68.12%
Wins 67.93%, ties 0.38%
A6s
31.88%
Wins 31.69%, ties 0.38%
QQ against A6s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 67.929 | 0.381 | 31.690 | 68.119 | |
| A6s | 31.690 | 0.381 | 67.929 | 31.881 |
QQ, a pocket pair, plays A6s, a suited hand. One of the other hand's cards outranks the pair and one is below it, which makes this a closer race than a pair against two small cards.
QQ is the clear favorite, though A6s gets there on roughly one board in 3. About 0.38% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Among the 169 starting hands, QQ is number 3 and A6s is number 31 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 27,916,000 | 157,000 | 13,023,000 | |
| A6s | 13,023,000 | 157,000 | 27,916,000 |
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) |
|---|---|---|---|---|
| 2.137 | 1.472 | 3.156 | 0.468 | |
| A6s | 0.468 | 3.156 | 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
By flop texture, QQ's equity runs from 63.56% on monotone flops up to 75.33% on low rainbow flops (nine high or lower). QQ stays ahead on all five textures.
| Flop | Share of flops | QQ wins | Ties | A6s wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 67.871 | 0.121 | 32.008 | 67.931 |
| Rainbow, nine or lower | 7.042 | 74.818 | 1.024 | 24.158 | 75.330 |
| Two-tone | 46.545 | 66.182 | 0.303 | 33.515 | 66.334 |
| Monotone | 5.212 | 62.359 | 2.397 | 35.244 | 63.558 |
| Paired | 17.334 | 71.574 | 0.083 | 28.343 | 71.615 |
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
Against one random hand instead, QQ holds 79.93% and A6s holds 59.91%. Facing each other changes that by -11.81 points for QQ and -28.03 points for A6s.
| 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 | 67.931 | 79.925 | -11.994 | 0.84993 |
| QQ, rainbow, nine or lower | 75.330 | 79.925 | -4.595 | 0.94251 |
| QQ, two-tone | 66.334 | 79.925 | -13.591 | 0.82995 |
| QQ, monotone | 63.558 | 79.925 | -16.367 | 0.79522 |
| QQ, paired | 71.615 | 79.925 | -8.310 | 0.89603 |
| A6s, all flops | 31.881 | 59.906 | -28.025 | 0.53218 |
| A6s, rainbow, ten or higher | 32.069 | 59.906 | -27.837 | 0.53532 |
| A6s, rainbow, nine or lower | 24.670 | 59.906 | -35.236 | 0.41181 |
| A6s, two-tone | 33.666 | 59.906 | -26.240 | 0.56198 |
| A6s, monotone | 36.442 | 59.906 | -23.464 | 0.60832 |
| A6s, paired | 28.385 | 59.906 | -31.521 | 0.47383 |
Does a shared suit matter?
When the hands share a suit, QQ holds 68.42%; when they do not, it holds 67.82%. QQ does better with a shared suit, by 0.60 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | A6s wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 68.208 | 0.423 | 31.369 | 68.420 |
| No shared suit | 12 | 50.00 | 67.649 | 0.339 | 32.012 | 67.819 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 24 are QQ in one seat and A6s in the other (0.0015%); with the seats swapped too, 48 (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 $136.24 (a gain of $36.24) and A6s' is $63.76 (a loss of $36.24).
Run 1,000 deals and the tally comes out near 679 for QQ, 317 for A6s and 4 ties.
The same matchup from the other side
One page covers both views. From A6s' side the equity is 31.88%, and from QQ's side it is 68.12%.
Keep exploring
Open the calculator with QsQh against Ad6d 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
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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