K9s
41.52%
Wins 41.26%, ties 0.52%
A5s
58.48%
Wins 58.22%, ties 0.52%
K9s against A5s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9s | 41.263 | 0.522 | 58.215 | 41.524 |
| A5s | 58.215 | 0.522 | 41.263 | 58.476 |
This is a contest between two suited hands, K9s and A5s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 16.96 point lead is real, and K9s still takes about 413 of every 1,000 deals outright. Ties are part of the picture: 0.52% of boards end in a split pot, and each side counts that as half a win.
In the ranking of all 169 starting hands, K9s is number 29 and A5s is number 30.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9s | 11,305,000 | 143,000 | 15,949,000 |
| A5s | 15,949,000 | 143,000 | 11,305,000 |
16 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) |
|---|---|---|---|---|
| K9s | 0.710 | 2.423 | 1.718 | 1.408 |
| A5s | 1.408 | 1.718 | 2.423 | 0.710 |
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
By flop texture, A5s' equity runs from 55.72% on monotone flops up to 63.09% on paired flops. A5s stays ahead on all five textures.
| Flop | Share of flops | K9s wins | Ties | A5s wins | K9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.543 | 41.913 | 0.172 | 57.915 | 41.999 |
| Rainbow, nine or lower | 6.366 | 41.378 | 0.880 | 57.742 | 41.818 |
| Two-tone | 46.727 | 42.468 | 0.285 | 57.247 | 42.611 |
| Monotone | 5.273 | 42.566 | 3.435 | 53.999 | 44.284 |
| Paired | 17.091 | 36.591 | 0.637 | 62.772 | 36.909 |
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
Compared with a random opponent, this matchup shifts K9s from 59.99% by -18.47 points and A5s from 59.92% by -1.44 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9s, all flops | 41.524 | 59.988 | -18.464 | 0.69221 |
| K9s, rainbow, ten or higher | 41.999 | 59.988 | -17.989 | 0.70012 |
| K9s, rainbow, nine or lower | 41.818 | 59.988 | -18.170 | 0.69711 |
| K9s, two-tone | 42.611 | 59.988 | -17.377 | 0.71033 |
| K9s, monotone | 44.284 | 59.988 | -15.704 | 0.73821 |
| K9s, paired | 36.909 | 59.988 | -23.079 | 0.61527 |
| A5s, all flops | 58.476 | 59.923 | -1.447 | 0.97585 |
| A5s, rainbow, ten or higher | 58.001 | 59.923 | -1.922 | 0.96793 |
| A5s, rainbow, nine or lower | 58.182 | 59.923 | -1.741 | 0.97095 |
| A5s, two-tone | 57.389 | 59.923 | -2.534 | 0.95771 |
| A5s, monotone | 55.716 | 59.923 | -4.207 | 0.92979 |
| A5s, paired | 63.091 | 59.923 | +3.168 | 1.05287 |
Does a shared suit matter?
When the hands share a suit, A5s holds 60.51%; when they do not, it holds 57.80%. A5s does better with a shared suit, by 2.71 points.
| Deals | Specific deals | Share of deals | K9s wins | Ties | A5s wins | K9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 39.189 | 0.603 | 60.208 | 39.491 |
| No shared suit | 12 | 75.00 | 41.954 | 0.495 | 57.551 | 42.202 |
How often this matchup comes up
Counting specific cards, K9s against A5s 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
Say each player puts $100 in before the flop, making a $200 pot. On average A5s takes back $116.96 of it, which is $16.96 more than it put in, and K9s takes back $83.04, $16.96 less than it put in.
A thousand deals look like this: A5s takes 582, K9s takes 413, 5 are ties.
The same matchup from the other side
The reversed view, A5s against K9s, shows 58.48% for A5s and 41.52% for K9s. It is the same count, so it redirects here.
Keep exploring
Ks9s against Ah5h 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
Method: exact enumeration. The 16 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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