A7s
61.45%
Wins 61.24%, ties 0.43%
K9o
38.55%
Wins 38.33%, ties 0.43%
A7s against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 61.235 | 0.428 | 38.337 | 61.449 |
| K9o | 38.337 | 0.428 | 61.235 | 38.551 |
One side is a suited hand, the other 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. Ties are part of the picture: 0.43% of boards end in a split pot, and each side counts that as half a win.
In the ranking of all 169 starting hands, A7s is number 24 and K9o is number 40.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 50,329,000 | 352,000 | 31,509,000 |
| K9o | 31,509,000 | 352,000 | 50,329,000 |
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) |
|---|---|---|---|---|
| A7s | 1.594 | 1.633 | 2.608 | 0.627 |
| K9o | 0.627 | 2.608 | 1.633 | 1.594 |
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
Split by what the flop looks like, A7s peaks at 66.09% on paired flops and bottoms out at 57.80% on monotone flops. A7s stays ahead on all five textures.
| Flop | Share of flops | A7s wins | Ties | K9o wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.665 | 59.855 | 0.164 | 39.981 | 59.937 |
| Rainbow, nine or lower | 6.365 | 58.873 | 0.652 | 40.475 | 59.199 |
| Two-tone | 46.667 | 61.138 | 0.247 | 38.615 | 61.261 |
| Monotone | 5.212 | 56.625 | 2.358 | 41.017 | 57.804 |
| Paired | 17.091 | 65.779 | 0.628 | 33.593 | 66.093 |
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
The table below sets each hand against its own random-hand baseline: a change of +0.47 points for A7s, from 60.98%, and -19.26 for K9o, from 57.81%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 61.449 | 60.984 | +0.465 | 1.00762 |
| A7s, rainbow, ten or higher | 59.937 | 60.984 | -1.047 | 0.98283 |
| A7s, rainbow, nine or lower | 59.199 | 60.984 | -1.785 | 0.97073 |
| A7s, two-tone | 61.261 | 60.984 | +0.277 | 1.00454 |
| A7s, monotone | 57.804 | 60.984 | -3.180 | 0.94786 |
| A7s, paired | 66.093 | 60.984 | +5.109 | 1.08378 |
| K9o, all flops | 38.551 | 57.812 | -19.261 | 0.66683 |
| K9o, rainbow, ten or higher | 40.063 | 57.812 | -17.749 | 0.69299 |
| K9o, rainbow, nine or lower | 40.801 | 57.812 | -17.011 | 0.70575 |
| K9o, two-tone | 38.739 | 57.812 | -19.073 | 0.67009 |
| K9o, monotone | 42.196 | 57.812 | -15.616 | 0.72988 |
| K9o, paired | 33.907 | 57.812 | -23.905 | 0.58650 |
Does a shared suit matter?
Does suit overlap move the numbers? A7s has 61.13% when the hands share a suit and 61.76% when they do not. A7s does better with no shared suit, by 0.63 points.
| Deals | Specific deals | Share of deals | A7s wins | Ties | K9o wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.900 | 0.468 | 38.632 | 61.134 |
| No shared suit | 24 | 50.00 | 61.571 | 0.387 | 38.042 | 61.764 |
How often this matchup comes up
You will meet this exact matchup 0.0059% of the time in a random heads-up deal: 96 of 1,624,350, counting either seat order.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says A7s gets $122.90 of it on average and K9o gets $77.10.
In 1,000 deals of exactly this matchup, expect about 612 won outright by A7s, about 384 won outright by K9o and about 4 split.
The same matchup from the other side
The reversed view, K9o against A7s, shows 38.55% for K9o and 61.45% for A7s. It is the same count, so it redirects here.
Keep exploring
As7s 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of A7s against K9o, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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