine or lower | 7.771 | 79.599 | 0.998 | 19.403 | 80.098 |
| Two-tone | 46.545 | 65.585 | 0.328 | 34.087 | 65.749 |
| Monotone | 5.212 | 61.805 | 2.408 | 35.787 | 63.009 |
| Paired | 17.334 | 71.797 | 0.083 | 28.120 | 71.839 |
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
Compared with a random opponent, this matchup shifts QQ from 79.93% by -12.27 points and ATs from 64.60% by -32.26 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 67.663 | 79.925 | -12.262 | 0.84658 |
| QQ, rainbow, ten or higher | 65.258 | 79.925 | -14.667 | 0.81649 |
| QQ, rainbow, nine or lower | 80.098 | 79.925 | +0.173 | 1.00216 |
| QQ, two-tone | 65.749 | 79.925 | -14.176 | 0.82263 |
| QQ, monotone | 63.009 | 79.925 | -16.916 | 0.78835 |
| QQ, paired | 71.839 | 79.925 | -8.086 | 0.89883 |
| ATs, all flops | 32.337 | 64.602 | -32.265 | 0.50056 |
| ATs, rainbow, ten or higher | 34.742 | 64.602 | -29.860 | 0.53779 |
| ATs, rainbow, nine or lower | 19.902 | 64.602 | -44.700 | 0.30807 |
| ATs, two-tone | 34.251 | 64.602 | -30.351 | 0.53018 |
| ATs, monotone | 36.991 | 64.602 | -27.611 | 0.57260 |
| ATs, paired | 28.161 | 64.602 | -36.441 | 0.43592 |
Does a shared suit matter?
The suit split reads 67.92% for QQ with a shared suit and 67.40% without one. QQ does better with a shared suit, by 0.52 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | ATs wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 67.702 | 0.444 | 31.854 | 67.924 |
| No shared suit | 12 | 50.00 | 67.221 | 0.363 | 32.416 | 67.402 |
How often this matchup comes up
QQ against ATs is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.
A worked example
Put $100 each into a $200 pot and deal every board once: QQ averages $135.32 back, ahead of its $100 by $35.32, while ATs averages $64.68, short of its $100 by $35.32.
Think in thousands: about 675 of 1,000 go to QQ, about 321 go to ATs, and about 4 are chopped.
The same matchup from the other side
Swap the hands and you get ATs with 32.34% against QQ with 67.66%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in QsQh against AdTd, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
We counted every case. Each suit pattern of the 24 specific QQ against ATs deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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