A6s
61.09%
Wins 60.88%, ties 0.44%
K9o
38.91%
Wins 38.68%, ties 0.44%
A6s against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A6s | 60.876 | 0.437 | 38.687 | 61.094 |
| K9o | 38.687 | 0.437 | 60.876 | 38.906 |
A6s and K9o are a suited hand and an offsuit hand, in that order. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 22.18 point lead is real, and K9o still takes about 387 of every 1,000 deals outright. The tie share is 0.44%: on those boards the pot is chopped and neither hand wins outright.
In the ranking of all 169 starting hands, A6s is number 31 and K9o is number 40.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A6s | 50,034,000 | 359,000 | 31,797,000 |
| K9o | 31,797,000 | 359,000 | 50,034,000 |
The board total is exact, 48 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A6s | 1.570 | 1.643 | 2.585 | 0.637 |
| K9o | 0.637 | 2.585 | 1.643 | 1.570 |
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
Break the boards down by their first three cards and A6s is strongest on paired flops (65.95%) and weakest on monotone flops (57.55%). A6s stays ahead on all five textures.
| Flop | Share of flops | A6s wins | Ties | K9o wins | A6s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.665 | 59.372 | 0.138 | 40.490 | 59.441 |
| Rainbow, nine or lower | 6.365 | 58.562 | 0.811 | 40.627 | 58.967 |
| Two-tone | 46.667 | 60.747 | 0.256 | 38.997 | 60.875 |
| Monotone | 5.212 | 56.367 | 2.362 | 41.271 | 57.548 |
| Paired | 17.091 | 65.638 | 0.632 | 33.730 | 65.954 |
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
Compared with a random opponent, this matchup shifts A6s from 59.91% by +1.18 points and K9o from 57.81% by -18.90 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A6s, all flops | 61.094 | 59.906 | +1.188 | 1.01983 |
| A6s, rainbow, ten or higher | 59.441 | 59.906 | -0.465 | 0.99224 |
| A6s, rainbow, nine or lower | 58.967 | 59.906 | -0.939 | 0.98433 |
| A6s, two-tone | 60.875 | 59.906 | +0.969 | 1.01618 |
| A6s, monotone | 57.548 | 59.906 | -2.358 | 0.96064 |
| A6s, paired | 65.954 | 59.906 | +6.048 | 1.10096 |
| K9o, all flops | 38.906 | 57.812 | -18.906 | 0.67297 |
| K9o, rainbow, ten or higher | 40.559 | 57.812 | -17.253 | 0.70157 |
| K9o, rainbow, nine or lower | 41.033 | 57.812 | -16.779 | 0.70977 |
| K9o, two-tone | 39.125 | 57.812 | -18.687 | 0.67676 |
| K9o, monotone | 42.452 | 57.812 | -15.360 | 0.73431 |
| K9o, paired | 34.046 | 57.812 | -23.766 | 0.58891 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common A6s has 60.77% equity, and with none in common it has 61.42%. A6s does better with no shared suit, by 0.65 points.
| Deals | Specific deals | Share of deals | A6s wins | Ties | K9o wins | A6s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.532 | 0.478 | 38.990 | 60.771 |
| No shared suit | 24 | 50.00 | 61.221 | 0.395 | 38.384 | 61.418 |
How often this matchup comes up
The class pair covers 48 combinations of specific cards in a fixed seat order, 0.0030% of 1,624,350, and 96 (0.0059%) in either order.
A worked example
Take a $200 pot built from $100 each. A6s' equity of 61.09% is worth $122.18, a $22.18 edge, and K9o's 38.91% is worth $77.82, which is $22.18 under its stake.
Over a long run, 1,000 deals split into about 609 for A6s, 387 for K9o and 4 tied.
The same matchup from the other side
K9o against A6s adds nothing new: it is 38.91% for K9o and 61.09% for A6s, the same figures reversed.
Keep exploring
As6s against Kh9d 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
Method: exact enumeration. The 48 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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