68.12%
Wins 67.93%, ties 0.38%
A7s
31.88%
Wins 31.69%, ties 0.38%
QQ against A7s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 67.928 | 0.381 | 31.691 | 68.119 | |
| A7s | 31.691 | 0.381 | 67.928 | 31.881 |
The first hand is a pocket pair; the second is a suited hand. The pair is ahead of one card and behind the other, so the board decides how that plays out.
A lead of 36.24 points is large but not decisive: A7s still takes about 317 of every 1,000 deals. About 0.38% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
For context, QQ sits at number 3 of 169 starting hands and A7s at number 24 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 27,915,000 | 157,000 | 13,024,000 | |
| A7s | 13,024,000 | 157,000 | 27,915,000 |
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) |
|---|---|---|---|---|
| 2.137 | 1.472 | 3.155 | 0.468 | |
| A7s | 0.468 | 3.155 | 1.472 | 2.137 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
Low rainbow flops (nine high or lower) are the best for QQ (75.26%); monotone flops are the worst (63.56%). QQ stays ahead on all five textures.
| Flop | Share of flops | QQ wins | Ties | A7s wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 67.871 | 0.161 | 31.968 | 67.952 |
| Rainbow, nine or lower | 7.042 | 74.817 | 0.887 | 24.296 | 75.261 |
| Two-tone | 46.545 | 66.182 | 0.303 | 33.515 | 66.334 |
| Monotone | 5.212 | 62.359 | 2.397 | 35.244 | 63.557 |
| Paired | 17.334 | 71.570 | 0.083 | 28.347 | 71.611 |
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
A random hand would give QQ 79.93% and A7s 60.98%. Against each other the change is -11.81 points for QQ and -29.10 for A7s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 68.119 | 79.925 | -11.806 | 0.85229 |
| QQ, rainbow, ten or higher | 67.952 | 79.925 | -11.973 | 0.85020 |
| QQ, rainbow, nine or lower | 75.261 | 79.925 | -4.664 | 0.94165 |
| QQ, two-tone | 66.334 | 79.925 | -13.591 | 0.82995 |
| QQ, monotone | 63.557 | 79.925 | -16.368 | 0.79521 |
| QQ, paired | 71.611 | 79.925 | -8.314 | 0.89598 |
| A7s, all flops | 31.881 | 60.984 | -29.103 | 0.52278 |
| A7s, rainbow, ten or higher | 32.048 | 60.984 | -28.936 | 0.52551 |
| A7s, rainbow, nine or lower | 24.739 | 60.984 | -36.245 | 0.40566 |
| A7s, two-tone | 33.666 | 60.984 | -27.318 | 0.55205 |
| A7s, monotone | 36.443 | 60.984 | -24.541 | 0.59758 |
| A7s, paired | 28.389 | 60.984 | -32.595 | 0.46552 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common QQ has 68.42% equity, and with none in common it has 67.82%. QQ does better with a shared suit, by 0.60 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | A7s wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 68.207 | 0.423 | 31.370 | 68.419 |
| No shared suit | 12 | 50.00 | 67.649 | 0.339 | 32.012 | 67.818 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are QQ against A7s, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average QQ takes back $136.24 of it, which is $36.24 more than it put in, and A7s takes back $63.76, $36.24 less than it put in.
Scaled to 1,000 deals, that is roughly 679 wins for QQ, 317 for A7s and 4 chopped pots.
The same matchup from the other side
The mirror image, A7s against QQ, is 31.88% to 68.12%, and its address redirects to this page.
Keep exploring
Open the calculator with QsQh against Ad7d 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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