AQo
70.41%
Wins 69.85%, ties 1.13%
KQs
29.59%
Wins 29.02%, ties 1.13%
AQo against KQs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 69.847 | 1.130 | 29.023 | 70.412 |
| KQs | 29.023 | 1.130 | 69.847 | 29.588 |
Here an offsuit hand (AQo) meets a suited hand (KQs). Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
AQo is the clear favorite, though KQs gets there on roughly one board in 3. The tie share is 1.13%: on those boards the pot is chopped and neither hand wins outright.
In the ranking of all 169 starting hands, AQo is number 14 and KQs is number 16.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 43,056,000 | 697,000 | 17,891,000 |
| KQs | 17,891,000 | 697,000 | 43,056,000 |
36 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) |
|---|---|---|---|---|
| AQo | 2.380 | 1.432 | 3.446 | 0.420 |
| KQs | 0.420 | 3.446 | 1.432 | 2.380 |
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, AQo's equity runs from 65.53% on monotone flops up to 83.56% on low rainbow flops (nine high or lower). AQo 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 | AQo wins | Ties | KQs wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 67.954 | 0.757 | 31.289 | 68.333 |
| Rainbow, nine or lower | 7.771 | 82.913 | 1.293 | 15.794 | 83.559 |
| Two-tone | 46.527 | 68.149 | 0.827 | 31.024 | 68.562 |
| Monotone | 5.192 | 64.242 | 2.569 | 33.189 | 65.527 |
| Paired | 17.333 | 72.760 | 1.937 | 25.303 | 73.729 |
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, AQo changes by +5.98 points (baseline 64.43%) and KQs by -33.81 points (baseline 63.40%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 70.412 | 64.432 | +5.980 | 1.09281 |
| AQo, rainbow, ten or higher | 68.333 | 64.432 | +3.901 | 1.06054 |
| AQo, rainbow, nine or lower | 83.559 | 64.432 | +19.127 | 1.29686 |
| AQo, two-tone | 68.562 | 64.432 | +4.130 | 1.06410 |
| AQo, monotone | 65.527 | 64.432 | +1.095 | 1.01699 |
| AQo, paired | 73.729 | 64.432 | +9.297 | 1.14429 |
| KQs, all flops | 29.588 | 63.400 | -33.812 | 0.46669 |
| KQs, rainbow, ten or higher | 31.667 | 63.400 | -31.733 | 0.49948 |
| KQs, rainbow, nine or lower | 16.441 | 63.400 | -46.959 | 0.25932 |
| KQs, two-tone | 31.438 | 63.400 | -31.962 | 0.49587 |
| KQs, monotone | 34.473 | 63.400 | -28.927 | 0.54374 |
| KQs, paired | 26.271 | 63.400 | -37.129 | 0.41437 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, AQo has 71.49%; looking only at deals where they do not, 69.88%. AQo does better with a shared suit, by 1.61 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | KQs wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 70.890 | 1.195 | 27.915 | 71.487 |
| No shared suit | 24 | 66.67 | 69.326 | 1.098 | 29.576 | 69.875 |
How often this matchup comes up
This page stands for 36 specific-card matchups (0.0022% of 1,624,350 ordered deals), or 72 once you count the seats both ways (0.0044%).
A worked example
Put $100 each into a $200 pot and deal every board once: AQo averages $140.82 back, ahead of its $100 by $40.82, while KQs averages $59.18, short of its $100 by $40.82.
Out of 1,000 deals you should see around 699 outright wins for AQo, 290 for KQs, and 11 split pots.
The same matchup from the other side
Swap the hands and you get KQs with 29.59% against AQo with 70.41%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try AsQh against KdQd in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
Each figure is a complete count over boards. Take the 36 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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