AQs
52.49%
Wins 7.16%, ties 90.67%
AQo
47.51%
Wins 2.17%, ties 90.67%
AQs against AQo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQs | 7.158 | 90.669 | 2.173 | 52.492 |
| AQo | 2.173 | 90.669 | 7.158 | 47.508 |
The first hand is a suited hand; the second is an offsuit hand. Same ranks, different suit pattern: the whole gap comes from flush chances.
With only 4.98 points between them, the board decides this matchup far more than the cards in hand. The tie share is 90.67%: on those boards the pot is chopped and neither hand wins outright.
In the ranking of all 169 starting hands, AQs is number 10 and AQo is number 14.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQs | 2,942,000 | 37,261,000 | 893,000 |
| AQo | 893,000 | 37,261,000 | 2,942,000 |
24 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| AQs | 1.105 | 13.970 | 46.019 | 0.905 |
| AQo | 0.905 | 46.019 | 13.970 | 1.105 |
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: AQs holds 53.28% on two-tone flops and 50.29% on monotone flops. AQs stays ahead on all five textures, and the gap between its best and worst is only 2.99 points, so the shape of the flop hardly changes who is favored.
| Flop | Share of flops | AQs wins | Ties | AQo wins | AQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 3.265 | 96.735 | 0.000 | 51.633 |
| Rainbow, nine or lower | 7.771 | 3.409 | 96.591 | 0.000 | 51.705 |
| Two-tone | 46.363 | 8.829 | 88.901 | 2.270 | 53.280 |
| Monotone | 5.152 | 18.513 | 63.544 | 17.943 | 50.285 |
| Paired | 17.576 | 6.201 | 92.681 | 1.118 | 52.541 |
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
Each hand has a baseline against a random hand: 66.21% for AQs, 64.43% for AQo. Here the change is -13.72 and -16.92 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQs, all flops | 52.492 | 66.209 | -13.717 | 0.79282 |
| AQs, rainbow, ten or higher | 51.633 | 66.209 | -14.576 | 0.77985 |
| AQs, rainbow, nine or lower | 51.705 | 66.209 | -14.504 | 0.78094 |
| AQs, two-tone | 53.280 | 66.209 | -12.929 | 0.80472 |
| AQs, monotone | 50.285 | 66.209 | -15.924 | 0.75949 |
| AQs, paired | 52.541 | 66.209 | -13.668 | 0.79356 |
| AQo, all flops | 47.508 | 64.432 | -16.924 | 0.73734 |
| AQo, rainbow, ten or higher | 48.367 | 64.432 | -16.065 | 0.75067 |
| AQo, rainbow, nine or lower | 48.295 | 64.432 | -16.137 | 0.74955 |
| AQo, two-tone | 46.720 | 64.432 | -17.712 | 0.72511 |
| AQo, monotone | 49.715 | 64.432 | -14.717 | 0.77159 |
| AQo, paired | 47.459 | 64.432 | -16.973 | 0.73657 |
Does a shared suit matter?
A shared suit is impossible for this matchup, so AQs' 52.49% is the answer for every suit pattern.
| Deals | Specific deals | Share of deals | AQs wins | Ties | AQo wins | AQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 24 | 100.00 | 7.158 | 90.669 | 2.173 | 52.492 |
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
Take a $200 pot built from $100 each. AQs' equity of 52.49% is worth $104.98, a $4.98 edge, and AQo's 47.51% is worth $95.02, which is $4.98 under its stake.
Run 1,000 deals and the tally comes out near 71 for AQs, 22 for AQo and 907 ties.
The same matchup from the other side
Read it from the other side: AQo against AQs is the same matchup with the numbers swapped, so AQo holds 47.51% and AQs holds 52.49%. That address sends you back to this page.
Keep exploring
AsQs against AhQd is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
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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