ATs
63.28%
Wins 63.03%, ties 0.49%
K9s
36.72%
Wins 36.48%, ties 0.49%
ATs against K9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 63.033 | 0.494 | 36.473 | 63.280 |
| K9s | 36.473 | 0.494 | 63.033 | 36.720 |
Here suited hands face each other, ATs on one side and K9s on the other. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. A split pot comes up on 0.49% of boards, so the wins and the equity differ by half of that.
Among the 169 starting hands, ATs is number 13 and K9s is number 29 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 17,269,000 | 135,000 | 9,992,000 |
| K9s | 9,992,000 | 135,000 | 17,269,000 |
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) |
|---|---|---|---|---|
| ATs | 1.723 | 1.586 | 2.742 | 0.580 |
| K9s | 0.580 | 2.742 | 1.586 | 1.723 |
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
If you know the kind of flop that came, the numbers shift: ATs holds 65.79% on paired flops and 59.71% on low rainbow flops (nine high or lower). ATs stays ahead on all five textures.
| Flop | Share of flops | ATs wins | Ties | K9s wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 64.772 | 0.151 | 35.077 | 64.847 |
| Rainbow, nine or lower | 7.042 | 59.328 | 0.762 | 39.910 | 59.709 |
| Two-tone | 46.727 | 62.362 | 0.256 | 37.382 | 62.490 |
| Monotone | 5.273 | 58.122 | 3.406 | 38.472 | 59.825 |
| Paired | 17.091 | 65.480 | 0.616 | 33.904 | 65.788 |
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
How much does the opponent matter? Compared with its random-hand 64.60%, ATs changes by -1.32 points, and K9s, from 59.99%, by -23.27.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 63.280 | 64.602 | -1.322 | 0.97954 |
| ATs, rainbow, ten or higher | 64.847 | 64.602 | +0.245 | 1.00379 |
| ATs, rainbow, nine or lower | 59.709 | 64.602 | -4.893 | 0.92426 |
| ATs, two-tone | 62.490 | 64.602 | -2.112 | 0.96731 |
| ATs, monotone | 59.825 | 64.602 | -4.777 | 0.92605 |
| ATs, paired | 65.788 | 64.602 | +1.186 | 1.01836 |
| K9s, all flops | 36.720 | 59.988 | -23.268 | 0.61212 |
| K9s, rainbow, ten or higher | 35.153 | 59.988 | -24.835 | 0.58600 |
| K9s, rainbow, nine or lower | 40.291 | 59.988 | -19.697 | 0.67165 |
| K9s, two-tone | 37.510 | 59.988 | -22.478 | 0.62529 |
| K9s, monotone | 40.175 | 59.988 | -19.813 | 0.66972 |
| K9s, paired | 34.212 | 59.988 | -25.776 | 0.57031 |
Does a shared suit matter?
The suit split reads 65.76% for ATs with a shared suit and 62.45% without one. ATs does better with a shared suit, by 3.31 points.
| Deals | Specific deals | Share of deals | ATs wins | Ties | K9s wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.475 | 0.571 | 33.954 | 65.760 |
| No shared suit | 12 | 75.00 | 62.219 | 0.469 | 37.312 | 62.453 |
How often this matchup comes up
The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. ATs averages $126.56 from the $200, up $26.56; K9s averages $73.44, down $26.56.
Think in thousands: about 630 of 1,000 go to ATs, about 365 go to K9s, and about 5 are chopped.
The same matchup from the other side
The reversed view, K9s against ATs, shows 36.72% for K9s and 63.28% for ATs. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in AsTs 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
This is an exact count with no sampling. For the 16 ways to deal one ATs and one K9s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session