AJs
69.89%
Wins 66.46%, ties 6.86%
A6s
30.11%
Wins 26.68%, ties 6.86%
AJs against A6s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 66.464 | 6.857 | 26.679 | 69.893 |
| A6s | 26.679 | 6.857 | 66.464 | 30.107 |
Here suited hands face each other, AJs on one side and A6s on the other. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
A lead of 39.78 points is large but not decisive: A6s still takes about 267 of every 1,000 deals. Ties are 6.86% of the outcomes here; each tied board gives both hands half the pot.
By strength against a random hand, AJs holds place 11 of 169 and A6s holds place 31.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 13,657,000 | 1,409,000 | 5,482,000 |
| A6s | 5,482,000 | 1,409,000 | 13,657,000 |
12 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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 | 2.321 | 1.505 | 3.748 | 0.431 |
| A6s | 0.431 | 3.748 | 1.505 | 2.321 |
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
Across the five flop textures AJs' equity moves by 19.12 points, from 57.58% on low rainbow flops (nine high or lower) to 76.70% on rainbow flops topped by a ten or better. 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 | A6s wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 74.059 | 5.285 | 20.656 | 76.702 |
| Rainbow, nine or lower | 7.042 | 56.226 | 2.717 | 41.057 | 57.584 |
| Two-tone | 46.543 | 67.322 | 4.303 | 28.375 | 69.474 |
| Monotone | 5.215 | 60.873 | 6.062 | 33.065 | 63.904 |
| Paired | 17.333 | 59.546 | 17.796 | 22.658 | 68.444 |
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 AJs from 65.39% by +4.50 points and A6s from 59.91% by -29.80 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 69.893 | 65.393 | +4.500 | 1.06881 |
| AJs, rainbow, ten or higher | 76.702 | 65.393 | +11.309 | 1.17294 |
| AJs, rainbow, nine or lower | 57.584 | 65.393 | -7.809 | 0.88058 |
| AJs, two-tone | 69.474 | 65.393 | +4.081 | 1.06241 |
| AJs, monotone | 63.904 | 65.393 | -1.489 | 0.97723 |
| AJs, paired | 68.444 | 65.393 | +3.051 | 1.04666 |
| A6s, all flops | 30.107 | 59.906 | -29.799 | 0.50257 |
| A6s, rainbow, ten or higher | 23.298 | 59.906 | -36.608 | 0.38891 |
| A6s, rainbow, nine or lower | 42.416 | 59.906 | -17.490 | 0.70804 |
| A6s, two-tone | 30.526 | 59.906 | -29.380 | 0.50956 |
| A6s, monotone | 36.096 | 59.906 | -23.810 | 0.60254 |
| A6s, paired | 31.556 | 59.906 | -28.350 | 0.52676 |
Does a shared suit matter?
The hands cannot hold a suit in common here, which leaves a single case and a single number: 69.89% for AJs.
| Deals | Specific deals | Share of deals | AJs wins | Ties | A6s wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 66.464 | 6.857 | 26.679 | 69.893 |
How often this matchup comes up
Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average AJs takes back $139.78 of it, which is $39.78 more than it put in, and A6s takes back $60.22, $39.78 less than it put in.
In 1,000 deals of exactly this matchup, expect about 665 won outright by AJs, about 267 won outright by A6s and about 68 split.
The same matchup from the other side
Read it from the other side: A6s against AJs is the same matchup with the numbers swapped, so A6s holds 30.11% and AJs holds 69.89%. That address sends you back to this page.
Keep exploring
Open the calculator with AsJs against Ah6h 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
Nothing here is simulated. The 12 deals of AJs against A6s 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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