AJs
62.97%
Wins 62.72%, ties 0.50%
K9s
37.03%
Wins 36.78%, ties 0.50%
AJs against K9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 62.715 | 0.502 | 36.783 | 62.966 |
| K9s | 36.783 | 0.502 | 62.715 | 37.034 |
AJs meets K9s, and both are suited hands. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
AJs is ahead, but K9s is far from dead: it takes 368 of every 1,000 deals outright. Ties are 0.50% of the outcomes here; each tied board gives both hands half the pot.
Among the 169 starting hands, AJs is number 11 and K9s is number 29 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 17,182,000 | 138,000 | 10,077,000 |
| K9s | 10,077,000 | 138,000 | 17,182,000 |
Exact total: 16 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AJs | 1.700 | 1.595 | 2.719 | 0.588 |
| K9s | 0.588 | 2.719 | 1.595 | 1.700 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Break the boards down by their first three cards and AJs is strongest on paired flops (65.66%) and weakest on low rainbow flops (nine high or lower) (58.48%). AJs stays ahead on all five textures.
| Flop | Share of flops | AJs wins | Ties | K9s wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 64.639 | 0.121 | 35.240 | 64.700 |
| Rainbow, nine or lower | 7.042 | 58.018 | 0.916 | 41.066 | 58.476 |
| Two-tone | 46.727 | 62.020 | 0.266 | 37.714 | 62.153 |
| Monotone | 5.273 | 57.887 | 3.411 | 38.702 | 59.593 |
| Paired | 17.091 | 65.350 | 0.612 | 34.038 | 65.656 |
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
How much does the opponent matter? Compared with its random-hand 65.39%, AJs changes by -2.42 points, and K9s, from 59.99%, by -22.96.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 62.966 | 65.393 | -2.427 | 0.96289 |
| AJs, rainbow, ten or higher | 64.700 | 65.393 | -0.693 | 0.98940 |
| AJs, rainbow, nine or lower | 58.476 | 65.393 | -6.917 | 0.89422 |
| AJs, two-tone | 62.153 | 65.393 | -3.240 | 0.95045 |
| AJs, monotone | 59.593 | 65.393 | -5.800 | 0.91131 |
| AJs, paired | 65.656 | 65.393 | +0.263 | 1.00402 |
| K9s, all flops | 37.034 | 59.988 | -22.954 | 0.61736 |
| K9s, rainbow, ten or higher | 35.300 | 59.988 | -24.688 | 0.58845 |
| K9s, rainbow, nine or lower | 41.524 | 59.988 | -18.464 | 0.69221 |
| K9s, two-tone | 37.847 | 59.988 | -22.141 | 0.63091 |
| K9s, monotone | 40.407 | 59.988 | -19.581 | 0.67358 |
| K9s, paired | 34.344 | 59.988 | -25.644 | 0.57251 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common AJs has 65.42% equity, and with none in common it has 62.15%. AJs does better with a shared suit, by 3.27 points.
| Deals | Specific deals | Share of deals | AJs wins | Ties | K9s wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.125 | 0.580 | 34.295 | 65.415 |
| No shared suit | 12 | 75.00 | 61.911 | 0.476 | 37.613 | 62.149 |
How often this matchup comes up
Counting specific cards, AJs against K9s appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).
A worked example
Take a $200 pot built from $100 each. AJs' equity of 62.97% is worth $125.94, a $25.94 edge, and K9s' 37.03% is worth $74.06, which is $25.94 under its stake.
A thousand deals look like this: AJs takes 627, K9s takes 368, 5 are ties.
The same matchup from the other side
If you came looking for K9s against AJs, the numbers are the same with the hands swapped: 37.03% and 62.97%.
Keep exploring
Try AsJs against Kh9h 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
This is an exact count with no sampling. For the 16 ways to deal one AJs and one K9s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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