A9s
75.29%
Wins 74.27%, ties 2.05%
K9o
24.71%
Wins 23.68%, ties 2.05%
A9s against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9s | 74.265 | 2.048 | 23.687 | 75.289 |
| K9o | 23.687 | 2.048 | 74.265 | 24.711 |
A9s and K9o are a suited hand and an offsuit hand, in that order. 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.
A9s is well ahead, and K9o needs a specific kind of board to catch up. Ties are part of the picture: 2.05% of boards end in a split pot, and each side counts that as half a win.
For context, A9s sits at number 18 of 169 starting hands and K9o at number 40 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9s | 45,779,000 | 1,262,000 | 14,601,000 |
| K9o | 14,601,000 | 1,262,000 | 45,779,000 |
The total is exact: 36 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 | 3.047 | 1.347 | 4.222 | 0.328 |
| K9o | 0.328 | 4.222 | 1.347 | 3.047 |
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
Break the boards down by their first three cards and A9s is strongest on low rainbow flops (nine high or lower) (86.52%) and weakest on monotone flops (67.43%). 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 | K9o wins | A9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.634 | 71.222 | 1.509 | 27.269 | 71.976 |
| Rainbow, nine or lower | 6.314 | 84.487 | 4.064 | 11.449 | 86.519 |
| Two-tone | 46.527 | 74.227 | 1.841 | 23.932 | 75.147 |
| Monotone | 5.192 | 65.825 | 3.213 | 30.962 | 67.432 |
| Paired | 17.333 | 77.494 | 2.287 | 20.219 | 78.637 |
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
Compared with a random opponent, this matchup shifts A9s from 62.78% by +12.51 points and K9o from 57.81% by -33.10 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9s, all flops | 75.289 | 62.781 | +12.508 | 1.19923 |
| A9s, rainbow, ten or higher | 71.976 | 62.781 | +9.195 | 1.14646 |
| A9s, rainbow, nine or lower | 86.519 | 62.781 | +23.738 | 1.37811 |
| A9s, two-tone | 75.147 | 62.781 | +12.366 | 1.19697 |
| A9s, monotone | 67.432 | 62.781 | +4.651 | 1.07408 |
| A9s, paired | 78.637 | 62.781 | +15.856 | 1.25256 |
| K9o, all flops | 24.711 | 57.812 | -33.101 | 0.42744 |
| K9o, rainbow, ten or higher | 28.024 | 57.812 | -29.788 | 0.48474 |
| K9o, rainbow, nine or lower | 13.481 | 57.812 | -44.331 | 0.23319 |
| K9o, two-tone | 24.853 | 57.812 | -32.959 | 0.42989 |
| K9o, monotone | 32.568 | 57.812 | -25.244 | 0.56334 |
| K9o, paired | 21.363 | 57.812 | -36.449 | 0.36953 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (A9s at 75.00%) and 24 do not (75.43%). A9s does better with no shared suit, by 0.43 points.
| Deals | Specific deals | Share of deals | A9s wins | Ties | K9o wins | A9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 73.938 | 2.120 | 23.942 | 74.998 |
| No shared suit | 24 | 66.67 | 74.428 | 2.012 | 23.560 | 75.434 |
How often this matchup comes up
The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.
A worked example
Put $100 each into a $200 pot and deal every board once: A9s averages $150.58 back, ahead of its $100 by $50.58, while K9o averages $49.42, short of its $100 by $50.58.
Scaled to 1,000 deals, that is roughly 743 wins for A9s, 237 for K9o and 20 chopped pots.
The same matchup from the other side
K9o against A9s adds nothing new: it is 24.71% for K9o and 75.29% for A9s, the same figures reversed.
Keep exploring
Open the calculator with As9s against Kh9d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Nothing here is simulated. The 36 deals of A9s against K9o fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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