K9s
41.99%
Wins 41.72%, ties 0.54%
A2s
58.01%
Wins 57.74%, ties 0.54%
K9s against A2s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9s | 41.719 | 0.542 | 57.739 | 41.990 |
| A2s | 57.739 | 0.542 | 41.719 | 58.010 |
Here suited hands face each other, K9s on one side and A2s on the other. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 16.02 point lead is real, and K9s still takes about 417 of every 1,000 deals outright. Ties are part of the picture: 0.54% of boards end in a split pot, and each side counts that as half a win.
K9s ranks number 29 of 169 starting hands, and A2s ranks number 46, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9s | 11,430,000 | 148,000 | 15,819,000 |
| A2s | 15,819,000 | 148,000 | 11,430,000 |
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 | 0.724 | 2.397 | 1.732 | 1.382 |
| A2s | 1.382 | 1.732 | 2.397 | 0.724 |
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
Split by what the flop looks like, A2s peaks at 62.95% on paired flops and bottoms out at 55.35% on monotone flops. A2s stays ahead on all five textures.
| Flop | Share of flops | K9s wins | Ties | A2s wins | K9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.543 | 42.127 | 0.173 | 57.700 | 42.213 |
| Rainbow, nine or lower | 6.366 | 43.368 | 1.015 | 55.617 | 43.875 |
| Two-tone | 46.727 | 42.970 | 0.306 | 56.724 | 43.123 |
| Monotone | 5.273 | 42.926 | 3.445 | 53.629 | 44.649 |
| Paired | 17.091 | 36.725 | 0.649 | 62.626 | 37.050 |
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, K9s changes by -18.00 points (baseline 59.99%) and A2s by +0.63 points (baseline 57.38%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9s, all flops | 41.990 | 59.988 | -17.998 | 0.69997 |
| K9s, rainbow, ten or higher | 42.213 | 59.988 | -17.775 | 0.70369 |
| K9s, rainbow, nine or lower | 43.875 | 59.988 | -16.113 | 0.73140 |
| K9s, two-tone | 43.123 | 59.988 | -16.865 | 0.71886 |
| K9s, monotone | 44.649 | 59.988 | -15.339 | 0.74430 |
| K9s, paired | 37.050 | 59.988 | -22.938 | 0.61762 |
| A2s, all flops | 58.010 | 57.379 | +0.631 | 1.01100 |
| A2s, rainbow, ten or higher | 57.787 | 57.379 | +0.408 | 1.00711 |
| A2s, rainbow, nine or lower | 56.125 | 57.379 | -1.254 | 0.97815 |
| A2s, two-tone | 56.877 | 57.379 | -0.502 | 0.99125 |
| A2s, monotone | 55.351 | 57.379 | -2.028 | 0.96466 |
| A2s, paired | 62.950 | 57.379 | +5.571 | 1.09709 |
Does a shared suit matter?
Two kinds of deal exist here. In 4 of them the hands share a suit and A2s holds 60.00%. In 12 they do not, and it holds 57.35%. A2s does better with a shared suit, by 2.65 points.
| Deals | Specific deals | Share of deals | K9s wins | Ties | A2s wins | K9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 39.690 | 0.625 | 59.685 | 40.003 |
| No shared suit | 12 | 75.00 | 42.395 | 0.515 | 57.090 | 42.653 |
How often this matchup comes up
Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.
A worked example
With $100 from each side, the $200 pot is split on average as $116.02 for A2s and $83.98 for K9s; the first side gains $16.02 per all-in and the second gives up $16.02.
Think in thousands: about 577 of 1,000 go to A2s, about 417 go to K9s, and about 6 are chopped.
The same matchup from the other side
The mirror image, A2s against K9s, is 58.01% to 41.99%, and its address redirects to this page.
Keep exploring
Try Ks9s against Ah2h 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
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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