A8s
57.81%
Wins 57.57%, ties 0.48%
Q9s
42.19%
Wins 41.95%, ties 0.48%
A8s against Q9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A8s | 57.569 | 0.478 | 41.953 | 57.808 |
| Q9s | 41.953 | 0.478 | 57.569 | 42.192 |
A8s meets Q9s, and both are suited hands. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are 0.48% of the outcomes here; each tied board gives both hands half the pot.
Ranked by equity against a random hand, A8s is number 21 of the 169 starting hands and Q9s is number 43.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A8s | 15,772,000 | 131,000 | 11,494,000 |
| Q9s | 11,494,000 | 131,000 | 15,772,000 |
The board total is exact, 16 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) |
|---|---|---|---|---|
| A8s | 1.370 | 1.737 | 2.384 | 0.730 |
| Q9s | 0.730 | 2.384 | 1.737 | 1.370 |
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
Across the five flop textures A8s' equity moves by 7.51 points, from 55.13% on monotone flops to 62.64% on paired flops. A8s stays ahead on all five textures.
| Flop | Share of flops | A8s wins | Ties | Q9s wins | A8s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.543 | 57.354 | 0.152 | 42.494 | 57.430 |
| Rainbow, nine or lower | 6.366 | 56.367 | 0.687 | 42.946 | 56.711 |
| Two-tone | 46.727 | 56.572 | 0.236 | 43.192 | 56.690 |
| Monotone | 5.273 | 53.436 | 3.397 | 43.167 | 55.134 |
| Paired | 17.091 | 62.324 | 0.628 | 37.048 | 62.638 |
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
Start from the random-hand figures, 61.94% for A8s and 57.66% for Q9s. This opponent changes them by -4.13 and -15.47 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A8s, all flops | 57.808 | 61.944 | -4.136 | 0.93323 |
| A8s, rainbow, ten or higher | 57.430 | 61.944 | -4.514 | 0.92713 |
| A8s, rainbow, nine or lower | 56.711 | 61.944 | -5.233 | 0.91552 |
| A8s, two-tone | 56.690 | 61.944 | -5.254 | 0.91518 |
| A8s, monotone | 55.134 | 61.944 | -6.810 | 0.89006 |
| A8s, paired | 62.638 | 61.944 | +0.694 | 1.01120 |
| Q9s, all flops | 42.192 | 57.664 | -15.472 | 0.73169 |
| Q9s, rainbow, ten or higher | 42.570 | 57.664 | -15.094 | 0.73824 |
| Q9s, rainbow, nine or lower | 43.289 | 57.664 | -14.375 | 0.75071 |
| Q9s, two-tone | 43.310 | 57.664 | -14.354 | 0.75108 |
| Q9s, monotone | 44.866 | 57.664 | -12.798 | 0.77806 |
| Q9s, paired | 37.362 | 57.664 | -20.302 | 0.64793 |
Does a shared suit matter?
Two kinds of deal exist here. In 4 of them the hands share a suit and A8s holds 59.78%. In 12 they do not, and it holds 57.15%. A8s does better with a shared suit, by 2.63 points.
| Deals | Specific deals | Share of deals | A8s wins | Ties | Q9s wins | A8s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 59.499 | 0.553 | 39.948 | 59.775 |
| No shared suit | 12 | 75.00 | 56.925 | 0.453 | 42.622 | 57.152 |
How often this matchup comes up
This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).
A worked example
Take a $200 pot built from $100 each. A8s' equity of 57.81% is worth $115.62, a $15.62 edge, and Q9s' 42.19% is worth $84.38, which is $15.62 under its stake.
Over a long run, 1,000 deals split into about 576 for A8s, 419 for Q9s and 5 tied.
The same matchup from the other side
If you came looking for Q9s against A8s, the numbers are the same with the hands swapped: 42.19% and 57.81%.
Keep exploring
The calculator link fills in As8s against Qh9h, 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
This is an exact count with no sampling. For the 16 ways to deal one A8s and one Q9s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session