AQo
63.82%
Wins 63.60%, ties 0.45%
K9o
36.18%
Wins 35.95%, ties 0.45%
AQo against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 63.596 | 0.447 | 35.957 | 63.820 |
| K9o | 35.957 | 0.447 | 63.596 | 36.180 |
This is a contest between two offsuit hands, AQo and K9o. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. A split pot comes up on 0.45% of boards, so the wins and the equity differ by half of that.
AQo ranks number 14 of 169 starting hands, and K9o ranks number 40, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 156,810,000 | 1,102,000 | 88,660,000 |
| K9o | 88,660,000 | 1,102,000 | 156,810,000 |
144 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 | 1.764 | 1.572 | 2.781 | 0.567 |
| K9o | 0.567 | 2.781 | 1.572 | 1.764 |
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 58.24% on low rainbow flops (nine high or lower) up to 67.05% on paired flops. AQo stays ahead on all five textures.
| Flop | Share of flops | AQo wins | Ties | K9o wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.110 | 64.810 | 0.123 | 35.067 | 64.872 |
| Rainbow, nine or lower | 7.042 | 57.703 | 1.067 | 41.230 | 58.236 |
| Two-tone | 46.606 | 63.031 | 0.322 | 36.647 | 63.192 |
| Monotone | 5.151 | 60.653 | 1.706 | 37.641 | 61.506 |
| Paired | 17.091 | 66.744 | 0.608 | 32.648 | 67.048 |
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
Relative to a random opponent, AQo changes by -0.61 points (baseline 64.43%) and K9o by -21.63 points (baseline 57.81%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 63.820 | 64.432 | -0.612 | 0.99050 |
| AQo, rainbow, ten or higher | 64.872 | 64.432 | +0.440 | 1.00683 |
| AQo, rainbow, nine or lower | 58.236 | 64.432 | -6.196 | 0.90384 |
| AQo, two-tone | 63.192 | 64.432 | -1.240 | 0.98075 |
| AQo, monotone | 61.506 | 64.432 | -2.926 | 0.95459 |
| AQo, paired | 67.048 | 64.432 | +2.616 | 1.04060 |
| K9o, all flops | 36.180 | 57.812 | -21.632 | 0.62582 |
| K9o, rainbow, ten or higher | 35.128 | 57.812 | -22.684 | 0.60762 |
| K9o, rainbow, nine or lower | 41.764 | 57.812 | -16.048 | 0.72241 |
| K9o, two-tone | 36.808 | 57.812 | -21.004 | 0.63668 |
| K9o, monotone | 38.494 | 57.812 | -19.318 | 0.66585 |
| K9o, paired | 32.952 | 57.812 | -24.860 | 0.56999 |
Does a shared suit matter?
Does suit overlap move the numbers? AQo has 63.89% when the hands share a suit and 63.49% when they do not. AQo does better with a shared suit, by 0.40 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | K9o wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 63.655 | 0.463 | 35.882 | 63.887 |
| No shared suit | 24 | 16.67 | 63.301 | 0.368 | 36.331 | 63.485 |
How often this matchup comes up
This page stands for 144 specific-card matchups (0.0089% of 1,624,350 ordered deals), or 288 once you count the seats both ways (0.0177%).
A worked example
Take a $200 pot built from $100 each. AQo's equity of 63.82% is worth $127.64, a $27.64 edge, and K9o's 36.18% is worth $72.36, which is $27.64 under its stake.
Over a long run, 1,000 deals split into about 636 for AQo, 360 for K9o and 4 tied.
The same matchup from the other side
K9o versus AQo is this same page seen from the other hand: 36.18% for K9o, 63.82% for AQo.
Keep exploring
AsQh against Kd9c 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
Each figure is a complete count over boards. Take the 144 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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