A7s
59.67%
Wins 59.44%, ties 0.46%
86s
40.33%
Wins 40.10%, ties 0.46%
A7s against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 59.443 | 0.459 | 40.098 | 59.672 |
| 86s | 40.098 | 0.459 | 59.443 | 40.328 |
This is a contest between two suited hands, A7s and 86s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A7s is ahead, but 86s is far from dead: it takes 401 of every 1,000 deals outright. The tie share is 0.46%: on those boards the pot is chopped and neither hand wins outright.
The hand ranking puts A7s at 24 and 86s at 110 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 16,286,000 | 126,000 | 10,986,000 |
| 86s | 10,986,000 | 126,000 | 16,286,000 |
The board total is exact, 16 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A7s | 1.480 | 1.682 | 2.494 | 0.676 |
| 86s | 0.676 | 2.494 | 1.682 | 1.480 |
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
A7s prefers paired flops, where it holds 64.02%, and likes low rainbow flops (nine high or lower) least, where it holds 41.44%. 86s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | A7s wins | Ties | 86s wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 63.283 | 0.189 | 36.528 | 63.378 |
| Rainbow, nine or lower | 5.689 | 41.243 | 0.390 | 58.367 | 41.438 |
| Two-tone | 46.727 | 58.517 | 0.209 | 41.274 | 58.621 |
| Monotone | 5.273 | 55.137 | 3.387 | 41.476 | 56.830 |
| Paired | 17.091 | 63.693 | 0.661 | 35.646 | 64.024 |
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
Against one random hand instead, A7s holds 60.98% and 86s holds 46.24%. Facing each other changes that by -1.31 points for A7s and -5.91 points for 86s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 59.672 | 60.984 | -1.312 | 0.97849 |
| A7s, rainbow, ten or higher | 63.378 | 60.984 | +2.394 | 1.03926 |
| A7s, rainbow, nine or lower | 41.438 | 60.984 | -19.546 | 0.67949 |
| A7s, two-tone | 58.621 | 60.984 | -2.363 | 0.96125 |
| A7s, monotone | 56.830 | 60.984 | -4.154 | 0.93188 |
| A7s, paired | 64.024 | 60.984 | +3.040 | 1.04985 |
| 86s, all flops | 40.328 | 46.243 | -5.915 | 0.87209 |
| 86s, rainbow, ten or higher | 36.622 | 46.243 | -9.621 | 0.79195 |
| 86s, rainbow, nine or lower | 58.562 | 46.243 | +12.319 | 1.26640 |
| 86s, two-tone | 41.379 | 46.243 | -4.864 | 0.89482 |
| 86s, monotone | 43.170 | 46.243 | -3.073 | 0.93355 |
| 86s, paired | 35.976 | 46.243 | -10.267 | 0.77798 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (A7s at 61.81%) and 12 do not (58.96%). A7s does better with a shared suit, by 2.85 points.
| Deals | Specific deals | Share of deals | A7s wins | Ties | 86s wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 61.541 | 0.531 | 37.928 | 61.807 |
| No shared suit | 12 | 75.00 | 58.743 | 0.435 | 40.822 | 58.961 |
How often this matchup comes up
This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).
A worked example
Take a $200 pot built from $100 each. A7s' equity of 59.67% is worth $119.34, a $19.34 edge, and 86s' 40.33% is worth $80.66, which is $19.34 under its stake.
Think in thousands: about 594 of 1,000 go to A7s, about 401 go to 86s, and about 5 are chopped.
The same matchup from the other side
86s versus A7s is this same page seen from the other hand: 40.33% for 86s, 59.67% for A7s.
Keep exploring
Try As7s against 8h6h 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
Each figure is a complete count over boards. Take the 16 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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