71.26%
Wins 71.06%, ties 0.39%
ATo
28.74%
Wins 28.55%, ties 0.39%
QQ against ATo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 71.063 | 0.385 | 28.552 | 71.255 | |
| ATo | 28.552 | 0.385 | 71.063 | 28.745 |
We compare a pocket pair with an offsuit hand. The pair is ahead of one card and behind the other, so the board decides how that plays out.
A lead of 42.52 points is large but not decisive: ATo still takes about 285 of every 1,000 deals. Of every 100 boards, about 0.39 are split pots, and the equity figures already include them.
Among the 169 starting hands, QQ is number 3 and ATo is number 19 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 87,611,000 | 475,000 | 35,201,000 | |
| ATo | 35,201,000 | 475,000 | 87,611,000 |
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) |
|---|---|---|---|---|
| 2.479 | 1.407 | 3.502 | 0.403 | |
| ATo | 0.403 | 3.502 | 1.407 | 2.479 |
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
Across the five flop textures QQ's equity moves by 16.32 points, from 66.58% on monotone flops to 82.90% 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 | ATo wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 66.955 | 0.150 | 32.895 | 67.030 |
| Rainbow, nine or lower | 7.771 | 82.377 | 1.039 | 16.584 | 82.897 |
| Two-tone | 46.485 | 70.333 | 0.357 | 29.310 | 70.511 |
| Monotone | 5.151 | 65.716 | 1.731 | 32.553 | 66.581 |
| Paired | 17.333 | 75.047 | 0.083 | 24.870 | 75.089 |
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
Relative to a random opponent, QQ changes by -8.67 points (baseline 79.93%) and ATo by -33.98 points (baseline 62.72%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 71.255 | 79.925 | -8.670 | 0.89152 |
| QQ, rainbow, ten or higher | 67.030 | 79.925 | -12.895 | 0.83866 |
| QQ, rainbow, nine or lower | 82.897 | 79.925 | +2.972 | 1.03718 |
| QQ, two-tone | 70.511 | 79.925 | -9.414 | 0.88221 |
| QQ, monotone | 66.581 | 79.925 | -13.344 | 0.83304 |
| QQ, paired | 75.089 | 79.925 | -4.836 | 0.93949 |
| ATo, all flops | 28.745 | 62.722 | -33.977 | 0.45829 |
| ATo, rainbow, ten or higher | 32.970 | 62.722 | -29.752 | 0.52565 |
| ATo, rainbow, nine or lower | 17.103 | 62.722 | -45.619 | 0.27268 |
| ATo, two-tone | 29.489 | 62.722 | -33.233 | 0.47015 |
| ATo, monotone | 33.419 | 62.722 | -29.303 | 0.53281 |
| ATo, paired | 24.911 | 62.722 | -37.811 | 0.39717 |
Does a shared suit matter?
Does suit overlap move the numbers? QQ has 71.29% when the hands share a suit and 71.09% when they do not. The two rows differ by only 0.20 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | QQ wins | Ties | ATo wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 71.089 | 0.401 | 28.510 | 71.289 |
| No shared suit | 12 | 16.67 | 70.932 | 0.305 | 28.763 | 71.085 |
How often this matchup comes up
You will meet this exact matchup 0.0089% of the time in a random heads-up deal: 144 of 1,624,350, counting either seat order.
A worked example
Put $100 each into a $200 pot and deal every board once: QQ averages $142.52 back, ahead of its $100 by $42.52, while ATo averages $57.48, short of its $100 by $42.52.
Scaled to 1,000 deals, that is roughly 711 wins for QQ, 285 for ATo and 4 chopped pots.
The same matchup from the other side
If you came looking for ATo against QQ, the numbers are the same with the hands swapped: 28.74% and 71.26%.
Keep exploring
Open the calculator with QsQh against AdTc 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 72 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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