K9o
39.16%
Wins 38.91%, ties 0.50%
A2s
60.84%
Wins 60.59%, ties 0.50%
K9o against A2s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| K9o | 38.908 | 0.499 | 60.593 | 39.157 |
| A2s | 60.593 | 0.499 | 38.908 | 60.843 |
K9o is an offsuit hand and A2s is a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A2s is ahead, but K9o is far from dead: it takes 389 of every 1,000 deals outright. A split pot comes up on 0.50% of boards, so the wins and the equity differ by half of that.
Among the 169 starting hands, K9o is number 40 and A2s is number 46 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| K9o | 31,979,000 | 410,000 | 49,802,000 |
| A2s | 49,802,000 | 410,000 | 31,979,000 |
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) |
|---|---|---|---|---|
| K9o | 0.644 | 2.570 | 1.650 | 1.554 |
| A2s | 1.554 | 1.650 | 2.570 | 0.644 |
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
Across the five flop textures A2s' equity moves by 8.48 points, from 57.39% on monotone flops to 65.87% on paired flops. A2s stays ahead on all five textures.
| Flop | Share of flops | K9o wins | Ties | A2s wins | K9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.665 | 40.620 | 0.176 | 59.204 | 40.708 |
| Rainbow, nine or lower | 6.365 | 41.537 | 1.050 | 57.413 | 42.062 |
| Two-tone | 46.667 | 39.234 | 0.325 | 60.441 | 39.397 |
| Monotone | 5.212 | 41.401 | 2.409 | 56.190 | 42.606 |
| Paired | 17.091 | 33.808 | 0.649 | 65.543 | 34.132 |
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
Each hand has a baseline against a random hand: 57.81% for K9o, 57.38% for A2s. Here the change is -18.65 and +3.46 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| K9o, all flops | 39.157 | 57.812 | -18.655 | 0.67732 |
| K9o, rainbow, ten or higher | 40.708 | 57.812 | -17.104 | 0.70414 |
| K9o, rainbow, nine or lower | 42.062 | 57.812 | -15.750 | 0.72757 |
| K9o, two-tone | 39.397 | 57.812 | -18.415 | 0.68147 |
| K9o, monotone | 42.606 | 57.812 | -15.206 | 0.73698 |
| K9o, paired | 34.132 | 57.812 | -23.680 | 0.59040 |
| A2s, all flops | 60.843 | 57.379 | +3.464 | 1.06037 |
| A2s, rainbow, ten or higher | 59.292 | 57.379 | +1.913 | 1.03334 |
| A2s, rainbow, nine or lower | 57.938 | 57.379 | +0.559 | 1.00974 |
| A2s, two-tone | 60.603 | 57.379 | +3.224 | 1.05619 |
| A2s, monotone | 57.394 | 57.379 | +0.015 | 1.00026 |
| A2s, paired | 65.868 | 57.379 | +8.489 | 1.14795 |
Does a shared suit matter?
When the hands share a suit, A2s holds 60.51%; when they do not, it holds 61.17%. A2s does better with no shared suit, by 0.66 points.
| Deals | Specific deals | Share of deals | K9o wins | Ties | A2s wins | K9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 39.215 | 0.541 | 60.244 | 39.486 |
| No shared suit | 24 | 50.00 | 38.601 | 0.456 | 60.943 | 38.829 |
How often this matchup comes up
Counting specific cards, K9o against A2s appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. A2s is worth $121.68 on average (+$21.68); K9o is worth $78.32 (-$21.68).
A thousand deals look like this: A2s takes 606, K9o takes 389, 5 are ties.
The same matchup from the other side
One page covers both views. From A2s' side the equity is 60.84%, and from K9o's side it is 39.16%.
Keep exploring
Ks9h against Ad2d 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
This is an exact count with no sampling. For the 48 ways to deal one K9o and one A2s 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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