A9s
49.02%
Wins 48.74%, ties 0.55%
33
50.98%
Wins 50.71%, ties 0.55%
A9s against 33: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9s | 48.740 | 0.551 | 50.709 | 49.015 |
| 33 | 50.709 | 0.551 | 48.740 | 50.985 |
A9s is a suited hand and 33 is a pocket pair. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
33 leads by less than 2 points of equity, so the result of any one deal is close to a toss-up. Ties are part of the picture: 0.55% of boards end in a split pot, and each side counts that as half a win.
Ranked by equity against a random hand, A9s is number 18 of the 169 starting hands and 33 is number 66.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9s | 20,030,000 | 226,000 | 20,839,000 |
| 33 | 20,839,000 | 226,000 | 20,030,000 |
Exact total: 24 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) |
|---|---|---|---|---|
| A9s | 0.961 | 2.052 | 1.972 | 1.040 |
| 33 | 1.040 | 1.972 | 2.052 | 0.961 |
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 33's equity moves by 8.08 points, from 50.04% on two-tone flops to 58.12% on low rainbow flops (nine high or lower). 33 stays ahead on all five textures.
| Flop | Share of flops | A9s wins | Ties | 33 wins | A9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 48.879 | 0.247 | 50.874 | 49.002 |
| Rainbow, nine or lower | 5.689 | 41.443 | 0.866 | 57.691 | 41.876 |
| Two-tone | 46.545 | 49.790 | 0.334 | 49.876 | 49.957 |
| Monotone | 5.212 | 47.646 | 3.178 | 49.176 | 49.235 |
| Paired | 17.334 | 48.443 | 0.681 | 50.876 | 48.784 |
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 -13.76 points for A9s, from 62.78%, and -2.71 for 33, from 53.69%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9s, all flops | 49.015 | 62.781 | -13.766 | 0.78073 |
| A9s, rainbow, ten or higher | 49.002 | 62.781 | -13.779 | 0.78052 |
| A9s, rainbow, nine or lower | 41.876 | 62.781 | -20.905 | 0.66702 |
| A9s, two-tone | 49.957 | 62.781 | -12.824 | 0.79573 |
| A9s, monotone | 49.235 | 62.781 | -13.546 | 0.78423 |
| A9s, paired | 48.784 | 62.781 | -13.997 | 0.77705 |
| 33, all flops | 50.985 | 53.693 | -2.708 | 0.94957 |
| 33, rainbow, ten or higher | 50.998 | 53.693 | -2.695 | 0.94981 |
| 33, rainbow, nine or lower | 58.124 | 53.693 | +4.431 | 1.08252 |
| 33, two-tone | 50.043 | 53.693 | -3.650 | 0.93202 |
| 33, monotone | 50.765 | 53.693 | -2.928 | 0.94547 |
| 33, paired | 51.216 | 53.693 | -2.477 | 0.95387 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (33 at 51.18%) and 12 do not (50.79%). 33 does better with a shared suit, by 0.39 points.
| Deals | Specific deals | Share of deals | A9s wins | Ties | 33 wins | A9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 48.532 | 0.581 | 50.887 | 48.823 |
| No shared suit | 12 | 50.00 | 48.948 | 0.521 | 50.531 | 49.208 |
How often this matchup comes up
This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).
A worked example
Put $100 each into a $200 pot and deal every board once: 33 averages $101.96 back, ahead of its $100 by $1.96, while A9s averages $98.04, short of its $100 by $1.96.
Per 1,000 deals: 33 wins about 507, A9s wins about 487, and about 6 end in a split pot.
The same matchup from the other side
One page covers both views. From 33's side the equity is 50.98%, and from A9s' side it is 49.02%.
Keep exploring
The calculator link fills in As9s against 3h3d, 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
Method: exact enumeration. The 24 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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