AJs
70.35%
Wins 69.45%, ties 1.78%
J9s
29.65%
Wins 28.77%, ties 1.78%
AJs against J9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 69.454 | 1.784 | 28.762 | 70.346 |
| J9s | 28.762 | 1.784 | 69.454 | 29.654 |
This is a contest between two suited hands, AJs and J9s. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
AJs is well ahead, and J9s needs a specific kind of board to catch up. A split pot comes up on 1.78% of boards, so the wins and the equity differ by half of that.
In the ranking of all 169 starting hands, AJs is number 11 and J9s is number 55.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 14,271,000 | 367,000 | 5,910,000 |
| J9s | 5,910,000 | 367,000 | 14,271,000 |
The total is exact: 12 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) |
|---|---|---|---|---|
| AJs | 2.372 | 1.440 | 3.477 | 0.422 |
| J9s | 0.422 | 3.477 | 1.440 | 2.372 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Break the boards down by their first three cards and AJs is strongest on rainbow flops topped by a ten or better (75.02%) and weakest on low rainbow flops (nine high or lower) (59.92%). AJs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | AJs wins | Ties | J9s wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 74.173 | 1.684 | 24.143 | 75.015 |
| Rainbow, nine or lower | 7.042 | 59.141 | 1.559 | 39.300 | 59.920 |
| Two-tone | 46.543 | 68.181 | 1.451 | 30.368 | 68.906 |
| Monotone | 5.215 | 61.561 | 3.969 | 34.470 | 63.546 |
| Paired | 17.333 | 72.940 | 2.249 | 24.811 | 74.065 |
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
The table below sets each hand against its own random-hand baseline: a change of +4.96 points for AJs, from 65.39%, and -26.01 for J9s, from 55.66%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 70.346 | 65.393 | +4.953 | 1.07574 |
| AJs, rainbow, ten or higher | 75.015 | 65.393 | +9.622 | 1.14714 |
| AJs, rainbow, nine or lower | 59.920 | 65.393 | -5.473 | 0.91631 |
| AJs, two-tone | 68.906 | 65.393 | +3.513 | 1.05372 |
| AJs, monotone | 63.546 | 65.393 | -1.847 | 0.97176 |
| AJs, paired | 74.065 | 65.393 | +8.672 | 1.13261 |
| J9s, all flops | 29.654 | 55.662 | -26.008 | 0.53275 |
| J9s, rainbow, ten or higher | 24.985 | 55.662 | -30.677 | 0.44887 |
| J9s, rainbow, nine or lower | 40.080 | 55.662 | -15.582 | 0.72006 |
| J9s, two-tone | 31.094 | 55.662 | -24.568 | 0.55862 |
| J9s, monotone | 36.454 | 55.662 | -19.208 | 0.65492 |
| J9s, paired | 25.935 | 55.662 | -29.727 | 0.46594 |
Does a shared suit matter?
There is no shared-suit case for this pair, since the cards they would need are already in the other hand. Every deal is a no-shared-suit deal.
| Deals | Specific deals | Share of deals | AJs wins | Ties | J9s wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 69.454 | 1.784 | 28.762 | 70.346 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 12 are AJs in one seat and J9s in the other (0.0007%); with the seats swapped too, 24 (0.0015%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. AJs is worth $140.70 on average (+$40.70); J9s is worth $59.30 (-$40.70).
Per 1,000 deals: AJs wins about 694, J9s wins about 288, and about 18 end in a split pot.
The same matchup from the other side
The mirror image, J9s against AJs, is 29.65% to 70.35%, and its address redirects to this page.
Keep exploring
Open the calculator with AsJs against Jh9h already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 12 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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