A3s
55.79%
Wins 55.53%, ties 0.52%
J9s
44.21%
Wins 43.95%, ties 0.52%
A3s against J9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A3s | 55.531 | 0.515 | 43.954 | 55.788 |
| J9s | 43.954 | 0.515 | 55.531 | 44.212 |
Each side holds one of the suited hands: A3s and J9s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A3s is ahead, but J9s is far from dead: it takes 440 of every 1,000 deals outright. The tie share is 0.52%: on those boards the pot is chopped and neither hand wins outright.
In the ranking of all 169 starting hands, A3s is number 38 and J9s is number 55.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A3s | 15,214,000 | 141,000 | 12,042,000 |
| J9s | 12,042,000 | 141,000 | 15,214,000 |
The total is exact: 16 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| A3s | 1.262 | 1.801 | 2.275 | 0.793 |
| J9s | 0.793 | 2.275 | 1.801 | 1.262 |
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
By flop texture, A3s' equity runs from 53.68% on monotone flops up to 61.26% on paired flops. A3s stays ahead on all five textures.
| Flop | Share of flops | A3s wins | Ties | J9s wins | A3s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.543 | 54.795 | 0.165 | 45.040 | 54.878 |
| Rainbow, nine or lower | 6.366 | 54.503 | 0.835 | 44.662 | 54.921 |
| Two-tone | 46.727 | 54.485 | 0.275 | 45.240 | 54.622 |
| Monotone | 5.273 | 51.966 | 3.433 | 44.601 | 53.683 |
| Paired | 17.091 | 60.930 | 0.653 | 38.417 | 61.257 |
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, 58.22% for A3s and 55.66% for J9s. This opponent changes them by -2.43 and -11.45 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A3s, all flops | 55.788 | 58.220 | -2.432 | 0.95823 |
| A3s, rainbow, ten or higher | 54.878 | 58.220 | -3.342 | 0.94260 |
| A3s, rainbow, nine or lower | 54.921 | 58.220 | -3.299 | 0.94334 |
| A3s, two-tone | 54.622 | 58.220 | -3.598 | 0.93820 |
| A3s, monotone | 53.683 | 58.220 | -4.537 | 0.92207 |
| A3s, paired | 61.257 | 58.220 | +3.037 | 1.05216 |
| J9s, all flops | 44.212 | 55.662 | -11.450 | 0.79429 |
| J9s, rainbow, ten or higher | 45.122 | 55.662 | -10.540 | 0.81064 |
| J9s, rainbow, nine or lower | 45.079 | 55.662 | -10.583 | 0.80987 |
| J9s, two-tone | 45.378 | 55.662 | -10.284 | 0.81524 |
| J9s, monotone | 46.317 | 55.662 | -9.345 | 0.83211 |
| J9s, paired | 38.743 | 55.662 | -16.919 | 0.69604 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, A3s has 57.50%; looking only at deals where they do not, 55.22%. A3s does better with a shared suit, by 2.28 points.
| Deals | Specific deals | Share of deals | A3s wins | Ties | J9s wins | A3s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 57.200 | 0.596 | 42.204 | 57.498 |
| No shared suit | 12 | 75.00 | 54.974 | 0.488 | 44.538 | 55.218 |
How often this matchup comes up
Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, A3s' average share is $111.58 (a gain of $11.58) and J9s' is $88.42 (a loss of $11.58).
Per 1,000 deals: A3s wins about 555, J9s wins about 440, and about 5 end in a split pot.
The same matchup from the other side
Read it from the other side: J9s against A3s is the same matchup with the numbers swapped, so J9s holds 44.21% and A3s holds 55.79%. That address sends you back to this page.
Keep exploring
Try As3s against Jh9h 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 16 deals of A3s against J9s 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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