A6s
57.10%
Wins 56.86%, ties 0.48%
Q9s
42.90%
Wins 42.66%, ties 0.48%
A6s against Q9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A6s | 56.860 | 0.475 | 42.665 | 57.097 |
| Q9s | 42.665 | 0.475 | 56.860 | 42.903 |
Both hands are suited hands: A6s and Q9s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are 0.48% of the outcomes here; each tied board gives both hands half the pot.
For context, A6s sits at number 31 of 169 starting hands and Q9s at number 43 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A6s | 15,578,000 | 130,000 | 11,689,000 |
| Q9s | 11,689,000 | 130,000 | 15,578,000 |
Exact total: 16 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) |
|---|---|---|---|---|
| A6s | 1.331 | 1.759 | 2.344 | 0.751 |
| Q9s | 0.751 | 2.344 | 1.759 | 1.331 |
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
Paired flops are the best for A6s (62.18%); monotone flops are the worst (54.63%). A6s stays ahead on all five textures.
| Flop | Share of flops | A6s wins | Ties | Q9s wins | A6s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.543 | 56.269 | 0.125 | 43.606 | 56.331 |
| Rainbow, nine or lower | 6.366 | 56.441 | 0.757 | 42.802 | 56.819 |
| Two-tone | 46.727 | 55.844 | 0.231 | 43.925 | 55.959 |
| Monotone | 5.273 | 52.930 | 3.397 | 43.673 | 54.629 |
| Paired | 17.091 | 61.857 | 0.637 | 37.506 | 62.175 |
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
Relative to a random opponent, A6s changes by -2.81 points (baseline 59.91%) and Q9s by -14.76 points (baseline 57.66%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A6s, all flops | 57.097 | 59.906 | -2.809 | 0.95311 |
| A6s, rainbow, ten or higher | 56.331 | 59.906 | -3.575 | 0.94032 |
| A6s, rainbow, nine or lower | 56.819 | 59.906 | -3.087 | 0.94847 |
| A6s, two-tone | 55.959 | 59.906 | -3.947 | 0.93411 |
| A6s, monotone | 54.629 | 59.906 | -5.277 | 0.91191 |
| A6s, paired | 62.175 | 59.906 | +2.269 | 1.03788 |
| Q9s, all flops | 42.903 | 57.664 | -14.761 | 0.74402 |
| Q9s, rainbow, ten or higher | 43.669 | 57.664 | -13.995 | 0.75730 |
| Q9s, rainbow, nine or lower | 43.181 | 57.664 | -14.483 | 0.74884 |
| Q9s, two-tone | 44.041 | 57.664 | -13.623 | 0.76375 |
| Q9s, monotone | 45.371 | 57.664 | -12.293 | 0.78682 |
| Q9s, paired | 37.825 | 57.664 | -19.839 | 0.65596 |
Does a shared suit matter?
Two kinds of deal exist here. In 4 of them the hands share a suit and A6s holds 58.96%. In 12 they do not, and it holds 56.48%. A6s does better with a shared suit, by 2.48 points.
| Deals | Specific deals | Share of deals | A6s wins | Ties | Q9s wins | A6s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 58.689 | 0.551 | 40.760 | 58.964 |
| No shared suit | 12 | 75.00 | 56.250 | 0.450 | 43.300 | 56.475 |
How often this matchup comes up
The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, A6s' average share is $114.20 (a gain of $14.20) and Q9s' is $85.80 (a loss of $14.20).
In 1,000 deals of exactly this matchup, expect about 568 won outright by A6s, about 427 won outright by Q9s and about 5 split.
The same matchup from the other side
One page covers both views. From Q9s' side the equity is 42.90%, and from A6s' side it is 57.10%.
Keep exploring
Open the calculator with As6s against Qh9h already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Nothing here is simulated. The 16 deals of A6s against Q9s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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