A9s
62.59%
Wins 62.31%, ties 0.56%
53s
37.41%
Wins 37.13%, ties 0.56%
A9s against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9s | 62.314 | 0.556 | 37.130 | 62.592 |
| 53s | 37.130 | 0.556 | 62.314 | 37.408 |
Two suited hands meet here: A9s against 53s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A9s is ahead, but 53s is far from dead: it takes 371 of every 1,000 deals outright. 0.56% of boards are ties, so the equity of each hand is its win rate plus half of that.
In the ranking of all 169 starting hands, A9s is number 18 and 53s is number 146.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9s | 17,072,000 | 152,000 | 10,172,000 |
| 53s | 10,172,000 | 152,000 | 17,072,000 |
16 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| A9s | 1.673 | 1.605 | 2.693 | 0.598 |
| 53s | 0.598 | 2.693 | 1.605 | 1.673 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Rainbow flops topped by a ten or better are the best for A9s (65.91%); low rainbow flops (nine high or lower) are the worst (48.08%). 53s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | A9s wins | Ties | 53s wins | A9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 65.787 | 0.239 | 33.974 | 65.907 |
| Rainbow, nine or lower | 5.689 | 47.671 | 0.815 | 51.514 | 48.079 |
| Two-tone | 46.727 | 61.575 | 0.312 | 38.113 | 61.731 |
| Monotone | 5.273 | 57.897 | 3.559 | 38.544 | 59.677 |
| Paired | 17.091 | 65.446 | 0.678 | 33.876 | 65.785 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
A random hand would give A9s 62.78% and 53s 39.69%. Against each other the change is -0.19 points for A9s and -2.28 for 53s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9s, all flops | 62.592 | 62.781 | -0.189 | 0.99699 |
| A9s, rainbow, ten or higher | 65.907 | 62.781 | +3.126 | 1.04979 |
| A9s, rainbow, nine or lower | 48.079 | 62.781 | -14.702 | 0.76582 |
| A9s, two-tone | 61.731 | 62.781 | -1.050 | 0.98328 |
| A9s, monotone | 59.677 | 62.781 | -3.104 | 0.95056 |
| A9s, paired | 65.785 | 62.781 | +3.004 | 1.04785 |
| 53s, all flops | 37.408 | 39.693 | -2.285 | 0.94243 |
| 53s, rainbow, ten or higher | 34.093 | 39.693 | -5.600 | 0.85892 |
| 53s, rainbow, nine or lower | 51.921 | 39.693 | +12.228 | 1.30806 |
| 53s, two-tone | 38.269 | 39.693 | -1.424 | 0.96412 |
| 53s, monotone | 40.323 | 39.693 | +0.630 | 1.01587 |
| 53s, paired | 34.215 | 39.693 | -5.478 | 0.86199 |
Does a shared suit matter?
Split by suits, the deals give A9s 64.89% when the hands overlap in a suit and 61.83% when they do not. A9s does better with a shared suit, by 3.06 points.
| Deals | Specific deals | Share of deals | A9s wins | Ties | 53s wins | A9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.568 | 0.635 | 34.797 | 64.885 |
| No shared suit | 12 | 75.00 | 61.563 | 0.530 | 37.907 | 61.828 |
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. A9s' equity of 62.59% is worth $125.18, a $25.18 edge, and 53s' 37.41% is worth $74.82, which is $25.18 under its stake.
A thousand deals look like this: A9s takes 623, 53s takes 371, 6 are ties.
The same matchup from the other side
If you came looking for 53s against A9s, the numbers are the same with the hands swapped: 37.41% and 62.59%.
Keep exploring
The calculator link fills in As9s against 5h3h, 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
We counted every case. Each suit pattern of the 16 specific A9s against 53s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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