ATs
66.24%
Wins 66.02%, ties 0.45%
K9o
33.76%
Wins 33.53%, ties 0.45%
ATs against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATs | 66.017 | 0.450 | 33.533 | 66.242 |
| K9o | 33.533 | 0.450 | 66.017 | 33.758 |
ATs and K9o are a suited hand and an offsuit hand, in that order. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
ATs is the clear favorite, though K9o gets there on roughly one board in 3. A split pot comes up on 0.45% of boards, so the wins and the equity differ by half of that.
In the ranking of all 169 starting hands, ATs is number 13 and K9o is number 40.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATs | 54,260,000 | 370,000 | 27,561,000 |
| K9o | 27,561,000 | 370,000 | 54,260,000 |
The total is exact: 48 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) |
|---|---|---|---|---|
| ATs | 1.962 | 1.515 | 2.982 | 0.510 |
| K9o | 0.510 | 2.982 | 1.515 | 1.962 |
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
Across the five flop textures ATs' equity moves by 7.10 points, from 61.66% on low rainbow flops (nine high or lower) to 68.76% on paired flops. ATs stays ahead on all five textures.
| Flop | Share of flops | ATs wins | Ties | K9o wins | ATs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 66.369 | 0.154 | 33.477 | 66.446 |
| Rainbow, nine or lower | 7.042 | 61.265 | 0.792 | 37.943 | 61.661 |
| Two-tone | 46.667 | 66.276 | 0.276 | 33.448 | 66.414 |
| Monotone | 5.212 | 60.501 | 2.373 | 37.126 | 61.687 |
| Paired | 17.091 | 68.454 | 0.616 | 30.930 | 68.762 |
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
Start from the random-hand figures, 64.60% for ATs and 57.81% for K9o. This opponent changes them by +1.64 and -24.05 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATs, all flops | 66.242 | 64.602 | +1.640 | 1.02539 |
| ATs, rainbow, ten or higher | 66.446 | 64.602 | +1.844 | 1.02854 |
| ATs, rainbow, nine or lower | 61.661 | 64.602 | -2.941 | 0.95448 |
| ATs, two-tone | 66.414 | 64.602 | +1.812 | 1.02805 |
| ATs, monotone | 61.687 | 64.602 | -2.915 | 0.95488 |
| ATs, paired | 68.762 | 64.602 | +4.160 | 1.06439 |
| K9o, all flops | 33.758 | 57.812 | -24.054 | 0.58393 |
| K9o, rainbow, ten or higher | 33.554 | 57.812 | -24.258 | 0.58040 |
| K9o, rainbow, nine or lower | 38.339 | 57.812 | -19.473 | 0.66317 |
| K9o, two-tone | 33.586 | 57.812 | -24.226 | 0.58095 |
| K9o, monotone | 38.313 | 57.812 | -19.499 | 0.66272 |
| K9o, paired | 31.238 | 57.812 | -26.574 | 0.54034 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and ATs holds 66.02%. In 24 they do not, and it holds 66.46%. ATs does better with no shared suit, by 0.44 points.
| Deals | Specific deals | Share of deals | ATs wins | Ties | K9o wins | ATs equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 65.775 | 0.491 | 33.734 | 66.021 |
| No shared suit | 24 | 50.00 | 66.258 | 0.410 | 33.332 | 66.463 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are ATs in one seat and K9o in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says ATs gets $132.48 of it on average and K9o gets $67.52.
Per 1,000 deals: ATs wins about 660, K9o wins about 335, and about 5 end in a split pot.
The same matchup from the other side
The reversed view, K9o against ATs, shows 33.76% for K9o and 66.24% for ATs. It is the same count, so it redirects here.
Keep exploring
Try AsTs against Kh9d 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
This is an exact count with no sampling. For the 48 ways to deal one ATs and one K9o 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.
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