AQs
75.58%
Wins 75.02%, ties 1.13%
KQo
24.42%
Wins 23.85%, ties 1.13%
AQs against KQo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQs | 75.015 | 1.132 | 23.853 | 75.581 |
| KQo | 23.853 | 1.132 | 75.015 | 24.419 |
The matchup pits a suited hand against an offsuit hand. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
AQs is the clear favorite, though KQo gets there on roughly one board in 4. Ties are part of the picture: 1.13% of boards end in a split pot, and each side counts that as half a win.
Among the 169 starting hands, AQs is number 10 and KQo is number 23 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQs | 46,241,000 | 698,000 | 14,704,000 |
| KQo | 14,704,000 | 698,000 | 46,241,000 |
The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AQs | 3.095 | 1.333 | 4.192 | 0.323 |
| KQo | 0.323 | 4.192 | 1.333 | 3.095 |
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
By flop texture, AQs' equity runs from 67.55% on monotone flops up to 87.19% on low rainbow flops (nine high or lower). AQs 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 | AQs wins | Ties | KQo wins | AQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 70.988 | 0.757 | 28.255 | 71.367 |
| Rainbow, nine or lower | 7.771 | 86.542 | 1.297 | 12.161 | 87.190 |
| Two-tone | 46.527 | 75.026 | 0.830 | 24.144 | 75.441 |
| Monotone | 5.192 | 66.263 | 2.571 | 31.166 | 67.548 |
| Paired | 17.333 | 77.826 | 1.937 | 20.237 | 78.794 |
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
How much does the opponent matter? Compared with its random-hand 66.21%, AQs changes by +9.37 points, and KQo, from 61.46%, by -37.04.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQs, all flops | 75.581 | 66.209 | +9.372 | 1.14155 |
| AQs, rainbow, ten or higher | 71.367 | 66.209 | +5.158 | 1.07790 |
| AQs, rainbow, nine or lower | 87.190 | 66.209 | +20.981 | 1.31689 |
| AQs, two-tone | 75.441 | 66.209 | +9.232 | 1.13944 |
| AQs, monotone | 67.548 | 66.209 | +1.339 | 1.02022 |
| AQs, paired | 78.794 | 66.209 | +12.585 | 1.19008 |
| KQo, all flops | 24.419 | 61.456 | -37.037 | 0.39734 |
| KQo, rainbow, ten or higher | 28.633 | 61.456 | -32.823 | 0.46591 |
| KQo, rainbow, nine or lower | 12.810 | 61.456 | -48.646 | 0.20844 |
| KQo, two-tone | 24.559 | 61.456 | -36.897 | 0.39962 |
| KQo, monotone | 32.452 | 61.456 | -29.004 | 0.52805 |
| KQo, paired | 21.206 | 61.456 | -40.250 | 0.34506 |
Does a shared suit matter?
When the hands share a suit, AQs holds 75.34%; when they do not, it holds 75.70%. AQs does better with no shared suit, by 0.36 points.
| Deals | Specific deals | Share of deals | AQs wins | Ties | KQo wins | AQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 74.747 | 1.195 | 24.058 | 75.344 |
| No shared suit | 24 | 66.67 | 75.150 | 1.100 | 23.750 | 75.700 |
How often this matchup comes up
Counting specific cards, AQs against KQo appears in 36 of the 1,624,350 ordered heads-up deals (0.0022%), and in 72 when the seats are swapped too (0.0044%).
A worked example
Take a $200 pot built from $100 each. AQs' equity of 75.58% is worth $151.16, a $51.16 edge, and KQo's 24.42% is worth $48.84, which is $51.16 under its stake.
Run 1,000 deals and the tally comes out near 750 for AQs, 239 for KQo and 11 ties.
The same matchup from the other side
The reversed view, KQo against AQs, shows 24.42% for KQo and 75.58% for AQs. It is the same count, so it redirects here.
Keep exploring
Open the calculator with AsQs against KhQd 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 36 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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