AJs
30.34%
Wins 27.57%, ties 5.53%
AQo
69.66%
Wins 66.90%, ties 5.53%
AJs against AQo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 27.574 | 5.529 | 66.897 | 30.338 |
| AQo | 66.897 | 5.529 | 27.574 | 69.662 |
AJs, a suited hand, plays AQo, an offsuit hand. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
AQo is the clear favorite, though AJs gets there on roughly one board in 3. Split pots make up 5.53% of the boards, and both equity figures count them as half a win each.
Place 11 of 169 belongs to AJs and place 14 belongs to AQo in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 16,997,000 | 3,408,000 | 41,237,000 |
| AQo | 41,237,000 | 3,408,000 | 16,997,000 |
The total is exact: 36 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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 | 0.436 | 3.627 | 1.495 | 2.296 |
| AQo | 2.296 | 1.495 | 3.627 | 0.436 |
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
Split by what the flop looks like, AQo peaks at 81.47% on low rainbow flops (nine high or lower) and bottoms out at 64.40% on monotone flops. AQo 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 | AQo wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 28.851 | 3.088 | 68.061 | 30.395 |
| Rainbow, nine or lower | 7.771 | 15.876 | 5.317 | 78.807 | 18.534 |
| Two-tone | 46.527 | 29.532 | 3.452 | 67.016 | 31.258 |
| Monotone | 5.192 | 33.269 | 4.670 | 62.061 | 35.604 |
| Paired | 17.333 | 24.148 | 14.718 | 61.134 | 31.507 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of -35.05 points for AJs, from 65.39%, and +5.23 for AQo, from 64.43%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 30.338 | 65.393 | -35.055 | 0.46393 |
| AJs, rainbow, ten or higher | 30.395 | 65.393 | -34.998 | 0.46481 |
| AJs, rainbow, nine or lower | 18.534 | 65.393 | -46.859 | 0.28342 |
| AJs, two-tone | 31.258 | 65.393 | -34.135 | 0.47800 |
| AJs, monotone | 35.604 | 65.393 | -29.789 | 0.54446 |
| AJs, paired | 31.507 | 65.393 | -33.886 | 0.48181 |
| AQo, all flops | 69.662 | 64.432 | +5.230 | 1.08117 |
| AQo, rainbow, ten or higher | 69.605 | 64.432 | +5.173 | 1.08029 |
| AQo, rainbow, nine or lower | 81.466 | 64.432 | +17.034 | 1.26437 |
| AQo, two-tone | 68.742 | 64.432 | +4.310 | 1.06689 |
| AQo, monotone | 64.396 | 64.432 | -0.036 | 0.99944 |
| AQo, paired | 68.493 | 64.432 | +4.061 | 1.06303 |
Does a shared suit matter?
When the hands share a suit, AQo holds 70.42%; when they do not, it holds 69.28%. AQo does better with a shared suit, by 1.14 points.
| Deals | Specific deals | Share of deals | AJs wins | Ties | AQo wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 26.773 | 5.609 | 67.618 | 29.577 |
| No shared suit | 24 | 66.67 | 27.975 | 5.488 | 66.537 | 30.719 |
How often this matchup comes up
The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average AQo takes back $139.32 of it, which is $39.32 more than it put in, and AJs takes back $60.68, $39.32 less than it put in.
Scaled to 1,000 deals, that is roughly 669 wins for AQo, 276 for AJs and 55 chopped pots.
The same matchup from the other side
AQo versus AJs is this same page seen from the other hand: 69.66% for AQo, 30.34% for AJs.
Keep exploring
Try AsJs against AhQd 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
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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