A6s
55.78%
Wins 55.56%, ties 0.46%
87s
44.22%
Wins 43.98%, ties 0.46%
A6s against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A6s | 55.555 | 0.458 | 43.987 | 55.784 |
| 87s | 43.987 | 0.458 | 55.555 | 44.216 |
A6s meets 87s, and both are suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are 0.46% of the outcomes here; each tied board gives both hands half the pot.
In the ranking of all 169 starting hands, A6s is number 31 and 87s is number 100.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A6s | 15,220,000 | 125,000 | 12,051,000 |
| 87s | 12,051,000 | 125,000 | 15,220,000 |
16 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) |
|---|---|---|---|---|
| A6s | 1.262 | 1.800 | 2.273 | 0.793 |
| 87s | 0.793 | 2.273 | 1.800 | 1.262 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
By flop texture, A6s' equity runs from 37.37% on low rainbow flops (nine high or lower) up to 61.64% on paired flops. A6s is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | A6s wins | Ties | 87s wins | A6s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 58.699 | 0.188 | 41.113 | 58.793 |
| Rainbow, nine or lower | 5.689 | 37.174 | 0.388 | 62.438 | 37.368 |
| Two-tone | 46.727 | 54.419 | 0.208 | 45.373 | 54.523 |
| Monotone | 5.273 | 51.768 | 3.388 | 44.844 | 53.462 |
| Paired | 17.091 | 61.308 | 0.661 | 38.031 | 61.638 |
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
Against one random hand instead, A6s holds 59.91% and 87s holds 47.94%. Facing each other changes that by -4.13 points for A6s and -3.72 points for 87s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A6s, all flops | 55.784 | 59.906 | -4.122 | 0.93119 |
| A6s, rainbow, ten or higher | 58.793 | 59.906 | -1.113 | 0.98142 |
| A6s, rainbow, nine or lower | 37.368 | 59.906 | -22.538 | 0.62378 |
| A6s, two-tone | 54.523 | 59.906 | -5.383 | 0.91014 |
| A6s, monotone | 53.462 | 59.906 | -6.444 | 0.89243 |
| A6s, paired | 61.638 | 59.906 | +1.732 | 1.02891 |
| 87s, all flops | 44.216 | 47.936 | -3.720 | 0.92240 |
| 87s, rainbow, ten or higher | 41.207 | 47.936 | -6.729 | 0.85963 |
| 87s, rainbow, nine or lower | 62.632 | 47.936 | +14.696 | 1.30658 |
| 87s, two-tone | 45.477 | 47.936 | -2.459 | 0.94870 |
| 87s, monotone | 46.538 | 47.936 | -1.398 | 0.97084 |
| 87s, paired | 38.362 | 47.936 | -9.574 | 0.80028 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, A6s has 57.55%; looking only at deals where they do not, 55.19%. A6s does better with a shared suit, by 2.36 points.
| Deals | Specific deals | Share of deals | A6s wins | Ties | 87s wins | A6s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 57.287 | 0.531 | 42.182 | 57.552 |
| No shared suit | 12 | 75.00 | 54.977 | 0.434 | 44.589 | 55.194 |
How often this matchup comes up
A6s against 87s 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
Say each player puts $100 in before the flop, making a $200 pot. On average A6s takes back $111.56 of it, which is $11.56 more than it put in, and 87s takes back $88.44, $11.56 less than it put in.
Scaled to 1,000 deals, that is roughly 555 wins for A6s, 440 for 87s and 5 chopped pots.
The same matchup from the other side
One page covers both views. From 87s' side the equity is 44.22%, and from A6s' side it is 55.78%.
Keep exploring
As6s against 8h7h is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
We counted every case. Each suit pattern of the 16 specific A6s against 87s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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