AJo
68.81%
Wins 65.09%, ties 7.45%
A9s
31.19%
Wins 27.46%, ties 7.45%
AJo against A9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 65.087 | 7.454 | 27.459 | 68.814 |
| A9s | 27.459 | 7.454 | 65.087 | 31.186 |
AJo and A9s 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 lead of 37.62 points is large but not decisive: A9s still takes about 275 of every 1,000 deals. The tie share is 7.45%: on those boards the pot is chopped and neither hand wins outright.
The hand ranking puts AJo at 15 and A9s at 18 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 40,122,000 | 4,595,000 | 16,927,000 |
| A9s | 16,927,000 | 4,595,000 | 40,122,000 |
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) |
|---|---|---|---|---|
| AJo | 2.207 | 1.536 | 3.642 | 0.453 |
| A9s | 0.453 | 3.642 | 1.536 | 2.207 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
By flop texture, AJo's equity runs from 58.73% on low rainbow flops (nine high or lower) up to 75.75% 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 | A9s wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 72.987 | 5.529 | 21.484 | 75.752 |
| Rainbow, nine or lower | 7.042 | 56.542 | 4.368 | 39.090 | 58.726 |
| Two-tone | 46.527 | 65.574 | 4.967 | 29.459 | 68.057 |
| Monotone | 5.192 | 60.937 | 5.850 | 33.213 | 63.862 |
| Paired | 17.334 | 57.599 | 18.522 | 23.879 | 66.860 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Relative to a random opponent, AJo changes by +5.25 points (baseline 63.56%) and A9s by -31.59 points (baseline 62.78%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 68.814 | 63.563 | +5.251 | 1.08261 |
| AJo, rainbow, ten or higher | 75.752 | 63.563 | +12.189 | 1.19176 |
| AJo, rainbow, nine or lower | 58.726 | 63.563 | -4.837 | 0.92390 |
| AJo, two-tone | 68.057 | 63.563 | +4.494 | 1.07070 |
| AJo, monotone | 63.862 | 63.563 | +0.299 | 1.00470 |
| AJo, paired | 66.860 | 63.563 | +3.297 | 1.05187 |
| A9s, all flops | 31.186 | 62.781 | -31.595 | 0.49674 |
| A9s, rainbow, ten or higher | 24.248 | 62.781 | -38.533 | 0.38623 |
| A9s, rainbow, nine or lower | 41.274 | 62.781 | -21.507 | 0.65743 |
| A9s, two-tone | 31.943 | 62.781 | -30.838 | 0.50880 |
| A9s, monotone | 36.138 | 62.781 | -26.643 | 0.57562 |
| A9s, paired | 33.140 | 62.781 | -29.641 | 0.52787 |
Does a shared suit matter?
When the hands share a suit, AJo holds 69.62%; when they do not, it holds 68.41%. AJo does better with a shared suit, by 1.21 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | A9s wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 65.840 | 7.561 | 26.599 | 69.621 |
| No shared suit | 24 | 66.67 | 64.710 | 7.401 | 27.889 | 68.411 |
How often this matchup comes up
AJo against A9s 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
A $100 all-in from each player makes a $200 pot, and the exact equity says AJo gets $137.62 of it on average and A9s gets $62.38.
Run 1,000 deals and the tally comes out near 651 for AJo, 275 for A9s and 74 ties.
The same matchup from the other side
Swap the hands and you get A9s with 31.19% against AJo with 68.81%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in AsJh against Ad9d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one 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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