AJs
61.75%
Wins 61.52%, ties 0.47%
76s
38.25%
Wins 38.01%, ties 0.47%
AJs against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 61.519 | 0.467 | 38.014 | 61.752 |
| 76s | 38.014 | 0.467 | 61.519 | 38.248 |
AJs meets 76s, and both are suited hands. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
AJs is ahead, but 76s is far from dead: it takes 380 of every 1,000 deals outright. Of every 100 boards, about 0.47 are split pots, and the equity figures already include them.
In the ranking of all 169 starting hands, AJs is number 11 and 76s is number 115.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 16,854,000 | 128,000 | 10,415,000 |
| 76s | 10,415,000 | 128,000 | 16,854,000 |
Exact total: 16 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) |
|---|---|---|---|---|
| AJs | 1.615 | 1.626 | 2.631 | 0.619 |
| 76s | 0.619 | 2.631 | 1.626 | 1.615 |
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
Split by what the flop looks like, AJs peaks at 68.75% on rainbow flops topped by a ten or better and bottoms out at 34.79% on low rainbow flops (nine high or lower). AJs is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | AJs wins | Ties | 76s wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 68.676 | 0.155 | 31.169 | 68.754 |
| Rainbow, nine or lower | 6.314 | 34.502 | 0.566 | 64.932 | 34.785 |
| Two-tone | 46.727 | 60.943 | 0.221 | 38.836 | 61.054 |
| Monotone | 5.273 | 57.523 | 3.406 | 39.071 | 59.226 |
| Paired | 17.091 | 64.003 | 0.649 | 35.348 | 64.328 |
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 AJs 65.39% and 76s 45.37%. Against each other the change is -3.64 points for AJs and -7.12 for 76s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 61.752 | 65.393 | -3.641 | 0.94432 |
| AJs, rainbow, ten or higher | 68.754 | 65.393 | +3.361 | 1.05140 |
| AJs, rainbow, nine or lower | 34.785 | 65.393 | -30.608 | 0.53194 |
| AJs, two-tone | 61.054 | 65.393 | -4.339 | 0.93365 |
| AJs, monotone | 59.226 | 65.393 | -6.167 | 0.90569 |
| AJs, paired | 64.328 | 65.393 | -1.065 | 0.98371 |
| 76s, all flops | 38.248 | 45.372 | -7.124 | 0.84299 |
| 76s, rainbow, ten or higher | 31.246 | 45.372 | -14.126 | 0.68866 |
| 76s, rainbow, nine or lower | 65.215 | 45.372 | +19.843 | 1.43734 |
| 76s, two-tone | 38.946 | 45.372 | -6.426 | 0.85837 |
| 76s, monotone | 40.774 | 45.372 | -4.598 | 0.89866 |
| 76s, paired | 35.672 | 45.372 | -9.700 | 0.78621 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common AJs has 63.91% equity, and with none in common it has 61.03%. AJs does better with a shared suit, by 2.88 points.
| Deals | Specific deals | Share of deals | AJs wins | Ties | 76s wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.637 | 0.543 | 35.820 | 63.908 |
| No shared suit | 12 | 75.00 | 60.812 | 0.442 | 38.746 | 61.033 |
How often this matchup comes up
AJs against 76s is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says AJs gets $123.50 of it on average and 76s gets $76.50.
Per 1,000 deals: AJs wins about 615, 76s wins about 380, and about 5 end in a split pot.
The same matchup from the other side
The mirror image, 76s against AJs, is 38.25% to 61.75%, and its address redirects to this page.
Keep exploring
Open the calculator with AsJs against 7h6h 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
Method: exact enumeration. The 16 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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