A9s
47.50%
Wins 47.26%, ties 0.48%
55
52.50%
Wins 52.26%, ties 0.48%
A9s against 55: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9s | 47.262 | 0.476 | 52.262 | 47.500 |
| 55 | 52.262 | 0.476 | 47.262 | 52.500 |
A9s, a suited hand, plays 55, a pocket pair. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
With only 5.00 points between them, the board decides this matchup far more than the cards in hand. A split pot comes up on 0.48% of boards, so the wins and the equity differ by half of that.
For context, A9s sits at number 18 of 169 starting hands and 55 at number 27 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9s | 19,422,000 | 196,000 | 21,477,000 |
| 55 | 21,477,000 | 196,000 | 19,422,000 |
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 | 0.905 | 2.116 | 1.913 | 1.105 |
| 55 | 1.105 | 1.913 | 2.116 | 0.905 |
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
Across the five flop textures 55's equity moves by 10.06 points, from 51.09% on two-tone flops to 61.15% on low rainbow flops (nine high or lower). 55 stays ahead on all five textures.
| Flop | Share of flops | A9s wins | Ties | 55 wins | A9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 48.189 | 0.247 | 51.564 | 48.313 |
| Rainbow, nine or lower | 5.689 | 38.485 | 0.722 | 60.793 | 38.846 |
| Two-tone | 46.545 | 48.754 | 0.310 | 50.936 | 48.909 |
| Monotone | 5.212 | 46.876 | 2.602 | 50.522 | 48.177 |
| Paired | 17.334 | 44.903 | 0.536 | 54.561 | 45.171 |
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
Compared with a random opponent, this matchup shifts A9s from 62.78% by -15.28 points and 55 from 60.33% by -7.83 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9s, all flops | 47.500 | 62.781 | -15.281 | 0.75660 |
| A9s, rainbow, ten or higher | 48.313 | 62.781 | -14.468 | 0.76955 |
| A9s, rainbow, nine or lower | 38.846 | 62.781 | -23.935 | 0.61875 |
| A9s, two-tone | 48.909 | 62.781 | -13.872 | 0.77904 |
| A9s, monotone | 48.177 | 62.781 | -14.604 | 0.76738 |
| A9s, paired | 45.171 | 62.781 | -17.610 | 0.71950 |
| 55, all flops | 52.500 | 60.325 | -7.825 | 0.87029 |
| 55, rainbow, ten or higher | 51.687 | 60.325 | -8.638 | 0.85681 |
| 55, rainbow, nine or lower | 61.154 | 60.325 | +0.829 | 1.01374 |
| 55, two-tone | 51.091 | 60.325 | -9.234 | 0.84693 |
| 55, monotone | 51.823 | 60.325 | -8.502 | 0.85906 |
| 55, paired | 54.829 | 60.325 | -5.496 | 0.90889 |
Does a shared suit matter?
The suit split reads 52.69% for 55 with a shared suit and 52.31% without one. 55 does better with a shared suit, by 0.38 points.
| Deals | Specific deals | Share of deals | A9s wins | Ties | 55 wins | A9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 47.055 | 0.517 | 52.428 | 47.314 |
| No shared suit | 12 | 50.00 | 47.468 | 0.436 | 52.096 | 47.686 |
How often this matchup comes up
Counting specific cards, A9s against 55 appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, 55's average share is $105.00 (a gain of $5.00) and A9s' is $95.00 (a loss of $5.00).
Per 1,000 deals: 55 wins about 523, A9s wins about 472, and about 5 end in a split pot.
The same matchup from the other side
Swap the hands and you get 55 with 52.50% against A9s with 47.50%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try As9s against 5h5d 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
Nothing here is simulated. The 24 deals of A9s against 55 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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