AQo
59.18%
Wins 58.94%, ties 0.48%
KJs
40.82%
Wins 40.58%, ties 0.48%
AQo against KJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 58.941 | 0.482 | 40.577 | 59.182 |
| KJs | 40.577 | 0.482 | 58.941 | 40.818 |
We compare an offsuit hand with a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 18.36 point lead is real, and KJs still takes about 406 of every 1,000 deals outright. The tie share is 0.48%: on those boards the pot is chopped and neither hand wins outright.
The hand ranking puts AQo at 14 and KJs at 20 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 48,444,000 | 396,000 | 33,350,000 |
| KJs | 33,350,000 | 396,000 | 48,444,000 |
The board total is exact, 48 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) |
|---|---|---|---|---|
| AQo | 1.450 | 1.697 | 2.464 | 0.690 |
| KJs | 0.690 | 2.464 | 1.697 | 1.450 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
By flop texture, AQo's equity runs from 56.02% on rainbow flops topped by a ten or better up to 73.14% 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 | KJs wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 55.981 | 0.071 | 43.948 | 56.016 |
| Rainbow, nine or lower | 7.770 | 72.551 | 1.183 | 26.266 | 73.142 |
| Two-tone | 46.667 | 57.264 | 0.314 | 42.422 | 57.421 |
| Monotone | 5.212 | 55.346 | 2.393 | 42.261 | 56.543 |
| Paired | 17.091 | 62.455 | 0.600 | 36.945 | 62.755 |
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 64.43%, AQo changes by -5.25 points, and KJs, from 62.57%, by -21.75.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 59.182 | 64.432 | -5.250 | 0.91852 |
| AQo, rainbow, ten or higher | 56.016 | 64.432 | -8.416 | 0.86938 |
| AQo, rainbow, nine or lower | 73.142 | 64.432 | +8.710 | 1.13518 |
| AQo, two-tone | 57.421 | 64.432 | -7.011 | 0.89119 |
| AQo, monotone | 56.543 | 64.432 | -7.889 | 0.87756 |
| AQo, paired | 62.755 | 64.432 | -1.677 | 0.97397 |
| KJs, all flops | 40.818 | 62.567 | -21.749 | 0.65239 |
| KJs, rainbow, ten or higher | 43.984 | 62.567 | -18.583 | 0.70299 |
| KJs, rainbow, nine or lower | 26.858 | 62.567 | -35.709 | 0.42927 |
| KJs, two-tone | 42.579 | 62.567 | -19.988 | 0.68053 |
| KJs, monotone | 43.457 | 62.567 | -19.110 | 0.69457 |
| KJs, paired | 37.245 | 62.567 | -25.322 | 0.59528 |
Does a shared suit matter?
Split by suits, the deals give AQo 59.72% when the hands overlap in a suit and 58.64% when they do not. AQo does better with a shared suit, by 1.08 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | KJs wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.459 | 0.523 | 40.018 | 59.721 |
| No shared suit | 24 | 50.00 | 58.422 | 0.442 | 41.136 | 58.643 |
How often this matchup comes up
Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, AQo's average share is $118.36 (a gain of $18.36) and KJs' is $81.64 (a loss of $18.36).
Over a long run, 1,000 deals split into about 589 for AQo, 406 for KJs and 5 tied.
The same matchup from the other side
KJs against AQo adds nothing new: it is 40.82% for KJs and 59.18% for AQo, the same figures reversed.
Keep exploring
Try AsQh against KdJd 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 48 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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