AJs
70.06%
Wins 66.51%, ties 7.11%
A9s
29.94%
Wins 26.38%, ties 7.11%
AJs against A9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 66.506 | 7.113 | 26.381 | 70.063 |
| A9s | 26.381 | 7.113 | 66.506 | 29.937 |
The matchup is suited hands on both sides, AJs against A9s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
That is a clear edge, 70.06% to 29.94%, but A9s still wins often enough that one hand proves nothing. Ties are part of the picture: 7.11% of boards end in a split pot, and each side counts that as half a win.
Place 11 of 169 belongs to AJs and place 18 belongs to A9s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 13,665,000 | 1,462,000 | 5,421,000 |
| A9s | 5,421,000 | 1,462,000 | 13,665,000 |
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) |
|---|---|---|---|---|
| AJs | 2.340 | 1.504 | 3.791 | 0.427 |
| A9s | 0.427 | 3.791 | 1.504 | 2.340 |
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 AJs is strongest on rainbow flops topped by a ten or better (76.36%) and weakest on low rainbow flops (nine high or lower) (60.19%). AJs 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 | AJs wins | Ties | A9s wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 73.665 | 5.387 | 20.948 | 76.358 |
| Rainbow, nine or lower | 7.042 | 58.088 | 4.198 | 37.714 | 60.187 |
| Two-tone | 46.543 | 67.396 | 4.638 | 27.966 | 69.715 |
| Monotone | 5.215 | 60.856 | 6.254 | 32.890 | 63.983 |
| Paired | 17.333 | 59.382 | 17.578 | 23.040 | 68.171 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts AJs from 65.39% by +4.67 points and A9s from 62.78% by -32.84 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 70.063 | 65.393 | +4.670 | 1.07141 |
| AJs, rainbow, ten or higher | 76.358 | 65.393 | +10.965 | 1.16768 |
| AJs, rainbow, nine or lower | 60.187 | 65.393 | -5.206 | 0.92039 |
| AJs, two-tone | 69.715 | 65.393 | +4.322 | 1.06609 |
| AJs, monotone | 63.983 | 65.393 | -1.410 | 0.97844 |
| AJs, paired | 68.171 | 65.393 | +2.778 | 1.04248 |
| A9s, all flops | 29.937 | 62.781 | -32.844 | 0.47685 |
| A9s, rainbow, ten or higher | 23.642 | 62.781 | -39.139 | 0.37658 |
| A9s, rainbow, nine or lower | 39.813 | 62.781 | -22.968 | 0.63416 |
| A9s, two-tone | 30.285 | 62.781 | -32.496 | 0.48239 |
| A9s, monotone | 36.017 | 62.781 | -26.764 | 0.57369 |
| A9s, paired | 31.829 | 62.781 | -30.952 | 0.50698 |
Does a shared suit matter?
These two classes cannot share a suit in any legal deal, so there is only one row to read: AJs holds 70.06% in every deal of this matchup.
| Deals | Specific deals | Share of deals | AJs wins | Ties | A9s wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 66.506 | 7.113 | 26.381 | 70.063 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 12 are AJs in one seat and A9s in the other (0.0007%); with the seats swapped too, 24 (0.0015%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. AJs is worth $140.12 on average (+$40.12); A9s is worth $59.88 (-$40.12).
Run 1,000 deals and the tally comes out near 665 for AJs, 264 for A9s and 71 ties.
The same matchup from the other side
The mirror image, A9s against AJs, is 29.94% to 70.06%, and its address redirects to this page.
Keep exploring
Try AsJs against Ah9h 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 12 specific deals of AJs against A9s, 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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