AJo
73.04%
Wins 69.13%, ties 7.82%
A9o
26.96%
Wins 23.05%, ties 7.82%
AJo against A9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 69.128 | 7.823 | 23.049 | 73.040 |
| A9o | 23.049 | 7.823 | 69.128 | 26.960 |
Both hands are offsuit hands: AJo and A9o. 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.
AJo is the clear favorite, though A9o gets there on roughly one board in 4. The tie share is 7.82%: on those boards the pot is chopped and neither hand wins outright.
AJo ranks number 15 of 169 starting hands, and A9o ranks number 25, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 127,838,000 | 14,467,000 | 42,624,000 |
| A9o | 42,624,000 | 14,467,000 | 127,838,000 |
The board total is exact, 108 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) |
|---|---|---|---|---|
| AJo | 2.709 | 1.447 | 4.339 | 0.369 |
| A9o | 0.369 | 4.339 | 1.447 | 2.709 |
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
By flop texture, AJo's equity runs from 60.89% on low rainbow flops (nine high or lower) up to 78.21% on rainbow flops topped by a ten or better. AJo 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 | AJo wins | Ties | A9o wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.003 | 75.384 | 5.654 | 18.962 | 78.211 |
| Rainbow, nine or lower | 7.042 | 58.631 | 4.526 | 36.843 | 60.894 |
| Two-tone | 46.477 | 70.925 | 5.311 | 23.764 | 73.580 |
| Monotone | 5.144 | 65.291 | 5.890 | 28.819 | 68.236 |
| Paired | 17.334 | 61.052 | 19.475 | 19.473 | 70.789 |
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
Each hand has a baseline against a random hand: 63.56% for AJo, 60.77% for A9o. Here the change is +9.48 and -33.81 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 73.040 | 63.563 | +9.477 | 1.14910 |
| AJo, rainbow, ten or higher | 78.211 | 63.563 | +14.648 | 1.23045 |
| AJo, rainbow, nine or lower | 60.894 | 63.563 | -2.669 | 0.95801 |
| AJo, two-tone | 73.580 | 63.563 | +10.017 | 1.15759 |
| AJo, monotone | 68.236 | 63.563 | +4.673 | 1.07352 |
| AJo, paired | 70.789 | 63.563 | +7.226 | 1.11368 |
| A9o, all flops | 26.960 | 60.773 | -33.813 | 0.44362 |
| A9o, rainbow, ten or higher | 21.789 | 60.773 | -38.984 | 0.35853 |
| A9o, rainbow, nine or lower | 39.106 | 60.773 | -21.667 | 0.64348 |
| A9o, two-tone | 26.420 | 60.773 | -34.353 | 0.43473 |
| A9o, monotone | 31.764 | 60.773 | -29.009 | 0.52267 |
| A9o, paired | 29.211 | 60.773 | -31.562 | 0.48066 |
Does a shared suit matter?
The suit split reads 73.14% for AJo with a shared suit and 72.67% without one. AJo does better with a shared suit, by 0.47 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | A9o wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 84 | 77.78 | 69.217 | 7.855 | 22.928 | 73.144 |
| No shared suit | 24 | 22.22 | 68.819 | 7.710 | 23.471 | 72.674 |
How often this matchup comes up
Exactly 108 specific deals fit this matchup in one seat order, which is 0.0066% of 1,624,350; both orders together give 216, or 0.0133%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says AJo gets $146.08 of it on average and A9o gets $53.92.
Run 1,000 deals and the tally comes out near 691 for AJo, 231 for A9o and 78 ties.
The same matchup from the other side
The reversed view, A9o against AJo, shows 26.96% for A9o and 73.04% for AJo. It is the same count, so it redirects here.
Keep exploring
Try AsJh against Ad9c 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
Method: exact enumeration. The 108 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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