A4s
55.79%
Wins 55.53%, ties 0.51%
J9s
44.21%
Wins 43.96%, ties 0.51%
A4s against J9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A4s | 55.532 | 0.514 | 43.954 | 55.789 |
| J9s | 43.954 | 0.514 | 55.532 | 44.211 |
Two suited hands meet here: A4s against J9s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. About 0.51% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Ranked by equity against a random hand, A4s is number 35 of the 169 starting hands and J9s is number 55.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A4s | 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) |
|---|---|---|---|---|
| A4s | 1.262 | 1.801 | 2.275 | 0.792 |
| J9s | 0.792 | 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
A4s prefers paired flops, where it holds 61.26%, and likes monotone flops least, where it holds 53.68%. A4s stays ahead on all five textures.
| Flop | Share of flops | A4s wins | Ties | J9s wins | A4s 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 | 51.967 | 3.432 | 44.601 | 53.683 |
| Paired | 17.091 | 60.934 | 0.649 | 38.417 | 61.259 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts A4s from 59.03% by -3.24 points and J9s from 55.66% by -11.45 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A4s, all flops | 55.789 | 59.034 | -3.245 | 0.94503 |
| A4s, rainbow, ten or higher | 54.878 | 59.034 | -4.156 | 0.92960 |
| A4s, rainbow, nine or lower | 54.921 | 59.034 | -4.113 | 0.93033 |
| A4s, two-tone | 54.622 | 59.034 | -4.412 | 0.92526 |
| A4s, monotone | 53.683 | 59.034 | -5.351 | 0.90936 |
| A4s, paired | 61.259 | 59.034 | +2.225 | 1.03769 |
| J9s, all flops | 44.211 | 55.662 | -11.451 | 0.79428 |
| 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 | 38.741 | 55.662 | -16.921 | 0.69600 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common A4s has 57.50% equity, and with none in common it has 55.22%. A4s does better with a shared suit, by 2.28 points.
| Deals | Specific deals | Share of deals | A4s wins | Ties | J9s wins | A4s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 57.201 | 0.595 | 42.204 | 57.499 |
| No shared suit | 12 | 75.00 | 54.975 | 0.487 | 44.538 | 55.219 |
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
With $100 from each side, the $200 pot is split on average as $111.58 for A4s and $88.42 for J9s; the first side gains $11.58 per all-in and the second gives up $11.58.
Scaled to 1,000 deals, that is roughly 555 wins for A4s, 440 for J9s and 5 chopped pots.
The same matchup from the other side
Swap the hands and you get J9s with 44.21% against A4s with 55.79%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try As4s 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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