AJo
60.42%
Wins 60.19%, ties 0.46%
K9s
39.58%
Wins 39.35%, ties 0.46%
AJo against K9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 60.189 | 0.458 | 39.353 | 60.418 |
| K9s | 39.353 | 0.458 | 60.189 | 39.582 |
The first hand is an offsuit hand; the second is a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
AJo is ahead, but K9s is far from dead: it takes 393 of every 1,000 deals outright. Ties are 0.46% of the outcomes here; each tied board gives both hands half the pot.
For context, AJo sits at number 15 of 169 starting hands and K9s at number 29 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 49,470,000 | 376,000 | 32,344,000 |
| K9s | 32,344,000 | 376,000 | 49,470,000 |
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) |
|---|---|---|---|---|
| AJo | 1.526 | 1.661 | 2.541 | 0.655 |
| K9s | 0.655 | 2.541 | 1.661 | 1.526 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Across the five flop textures AJo's equity moves by 7.00 points, from 56.48% on low rainbow flops (nine high or lower) to 63.48% on paired flops. AJo stays ahead on all five textures.
| Flop | Share of flops | AJo wins | Ties | K9s wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 63.285 | 0.125 | 36.590 | 63.348 |
| Rainbow, nine or lower | 7.042 | 56.006 | 0.948 | 43.046 | 56.480 |
| Two-tone | 46.667 | 58.574 | 0.283 | 41.143 | 58.715 |
| Monotone | 5.212 | 56.270 | 2.376 | 41.354 | 57.458 |
| Paired | 17.091 | 63.174 | 0.612 | 36.214 | 63.480 |
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
Each hand has a baseline against a random hand: 63.56% for AJo, 59.99% for K9s. Here the change is -3.14 and -20.41 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 60.418 | 63.563 | -3.145 | 0.95052 |
| AJo, rainbow, ten or higher | 63.348 | 63.563 | -0.215 | 0.99662 |
| AJo, rainbow, nine or lower | 56.480 | 63.563 | -7.083 | 0.88857 |
| AJo, two-tone | 58.715 | 63.563 | -4.848 | 0.92373 |
| AJo, monotone | 57.458 | 63.563 | -6.105 | 0.90395 |
| AJo, paired | 63.480 | 63.563 | -0.083 | 0.99869 |
| K9s, all flops | 39.582 | 59.988 | -20.406 | 0.65983 |
| K9s, rainbow, ten or higher | 36.652 | 59.988 | -23.336 | 0.61099 |
| K9s, rainbow, nine or lower | 43.520 | 59.988 | -16.468 | 0.72548 |
| K9s, two-tone | 41.285 | 59.988 | -18.703 | 0.68822 |
| K9s, monotone | 42.542 | 59.988 | -17.446 | 0.70918 |
| K9s, paired | 36.520 | 59.988 | -23.468 | 0.60879 |
Does a shared suit matter?
The suit split reads 60.99% for AJo with a shared suit and 59.84% without one. AJo does better with a shared suit, by 1.15 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | K9s wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.743 | 0.498 | 38.759 | 60.992 |
| No shared suit | 24 | 50.00 | 59.636 | 0.416 | 39.948 | 59.844 |
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
Say each player puts $100 in before the flop, making a $200 pot. On average AJo takes back $120.84 of it, which is $20.84 more than it put in, and K9s takes back $79.16, $20.84 less than it put in.
Scaled to 1,000 deals, that is roughly 602 wins for AJo, 393 for K9s and 5 chopped pots.
The same matchup from the other side
K9s versus AJo is this same page seen from the other hand: 39.58% for K9s, 60.42% for AJo.
Keep exploring
The calculator link fills in AsJh against Kd9d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of AJo against K9s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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