A9s
66.53%
Wins 59.50%, ties 14.05%
A7s
33.47%
Wins 26.45%, ties 14.05%
A9s against A7s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9s | 59.501 | 14.048 | 26.451 | 66.525 |
| A7s | 26.451 | 14.048 | 59.501 | 33.475 |
This is a contest between two suited hands, A9s and A7s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
A lead of 33.06 points is large but not decisive: A7s still takes about 265 of every 1,000 deals. About 14.05% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
The hand ranking puts A9s at 18 and A7s at 24 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9s | 12,226,000 | 2,887,000 | 5,435,000 |
| A7s | 5,435,000 | 2,887,000 | 12,226,000 |
12 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| A9s | 1.987 | 1.681 | 3.781 | 0.503 |
| A7s | 0.503 | 3.781 | 1.681 | 1.987 |
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
If you know the kind of flop that came, the numbers shift: A9s holds 69.89% on rainbow flops topped by a ten or better and 61.88% on monotone flops. A9s stays ahead on all five textures.
| Flop | Share of flops | A9s wins | Ties | A7s wins | A9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.526 | 63.034 | 13.710 | 23.256 | 69.889 |
| Rainbow, nine or lower | 6.383 | 65.161 | 3.370 | 31.469 | 66.846 |
| Two-tone | 46.543 | 61.539 | 10.356 | 28.105 | 66.717 |
| Monotone | 5.215 | 56.698 | 10.354 | 32.948 | 61.875 |
| Paired | 17.333 | 47.789 | 29.485 | 22.726 | 62.532 |
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
How much does the opponent matter? Compared with its random-hand 62.78%, A9s changes by +3.75 points, and A7s, from 60.98%, by -27.51.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9s, all flops | 66.525 | 62.781 | +3.744 | 1.05964 |
| A9s, rainbow, ten or higher | 69.889 | 62.781 | +7.108 | 1.11322 |
| A9s, rainbow, nine or lower | 66.846 | 62.781 | +4.065 | 1.06475 |
| A9s, two-tone | 66.717 | 62.781 | +3.936 | 1.06269 |
| A9s, monotone | 61.875 | 62.781 | -0.906 | 0.98557 |
| A9s, paired | 62.532 | 62.781 | -0.249 | 0.99603 |
| A7s, all flops | 33.475 | 60.984 | -27.509 | 0.54891 |
| A7s, rainbow, ten or higher | 30.111 | 60.984 | -30.873 | 0.49375 |
| A7s, rainbow, nine or lower | 33.154 | 60.984 | -27.830 | 0.54365 |
| A7s, two-tone | 33.283 | 60.984 | -27.701 | 0.54577 |
| A7s, monotone | 38.125 | 60.984 | -22.859 | 0.62516 |
| A7s, paired | 37.468 | 60.984 | -23.516 | 0.61439 |
Does a shared suit matter?
Suits do not split this matchup, because no legal deal has the hands holding the same suit.
| Deals | Specific deals | Share of deals | A9s wins | Ties | A7s wins | A9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 59.501 | 14.048 | 26.451 | 66.525 |
How often this matchup comes up
The class pair covers 12 combinations of specific cards in a fixed seat order, 0.0007% of 1,624,350, and 24 (0.0015%) in either order.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. A9s averages $133.06 from the $200, up $33.06; A7s averages $66.94, down $33.06.
Out of 1,000 deals you should see around 595 outright wins for A9s, 265 for A7s, and 140 split pots.
The same matchup from the other side
The reversed view, A7s against A9s, shows 33.47% for A7s and 66.53% for A9s. It is the same count, so it redirects here.
Keep exploring
Open the calculator with As9s against Ah7h already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Nothing here is simulated. The 12 deals of A9s against A7s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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