68.28%
Wins 68.08%, ties 0.40%
A9s
31.72%
Wins 31.52%, ties 0.40%
QQ against A9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 68.082 | 0.398 | 31.520 | 68.281 | |
| A9s | 31.520 | 0.398 | 68.082 | 31.719 |
One side is a pocket pair, the other 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 36.56 points is large but not decisive: A9s still takes about 315 of every 1,000 deals. A split pot comes up on 0.40% of boards, so the wins and the equity differ by half of that.
Ranked by equity against a random hand, QQ is number 3 of the 169 starting hands and A9s is number 18.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 27,978,000 | 164,000 | 12,953,000 | |
| A9s | 12,953,000 | 164,000 | 27,978,000 |
The total is exact: 24 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) |
|---|---|---|---|---|
| 2.153 | 1.469 | 3.173 | 0.465 | |
| A9s | 0.465 | 3.173 | 1.469 | 2.153 |
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
QQ prefers low rainbow flops (nine high or lower), where it holds 77.75%, and likes monotone flops least, where it holds 63.63%. QQ stays ahead on all five textures.
| Flop | Share of flops | QQ wins | Ties | A9s wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 67.373 | 0.151 | 32.476 | 67.449 |
| Rainbow, nine or lower | 7.042 | 77.233 | 1.028 | 21.739 | 77.747 |
| Two-tone | 46.545 | 66.332 | 0.321 | 33.347 | 66.493 |
| Monotone | 5.212 | 62.431 | 2.405 | 35.164 | 63.634 |
| Paired | 17.334 | 71.738 | 0.083 | 28.179 | 71.779 |
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
Compared with a random opponent, this matchup shifts QQ from 79.93% by -11.65 points and A9s from 62.78% by -31.06 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 68.281 | 79.925 | -11.644 | 0.85431 |
| QQ, rainbow, ten or higher | 67.449 | 79.925 | -12.476 | 0.84390 |
| QQ, rainbow, nine or lower | 77.747 | 79.925 | -2.178 | 0.97275 |
| QQ, two-tone | 66.493 | 79.925 | -13.432 | 0.83194 |
| QQ, monotone | 63.634 | 79.925 | -16.291 | 0.79617 |
| QQ, paired | 71.779 | 79.925 | -8.146 | 0.89808 |
| A9s, all flops | 31.719 | 62.781 | -31.062 | 0.50523 |
| A9s, rainbow, ten or higher | 32.551 | 62.781 | -30.230 | 0.51848 |
| A9s, rainbow, nine or lower | 22.253 | 62.781 | -40.528 | 0.35445 |
| A9s, two-tone | 33.507 | 62.781 | -29.274 | 0.53371 |
| A9s, monotone | 36.366 | 62.781 | -26.415 | 0.57925 |
| A9s, paired | 28.221 | 62.781 | -34.560 | 0.44951 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, QQ has 68.57%; looking only at deals where they do not, 67.99%. QQ does better with a shared suit, by 0.58 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | A9s wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 68.355 | 0.439 | 31.206 | 68.574 |
| No shared suit | 12 | 50.00 | 67.809 | 0.356 | 31.835 | 67.987 |
How often this matchup comes up
Counting specific cards, QQ against A9s appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, QQ's average share is $136.56 (a gain of $36.56) and A9s' is $63.44 (a loss of $36.56).
Over a long run, 1,000 deals split into about 681 for QQ, 315 for A9s and 4 tied.
The same matchup from the other side
Swap the hands and you get A9s with 31.72% against QQ with 68.28%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try QsQh against Ad9d 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
Method: exact enumeration. The 24 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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