65.73%
Wins 65.10%, ties 1.24%
AQs
34.27%
Wins 33.66%, ties 1.24%
QQ against AQs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 65.104 | 1.242 | 33.654 | 65.725 | |
| AQs | 33.654 | 1.242 | 65.104 | 34.275 |
QQ is a pocket pair and AQs is a suited hand. One hand holds a card of the same rank as the pair, which removes a card the pair needs and makes the pair a bigger favorite.
A lead of 31.46 points is large but not decisive: AQs still takes about 337 of every 1,000 deals. The tie share is 1.24%: on those boards the pot is chopped and neither hand wins outright.
QQ ranks number 3 of 169 starting hands, and AQs ranks number 10, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 13,377,000 | 255,000 | 6,915,000 | |
| AQs | 6,915,000 | 255,000 | 13,377,000 |
The total is exact: 12 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) |
|---|---|---|---|---|
| 1.918 | 1.536 | 2.971 | 0.521 | |
| AQs | 0.521 | 2.971 | 1.536 | 1.918 |
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
By flop texture, QQ's equity runs from 61.22% on monotone flops up to 81.74% on low rainbow flops (nine high or lower). QQ stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | QQ wins | Ties | AQs wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.011 | 60.746 | 1.455 | 37.799 | 61.474 |
| Rainbow, nine or lower | 7.771 | 81.012 | 1.462 | 17.526 | 81.743 |
| Two-tone | 46.236 | 62.558 | 1.317 | 36.125 | 63.217 |
| Monotone | 5.151 | 60.057 | 2.334 | 37.609 | 61.224 |
| Paired | 17.831 | 71.856 | 0.360 | 27.784 | 72.036 |
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 -14.20 points and AQs from 66.21% by -31.94 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 65.725 | 79.925 | -14.200 | 0.82233 |
| QQ, rainbow, ten or higher | 61.474 | 79.925 | -18.451 | 0.76915 |
| QQ, rainbow, nine or lower | 81.743 | 79.925 | +1.818 | 1.02275 |
| QQ, two-tone | 63.217 | 79.925 | -16.708 | 0.79095 |
| QQ, monotone | 61.224 | 79.925 | -18.701 | 0.76602 |
| QQ, paired | 72.036 | 79.925 | -7.889 | 0.90129 |
| AQs, all flops | 34.275 | 66.209 | -31.934 | 0.51768 |
| AQs, rainbow, ten or higher | 38.526 | 66.209 | -27.683 | 0.58188 |
| AQs, rainbow, nine or lower | 18.257 | 66.209 | -47.952 | 0.27575 |
| AQs, two-tone | 36.783 | 66.209 | -29.426 | 0.55556 |
| AQs, monotone | 38.776 | 66.209 | -27.433 | 0.58566 |
| AQs, paired | 27.964 | 66.209 | -38.245 | 0.42236 |
Does a shared suit matter?
The hands cannot hold a suit in common here, which leaves a single case and a single number: 65.73% for QQ.
| Deals | Specific deals | Share of deals | QQ wins | Ties | AQs wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 65.104 | 1.242 | 33.654 | 65.725 |
How often this matchup comes up
This page stands for 12 specific-card matchups (0.0007% of 1,624,350 ordered deals), or 24 once you count the seats both ways (0.0015%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says QQ gets $131.46 of it on average and AQs gets $68.54.
Think in thousands: about 651 of 1,000 go to QQ, about 337 go to AQs, and about 12 are chopped.
The same matchup from the other side
If you came looking for AQs against QQ, the numbers are the same with the hands swapped: 34.27% and 65.73%.
Keep exploring
Open the calculator with QsQh against AdQd 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 12 specific deals of QQ against AQs, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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