A9o
64.46%
Wins 56.87%, ties 15.17%
A2s
35.54%
Wins 27.96%, ties 15.17%
A9o against A2s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9o | 56.874 | 15.174 | 27.952 | 64.461 |
| A2s | 27.952 | 15.174 | 56.874 | 35.539 |
A9o and A2s are an offsuit hand and a suited hand, in that order. 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 28.92 point lead is real, and A2s still takes about 279 of every 1,000 deals outright. A split pot comes up on 15.17% of boards, so the wins and the equity differ by half of that.
A9o ranks number 25 of 169 starting hands, and A2s ranks number 46, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9o | 35,059,000 | 9,354,000 | 17,230,000 |
| A2s | 17,230,000 | 9,354,000 | 35,059,000 |
Exact total: 36 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A9o | 1.814 | 1.758 | 3.578 | 0.551 |
| A2s | 0.551 | 3.578 | 1.758 | 1.814 |
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
Rainbow flops topped by a ten or better are the best for A9o (68.27%); paired flops are the worst (60.94%). A9o stays ahead on all five textures.
| Flop | Share of flops | A9o wins | Ties | A2s wins | A9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.588 | 61.128 | 14.278 | 24.594 | 68.267 |
| Rainbow, nine or lower | 6.360 | 62.967 | 3.718 | 33.315 | 64.826 |
| Two-tone | 46.527 | 58.397 | 11.387 | 30.216 | 64.091 |
| Monotone | 5.192 | 55.684 | 10.771 | 33.545 | 61.070 |
| Paired | 17.333 | 44.869 | 32.136 | 22.995 | 60.937 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Against one random hand instead, A9o holds 60.77% and A2s holds 57.38%. Facing each other changes that by +3.69 points for A9o and -21.84 points for A2s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9o, all flops | 64.461 | 60.773 | +3.688 | 1.06068 |
| A9o, rainbow, ten or higher | 68.267 | 60.773 | +7.494 | 1.12331 |
| A9o, rainbow, nine or lower | 64.826 | 60.773 | +4.053 | 1.06669 |
| A9o, two-tone | 64.091 | 60.773 | +3.318 | 1.05460 |
| A9o, monotone | 61.070 | 60.773 | +0.297 | 1.00489 |
| A9o, paired | 60.937 | 60.773 | +0.164 | 1.00270 |
| A2s, all flops | 35.539 | 57.379 | -21.840 | 0.61937 |
| A2s, rainbow, ten or higher | 31.733 | 57.379 | -25.646 | 0.55304 |
| A2s, rainbow, nine or lower | 35.174 | 57.379 | -22.205 | 0.61301 |
| A2s, two-tone | 35.909 | 57.379 | -21.470 | 0.62582 |
| A2s, monotone | 38.930 | 57.379 | -18.449 | 0.67847 |
| A2s, paired | 39.063 | 57.379 | -18.316 | 0.68079 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (A9o at 65.26%) and 24 do not (64.06%). A9o does better with a shared suit, by 1.20 points.
| Deals | Specific deals | Share of deals | A9o wins | Ties | A2s wins | A9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 57.588 | 15.334 | 27.078 | 65.255 |
| No shared suit | 24 | 66.67 | 56.517 | 15.094 | 28.389 | 64.064 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 36 are A9o in one seat and A2s in the other (0.0022%); with the seats swapped too, 72 (0.0044%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average A9o takes back $128.92 of it, which is $28.92 more than it put in, and A2s takes back $71.08, $28.92 less than it put in.
Per 1,000 deals: A9o wins about 569, A2s wins about 279, and about 152 end in a split pot.
The same matchup from the other side
If you came looking for A2s against A9o, the numbers are the same with the hands swapped: 35.54% and 64.46%.
Keep exploring
Open the calculator with As9h against Ad2d 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
Method: exact enumeration. The 36 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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