AKs
75.39%
Wins 73.14%, ties 4.50%
A9o
24.61%
Wins 22.36%, ties 4.50%
AKs against A9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKs | 73.136 | 4.500 | 22.364 | 75.386 |
| A9o | 22.364 | 4.500 | 73.136 | 24.614 |
We compare a suited hand with an offsuit hand. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
A lead of 50.78 points is large but not decisive: A9o still takes about 224 of every 1,000 deals. Ties are part of the picture: 4.50% of boards end in a split pot, and each side counts that as half a win.
Ranked by equity against a random hand, AKs is number 8 of the 169 starting hands and A9o is number 25.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKs | 45,083,000 | 2,774,000 | 13,786,000 |
| A9o | 13,786,000 | 2,774,000 | 45,083,000 |
36 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) |
|---|---|---|---|---|
| AKs | 3.063 | 1.367 | 4.471 | 0.327 |
| A9o | 0.327 | 4.471 | 1.367 | 3.063 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Break the boards down by their first three cards and AKs is strongest on rainbow flops topped by a ten or better (80.10%) and weakest on low rainbow flops (nine high or lower) (61.67%). AKs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | AKs wins | Ties | A9o wins | AKs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 78.875 | 2.447 | 18.678 | 80.098 |
| Rainbow, nine or lower | 7.042 | 59.436 | 4.459 | 36.105 | 61.666 |
| Two-tone | 46.527 | 74.627 | 2.730 | 22.643 | 75.992 |
| Monotone | 5.192 | 65.949 | 4.023 | 30.028 | 67.960 |
| Paired | 17.334 | 68.939 | 12.239 | 18.822 | 75.058 |
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
Start from the random-hand figures, 67.05% for AKs and 60.77% for A9o. This opponent changes them by +8.34 and -36.16 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKs, all flops | 75.386 | 67.045 | +8.341 | 1.12441 |
| AKs, rainbow, ten or higher | 80.098 | 67.045 | +13.053 | 1.19469 |
| AKs, rainbow, nine or lower | 61.666 | 67.045 | -5.379 | 0.91977 |
| AKs, two-tone | 75.992 | 67.045 | +8.947 | 1.13345 |
| AKs, monotone | 67.960 | 67.045 | +0.915 | 1.01365 |
| AKs, paired | 75.058 | 67.045 | +8.013 | 1.11952 |
| A9o, all flops | 24.614 | 60.773 | -36.159 | 0.40502 |
| A9o, rainbow, ten or higher | 19.902 | 60.773 | -40.871 | 0.32748 |
| A9o, rainbow, nine or lower | 38.334 | 60.773 | -22.439 | 0.63077 |
| A9o, two-tone | 24.008 | 60.773 | -36.765 | 0.39504 |
| A9o, monotone | 32.040 | 60.773 | -28.733 | 0.52721 |
| A9o, paired | 24.942 | 60.773 | -35.831 | 0.41041 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (AKs at 75.11%) and 24 do not (75.52%). AKs does better with no shared suit, by 0.41 points.
| Deals | Specific deals | Share of deals | AKs wins | Ties | A9o wins | AKs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 72.825 | 4.570 | 22.605 | 75.110 |
| No shared suit | 24 | 66.67 | 73.292 | 4.464 | 22.244 | 75.524 |
How often this matchup comes up
The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.
A worked example
Take a $200 pot built from $100 each. AKs' equity of 75.39% is worth $150.78, a $50.78 edge, and A9o's 24.61% is worth $49.22, which is $50.78 under its stake.
Out of 1,000 deals you should see around 731 outright wins for AKs, 224 for A9o, and 45 split pots.
The same matchup from the other side
A9o against AKs adds nothing new: it is 24.61% for A9o and 75.39% for AKs, the same figures reversed.
Keep exploring
Try AsKs against Ah9d 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 36 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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