A7s
58.60%
Wins 58.36%, ties 0.47%
K9s
41.40%
Wins 41.17%, ties 0.47%
A7s against K9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 58.361 | 0.474 | 41.165 | 58.598 |
| K9s | 41.165 | 0.474 | 58.361 | 41.402 |
Each side holds one of the suited hands: A7s and K9s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Of every 100 boards, about 0.47 are split pots, and the equity figures already include them.
Among the 169 starting hands, A7s is number 24 and K9s is number 29 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 15,989,000 | 130,000 | 11,278,000 |
| K9s | 11,278,000 | 130,000 | 15,989,000 |
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) |
|---|---|---|---|---|
| A7s | 1.415 | 1.713 | 2.429 | 0.707 |
| K9s | 0.707 | 2.429 | 1.713 | 1.415 |
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
A7s prefers paired flops, where it holds 63.17%, and likes monotone flops least, where it holds 55.76%. A7s stays ahead on all five textures.
| Flop | Share of flops | A7s wins | Ties | K9s wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.543 | 58.341 | 0.161 | 41.498 | 58.421 |
| Rainbow, nine or lower | 6.366 | 57.035 | 0.629 | 42.336 | 57.350 |
| Two-tone | 46.727 | 57.392 | 0.232 | 42.376 | 57.508 |
| Monotone | 5.273 | 54.063 | 3.396 | 42.541 | 55.761 |
| Paired | 17.091 | 62.856 | 0.628 | 36.516 | 63.170 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Relative to a random opponent, A7s changes by -2.38 points (baseline 60.98%) and K9s by -18.59 points (baseline 59.99%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 58.598 | 60.984 | -2.386 | 0.96087 |
| A7s, rainbow, ten or higher | 58.421 | 60.984 | -2.563 | 0.95797 |
| A7s, rainbow, nine or lower | 57.350 | 60.984 | -3.634 | 0.94041 |
| A7s, two-tone | 57.508 | 60.984 | -3.476 | 0.94300 |
| A7s, monotone | 55.761 | 60.984 | -5.223 | 0.91435 |
| A7s, paired | 63.170 | 60.984 | +2.186 | 1.03585 |
| K9s, all flops | 41.402 | 59.988 | -18.586 | 0.69017 |
| K9s, rainbow, ten or higher | 41.579 | 59.988 | -18.409 | 0.69312 |
| K9s, rainbow, nine or lower | 42.650 | 59.988 | -17.338 | 0.71098 |
| K9s, two-tone | 42.492 | 59.988 | -17.496 | 0.70834 |
| K9s, monotone | 44.239 | 59.988 | -15.749 | 0.73746 |
| K9s, paired | 36.830 | 59.988 | -23.158 | 0.61396 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (A7s at 60.64%) and 12 do not (57.92%). A7s does better with a shared suit, by 2.72 points.
| Deals | Specific deals | Share of deals | A7s wins | Ties | K9s wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 60.366 | 0.549 | 39.085 | 60.641 |
| No shared suit | 12 | 75.00 | 57.692 | 0.449 | 41.859 | 57.917 |
How often this matchup comes up
A7s against K9s is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average A7s takes back $117.20 of it, which is $17.20 more than it put in, and K9s takes back $82.80, $17.20 less than it put in.
In 1,000 deals of exactly this matchup, expect about 583 won outright by A7s, about 412 won outright by K9s and about 5 split.
The same matchup from the other side
One page covers both views. From K9s' side the equity is 41.40%, and from A7s' side it is 58.60%.
Keep exploring
As7s against Kh9h 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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