67.44%
Wins 67.21%, ties 0.45%
A3s
32.56%
Wins 32.34%, ties 0.45%
QQ against A3s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 67.213 | 0.446 | 32.341 | 67.436 | |
| A3s | 32.341 | 0.446 | 67.213 | 32.564 |
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 34.88 points is large but not decisive: A3s still takes about 323 of every 1,000 deals. Split pots make up 0.45% of the boards, and both equity figures count them as half a win each.
In the ranking of all 169 starting hands, QQ is number 3 and A3s is number 38.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 27,621,000 | 183,000 | 13,291,000 | |
| A3s | 13,291,000 | 183,000 | 27,621,000 |
Exact total: 24 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 2.071 | 1.488 | 3.092 | 0.483 | |
| A3s | 0.483 | 3.092 | 1.488 | 2.071 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: QQ holds 73.98% on low rainbow flops (nine high or lower) and 63.05% on monotone flops. QQ stays ahead on all five textures.
| Flop | Share of flops | QQ wins | Ties | A3s wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 67.271 | 0.162 | 32.567 | 67.352 |
| Rainbow, nine or lower | 7.042 | 73.347 | 1.266 | 25.387 | 73.980 |
| Two-tone | 46.545 | 65.450 | 0.378 | 34.172 | 65.639 |
| Monotone | 5.212 | 61.825 | 2.446 | 35.729 | 63.048 |
| Paired | 17.334 | 70.996 | 0.083 | 28.921 | 71.038 |
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 -12.49 points (baseline 79.93%) and A3s by -25.66 points (baseline 58.22%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 67.436 | 79.925 | -12.489 | 0.84374 |
| QQ, rainbow, ten or higher | 67.352 | 79.925 | -12.573 | 0.84269 |
| QQ, rainbow, nine or lower | 73.980 | 79.925 | -5.945 | 0.92562 |
| QQ, two-tone | 65.639 | 79.925 | -14.286 | 0.82126 |
| QQ, monotone | 63.048 | 79.925 | -16.877 | 0.78884 |
| QQ, paired | 71.038 | 79.925 | -8.887 | 0.88881 |
| A3s, all flops | 32.564 | 58.220 | -25.656 | 0.55933 |
| A3s, rainbow, ten or higher | 32.648 | 58.220 | -25.572 | 0.56077 |
| A3s, rainbow, nine or lower | 26.020 | 58.220 | -32.200 | 0.44693 |
| A3s, two-tone | 34.361 | 58.220 | -23.859 | 0.59019 |
| A3s, monotone | 36.952 | 58.220 | -21.268 | 0.63470 |
| A3s, paired | 28.962 | 58.220 | -29.258 | 0.49746 |
Does a shared suit matter?
Does suit overlap move the numbers? QQ has 67.73% when the hands share a suit and 67.15% when they do not. QQ does better with a shared suit, by 0.58 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | A3s wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 67.482 | 0.488 | 32.030 | 67.726 |
| No shared suit | 12 | 50.00 | 66.944 | 0.404 | 32.652 | 67.146 |
How often this matchup comes up
You will meet this exact matchup 0.0030% of the time in a random heads-up deal: 48 of 1,624,350, counting either seat order.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says QQ gets $134.88 of it on average and A3s gets $65.12.
Over a long run, 1,000 deals split into about 672 for QQ, 323 for A3s and 5 tied.
The same matchup from the other side
Swap the hands and you get A3s with 32.56% against QQ with 67.44%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Open the calculator with QsQh against Ad3d 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
Each figure is a complete count over boards. Take the 24 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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