77
53.72%
Wins 53.52%, ties 0.39%
A8s
46.28%
Wins 46.09%, ties 0.39%
77 against A8s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 53.522 | 0.390 | 46.088 | 53.717 |
| A8s | 46.088 | 0.390 | 53.522 | 46.283 |
77, a pocket pair, plays A8s, a suited hand. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
This is close to even money, with 77 a little ahead. Of every 100 boards, about 0.39 are split pots, and the equity figures already include them.
For context, 77 sits at number 9 of 169 starting hands and A8s at number 21 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 21,995,000 | 160,000 | 18,940,000 |
| A8s | 18,940,000 | 160,000 | 21,995,000 |
24 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) |
|---|---|---|---|---|
| 77 | 1.161 | 1.868 | 2.170 | 0.862 |
| A8s | 0.862 | 2.170 | 1.868 | 1.161 |
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
If you know the kind of flop that came, the numbers shift: 77 holds 61.28% on low rainbow flops (nine high or lower) and 51.96% on two-tone flops. 77 stays ahead on all five textures.
| Flop | Share of flops | 77 wins | Ties | A8s wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 52.683 | 0.217 | 47.100 | 52.792 |
| Rainbow, nine or lower | 5.689 | 61.043 | 0.478 | 38.479 | 61.282 |
| Two-tone | 46.545 | 51.833 | 0.249 | 47.918 | 51.957 |
| Monotone | 5.212 | 51.315 | 2.389 | 46.296 | 52.510 |
| Paired | 17.334 | 57.473 | 0.394 | 42.133 | 57.670 |
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 77 from 66.24% by -12.52 points and A8s from 61.94% by -15.66 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 53.717 | 66.236 | -12.519 | 0.81099 |
| 77, rainbow, ten or higher | 52.792 | 66.236 | -13.444 | 0.79703 |
| 77, rainbow, nine or lower | 61.282 | 66.236 | -4.954 | 0.92521 |
| 77, two-tone | 51.957 | 66.236 | -14.279 | 0.78442 |
| 77, monotone | 52.510 | 66.236 | -13.726 | 0.79277 |
| 77, paired | 57.670 | 66.236 | -8.566 | 0.87067 |
| A8s, all flops | 46.283 | 61.944 | -15.661 | 0.74717 |
| A8s, rainbow, ten or higher | 47.208 | 61.944 | -14.736 | 0.76211 |
| A8s, rainbow, nine or lower | 38.718 | 61.944 | -23.226 | 0.62505 |
| A8s, two-tone | 48.043 | 61.944 | -13.901 | 0.77559 |
| A8s, monotone | 47.490 | 61.944 | -14.454 | 0.76666 |
| A8s, paired | 42.330 | 61.944 | -19.614 | 0.68336 |
Does a shared suit matter?
Split by suits, the deals give 77 53.89% when the hands overlap in a suit and 53.55% when they do not. 77 does better with a shared suit, by 0.34 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | A8s wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 53.672 | 0.432 | 45.896 | 53.888 |
| No shared suit | 12 | 50.00 | 53.372 | 0.349 | 46.279 | 53.546 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 24 are 77 in one seat and A8s in the other (0.0015%); with the seats swapped too, 48 (0.0030%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average 77 takes back $107.44 of it, which is $7.44 more than it put in, and A8s takes back $92.56, $7.44 less than it put in.
A thousand deals look like this: 77 takes 535, A8s takes 461, 4 are ties.
The same matchup from the other side
A8s versus 77 is this same page seen from the other hand: 46.28% for A8s, 53.72% for 77.
Keep exploring
Try 7s7h against Ad8d 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
Nothing here is simulated. The 24 deals of 77 against A8s 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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