AJs
74.20%
Wins 70.46%, ties 7.47%
A9o
25.80%
Wins 22.07%, ties 7.47%
AJs against A9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 70.462 | 7.468 | 22.070 | 74.196 |
| A9o | 22.070 | 7.468 | 70.462 | 25.804 |
AJs and A9o are a suited hand and an offsuit hand, in that order. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
AJs is the clear favorite, though A9o gets there on roughly one board in 4. Ties are 7.47% of the outcomes here; each tied board gives both hands half the pot.
Place 11 of 169 belongs to AJs and place 25 belongs to A9o in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 43,435,000 | 4,603,000 | 13,605,000 |
| A9o | 13,605,000 | 4,603,000 | 43,435,000 |
The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AJs | 2.875 | 1.419 | 4.531 | 0.348 |
| A9o | 0.348 | 4.531 | 1.419 | 2.875 |
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
By flop texture, AJs' equity runs from 62.31% on low rainbow flops (nine high or lower) up to 78.87% on rainbow flops topped by a ten or better. 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 | A9o wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 76.099 | 5.532 | 18.369 | 78.865 |
| Rainbow, nine or lower | 7.042 | 60.127 | 4.363 | 35.510 | 62.308 |
| Two-tone | 46.527 | 72.682 | 4.990 | 22.328 | 75.177 |
| Monotone | 5.192 | 64.275 | 5.888 | 29.837 | 67.219 |
| Paired | 17.334 | 62.782 | 18.527 | 18.691 | 72.045 |
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, AJs holds 65.39% and A9o holds 60.77%. Facing each other changes that by +8.81 points for AJs and -34.97 points for A9o.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 74.196 | 65.393 | +8.803 | 1.13462 |
| AJs, rainbow, ten or higher | 78.865 | 65.393 | +13.472 | 1.20602 |
| AJs, rainbow, nine or lower | 62.308 | 65.393 | -3.085 | 0.95282 |
| AJs, two-tone | 75.177 | 65.393 | +9.784 | 1.14962 |
| AJs, monotone | 67.219 | 65.393 | +1.826 | 1.02792 |
| AJs, paired | 72.045 | 65.393 | +6.652 | 1.10172 |
| A9o, all flops | 25.804 | 60.773 | -34.969 | 0.42460 |
| A9o, rainbow, ten or higher | 21.135 | 60.773 | -39.638 | 0.34777 |
| A9o, rainbow, nine or lower | 37.692 | 60.773 | -23.081 | 0.62021 |
| A9o, two-tone | 24.823 | 60.773 | -35.950 | 0.40845 |
| A9o, monotone | 32.781 | 60.773 | -27.992 | 0.53940 |
| A9o, paired | 27.955 | 60.773 | -32.818 | 0.45999 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and AJs holds 73.94%. In 24 they do not, and it holds 74.33%. AJs does better with no shared suit, by 0.39 points.
| Deals | Specific deals | Share of deals | AJs wins | Ties | A9o wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 70.156 | 7.561 | 22.283 | 73.936 |
| No shared suit | 24 | 66.67 | 70.615 | 7.422 | 21.963 | 74.326 |
How often this matchup comes up
AJs against A9o is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average AJs takes back $148.40 of it, which is $48.40 more than it put in, and A9o takes back $51.60, $48.40 less than it put in.
Out of 1,000 deals you should see around 704 outright wins for AJs, 221 for A9o, and 75 split pots.
The same matchup from the other side
One page covers both views. From A9o's side the equity is 25.80%, and from AJs' side it is 74.20%.
Keep exploring
AsJs against Ah9d 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
Each figure is a complete count over boards. Take the 36 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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