67.96%
Wins 67.77%, ties 0.39%
A8s
32.04%
Wins 31.84%, ties 0.39%
QQ against A8s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 67.768 | 0.387 | 31.845 | 67.961 | |
| A8s | 31.845 | 0.387 | 67.768 | 32.039 |
The first hand is a pocket pair; the second is 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 A8s gets there on roughly one board in 3. Ties are 0.39% of the outcomes here; each tied board gives both hands half the pot.
In the ranking of all 169 starting hands, QQ is number 3 and A8s is number 21.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 27,849,000 | 159,000 | 13,087,000 | |
| A8s | 13,087,000 | 159,000 | 27,849,000 |
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) |
|---|---|---|---|---|
| 2.121 | 1.476 | 3.140 | 0.471 | |
| A8s | 0.471 | 3.140 | 1.476 | 2.121 |
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
Split by what the flop looks like, QQ peaks at 76.43% on low rainbow flops (nine high or lower) and bottoms out at 63.41% on monotone flops. QQ stays ahead on all five textures.
| Flop | Share of flops | QQ wins | Ties | A8s wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 67.262 | 0.151 | 32.587 | 67.338 |
| Rainbow, nine or lower | 7.042 | 75.950 | 0.957 | 23.093 | 76.428 |
| Two-tone | 46.545 | 65.991 | 0.309 | 33.700 | 66.146 |
| Monotone | 5.212 | 62.206 | 2.400 | 35.394 | 63.406 |
| Paired | 17.334 | 71.583 | 0.083 | 28.334 | 71.625 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Relative to a random opponent, QQ changes by -11.97 points (baseline 79.93%) and A8s by -29.90 points (baseline 61.94%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 67.961 | 79.925 | -11.964 | 0.85031 |
| QQ, rainbow, ten or higher | 67.338 | 79.925 | -12.587 | 0.84251 |
| QQ, rainbow, nine or lower | 76.428 | 79.925 | -3.497 | 0.95625 |
| QQ, two-tone | 66.146 | 79.925 | -13.779 | 0.82760 |
| QQ, monotone | 63.406 | 79.925 | -16.519 | 0.79332 |
| QQ, paired | 71.625 | 79.925 | -8.300 | 0.89615 |
| A8s, all flops | 32.039 | 61.944 | -29.905 | 0.51723 |
| A8s, rainbow, ten or higher | 32.662 | 61.944 | -29.282 | 0.52728 |
| A8s, rainbow, nine or lower | 23.572 | 61.944 | -38.372 | 0.38054 |
| A8s, two-tone | 33.854 | 61.944 | -28.090 | 0.54653 |
| A8s, monotone | 36.594 | 61.944 | -25.350 | 0.59076 |
| A8s, paired | 28.375 | 61.944 | -33.569 | 0.45808 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and QQ holds 68.25%. In 12 they do not, and it holds 67.67%. QQ does better with a shared suit, by 0.58 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | A8s wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 68.038 | 0.428 | 31.534 | 68.252 |
| No shared suit | 12 | 50.00 | 67.498 | 0.345 | 32.157 | 67.670 |
How often this matchup comes up
QQ against A8s is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.
A worked example
Take a $200 pot built from $100 each. QQ's equity of 67.96% is worth $135.92, a $35.92 edge, and A8s' 32.04% is worth $64.08, which is $35.92 under its stake.
Think in thousands: about 678 of 1,000 go to QQ, about 318 go to A8s, and about 4 are chopped.
The same matchup from the other side
One page covers both views. From A8s' side the equity is 32.04%, and from QQ's side it is 67.96%.
Keep exploring
Open the calculator with QsQh against Ad8d 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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