66.71%
Wins 66.50%, ties 0.42%
A5s
33.29%
Wins 33.08%, ties 0.42%
QQ against A5s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 66.497 | 0.424 | 33.079 | 66.709 | |
| A5s | 33.079 | 0.424 | 66.497 | 33.291 |
We compare a pocket pair with 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.
That is a clear edge, 66.71% to 33.29%, but A5s still wins often enough that one hand proves nothing. The tie share is 0.42%: on those boards the pot is chopped and neither hand wins outright.
Ranked by equity against a random hand, QQ is number 3 of the 169 starting hands and A5s is number 30.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 27,327,000 | 174,000 | 13,594,000 | |
| A5s | 13,594,000 | 174,000 | 27,327,000 |
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) |
|---|---|---|---|---|
| 2.004 | 1.504 | 3.023 | 0.499 | |
| A5s | 0.499 | 3.023 | 1.504 | 2.004 |
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
The flop changes the picture. QQ does best on low rainbow flops (nine high or lower), at 71.16%, and worst on monotone flops, at 62.50%. QQ stays ahead on all five textures.
| Flop | Share of flops | QQ wins | Ties | A5s wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 66.949 | 0.162 | 32.889 | 67.030 |
| Rainbow, nine or lower | 7.042 | 70.598 | 1.124 | 28.278 | 71.160 |
| Two-tone | 46.545 | 64.661 | 0.354 | 34.985 | 64.838 |
| Monotone | 5.212 | 61.286 | 2.435 | 36.279 | 62.503 |
| Paired | 17.334 | 70.708 | 0.083 | 29.209 | 70.750 |
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
A random hand would give QQ 79.93% and A5s 59.92%. Against each other the change is -13.22 points for QQ and -26.63 for A5s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 66.709 | 79.925 | -13.216 | 0.83464 |
| QQ, rainbow, ten or higher | 67.030 | 79.925 | -12.895 | 0.83866 |
| QQ, rainbow, nine or lower | 71.160 | 79.925 | -8.765 | 0.89033 |
| QQ, two-tone | 64.838 | 79.925 | -15.087 | 0.81124 |
| QQ, monotone | 62.503 | 79.925 | -17.422 | 0.78202 |
| QQ, paired | 70.750 | 79.925 | -9.175 | 0.88520 |
| A5s, all flops | 33.291 | 59.923 | -26.632 | 0.55556 |
| A5s, rainbow, ten or higher | 32.970 | 59.923 | -26.953 | 0.55021 |
| A5s, rainbow, nine or lower | 28.840 | 59.923 | -31.083 | 0.48128 |
| A5s, two-tone | 35.162 | 59.923 | -24.761 | 0.58679 |
| A5s, monotone | 37.497 | 59.923 | -22.426 | 0.62575 |
| A5s, paired | 29.250 | 59.923 | -30.673 | 0.48813 |
Does a shared suit matter?
When the hands share a suit, QQ holds 66.99%; when they do not, it holds 66.43%. QQ does better with a shared suit, by 0.56 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | A5s wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 66.758 | 0.466 | 32.776 | 66.991 |
| No shared suit | 12 | 50.00 | 66.236 | 0.382 | 33.382 | 66.427 |
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
Worked example: both players commit $100, so $200 sits in the middle. Over every board, QQ's average share is $133.42 (a gain of $33.42) and A5s' is $66.58 (a loss of $33.42).
Run 1,000 deals and the tally comes out near 665 for QQ, 331 for A5s and 4 ties.
The same matchup from the other side
A5s versus QQ is this same page seen from the other hand: 33.29% for A5s, 66.71% for QQ.
Keep exploring
Open the calculator with QsQh against Ad5d 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 24 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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