A8s
61.37%
Wins 61.15%, ties 0.44%
K9o
38.63%
Wins 38.41%, ties 0.44%
A8s against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A8s | 61.147 | 0.438 | 38.415 | 61.366 |
| K9o | 38.415 | 0.438 | 61.147 | 38.634 |
The first hand is a suited hand; the second is an offsuit hand. 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. 0.44% of boards are ties, so the equity of each hand is its win rate plus half of that.
For context, A8s sits at number 21 of 169 starting hands and K9o at number 40 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A8s | 50,257,000 | 360,000 | 31,574,000 |
| K9o | 31,574,000 | 360,000 | 50,257,000 |
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) |
|---|---|---|---|---|
| A8s | 1.588 | 1.635 | 2.603 | 0.630 |
| K9o | 0.630 | 2.603 | 1.635 | 1.588 |
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
If you know the kind of flop that came, the numbers shift: A8s holds 66.10% on paired flops and 57.74% on monotone flops. A8s stays ahead on all five textures.
| Flop | Share of flops | A8s wins | Ties | K9o wins | A8s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.665 | 59.816 | 0.164 | 40.020 | 59.898 |
| Rainbow, nine or lower | 6.365 | 58.442 | 0.731 | 40.827 | 58.808 |
| Two-tone | 46.667 | 61.034 | 0.259 | 38.707 | 61.163 |
| Monotone | 5.212 | 56.561 | 2.363 | 41.076 | 57.743 |
| Paired | 17.091 | 65.783 | 0.624 | 33.593 | 66.095 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Start from the random-hand figures, 61.94% for A8s and 57.81% for K9o. This opponent changes them by -0.57 and -19.18 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A8s, all flops | 61.366 | 61.944 | -0.578 | 0.99067 |
| A8s, rainbow, ten or higher | 59.898 | 61.944 | -2.046 | 0.96697 |
| A8s, rainbow, nine or lower | 58.808 | 61.944 | -3.136 | 0.94937 |
| A8s, two-tone | 61.163 | 61.944 | -0.781 | 0.98739 |
| A8s, monotone | 57.743 | 61.944 | -4.201 | 0.93218 |
| A8s, paired | 66.095 | 61.944 | +4.151 | 1.06701 |
| K9o, all flops | 38.634 | 57.812 | -19.178 | 0.66827 |
| K9o, rainbow, ten or higher | 40.102 | 57.812 | -17.710 | 0.69366 |
| K9o, rainbow, nine or lower | 41.192 | 57.812 | -16.620 | 0.71252 |
| K9o, two-tone | 38.837 | 57.812 | -18.975 | 0.67178 |
| K9o, monotone | 42.257 | 57.812 | -15.555 | 0.73094 |
| K9o, paired | 33.905 | 57.812 | -23.907 | 0.58647 |
Does a shared suit matter?
Does suit overlap move the numbers? A8s has 61.05% when the hands share a suit and 61.68% when they do not. A8s does better with no shared suit, by 0.63 points.
| Deals | Specific deals | Share of deals | A8s wins | Ties | K9o wins | A8s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.810 | 0.478 | 38.712 | 61.049 |
| No shared suit | 24 | 50.00 | 61.484 | 0.397 | 38.119 | 61.682 |
How often this matchup comes up
A8s against K9o is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, A8s' average share is $122.74 (a gain of $22.74) and K9o's is $77.26 (a loss of $22.74).
In 1,000 deals of exactly this matchup, expect about 612 won outright by A8s, about 384 won outright by K9o and about 4 split.
The same matchup from the other side
The reversed view, K9o against A8s, shows 38.63% for K9o and 61.37% for A8s. It is the same count, so it redirects here.
Keep exploring
Try As8s 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
Each figure is a complete count over boards. Take the 48 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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