A9s
71.10%
Wins 70.12%, ties 1.97%
K9s
28.90%
Wins 27.91%, ties 1.97%
A9s against K9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9s | 70.119 | 1.971 | 27.910 | 71.104 |
| K9s | 27.910 | 1.971 | 70.119 | 28.896 |
A9s meets K9s, and both are suited hands. 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.
That is a clear edge, 71.10% to 28.90%, but K9s still wins often enough that one hand proves nothing. Of every 100 boards, about 1.97 are split pots, and the equity figures already include them.
Place 18 of 169 belongs to A9s and place 29 belongs to K9s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9s | 14,408,000 | 405,000 | 5,735,000 |
| K9s | 5,735,000 | 405,000 | 14,408,000 |
The total is exact: 12 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| A9s | 2.461 | 1.426 | 3.583 | 0.406 |
| K9s | 0.406 | 3.583 | 1.426 | 2.461 |
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
Break the boards down by their first three cards and A9s is strongest on low rainbow flops (nine high or lower) (83.50%) and weakest on monotone flops (64.02%). A9s 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 | A9s wins | Ties | K9s wins | A9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.024 | 1.446 | 29.530 | 69.747 |
| Rainbow, nine or lower | 6.314 | 81.557 | 3.889 | 14.554 | 83.502 |
| Two-tone | 46.543 | 68.888 | 1.654 | 29.458 | 69.715 |
| Monotone | 5.215 | 62.016 | 4.009 | 33.975 | 64.020 |
| Paired | 17.333 | 73.251 | 2.253 | 24.496 | 74.377 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of +8.32 points for A9s, from 62.78%, and -31.09 for K9s, from 59.99%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9s, all flops | 71.104 | 62.781 | +8.323 | 1.13257 |
| A9s, rainbow, ten or higher | 69.747 | 62.781 | +6.966 | 1.11096 |
| A9s, rainbow, nine or lower | 83.502 | 62.781 | +20.721 | 1.33005 |
| A9s, two-tone | 69.715 | 62.781 | +6.934 | 1.11045 |
| A9s, monotone | 64.020 | 62.781 | +1.239 | 1.01974 |
| A9s, paired | 74.377 | 62.781 | +11.596 | 1.18471 |
| K9s, all flops | 28.896 | 59.988 | -31.092 | 0.48170 |
| K9s, rainbow, ten or higher | 30.253 | 59.988 | -29.735 | 0.50432 |
| K9s, rainbow, nine or lower | 16.498 | 59.988 | -43.490 | 0.27502 |
| K9s, two-tone | 30.285 | 59.988 | -29.703 | 0.50485 |
| K9s, monotone | 35.980 | 59.988 | -24.008 | 0.59979 |
| K9s, paired | 25.623 | 59.988 | -34.365 | 0.42714 |
Does a shared suit matter?
Every legal deal of A9s against K9s leaves the hands with no suit in common, so the suit split does not apply here.
| Deals | Specific deals | Share of deals | A9s wins | Ties | K9s wins | A9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 70.119 | 1.971 | 27.910 | 71.104 |
How often this matchup comes up
This page stands for 12 specific-card matchups (0.0007% of 1,624,350 ordered deals), or 24 once you count the seats both ways (0.0015%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average A9s takes back $142.20 of it, which is $42.20 more than it put in, and K9s takes back $57.80, $42.20 less than it put in.
Scaled to 1,000 deals, that is roughly 701 wins for A9s, 279 for K9s and 20 chopped pots.
The same matchup from the other side
The reversed view, K9s against A9s, shows 28.90% for K9s and 71.10% for A9s. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in As9s against Kh9h, 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
Method: exact enumeration. The 12 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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