77
67.37%
Wins 67.17%, ties 0.40%
A6s
32.63%
Wins 32.43%, ties 0.40%
77 against A6s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 67.168 | 0.396 | 32.436 | 67.366 |
| A6s | 32.436 | 0.396 | 67.168 | 32.634 |
77, a pocket pair, plays A6s, a suited hand. The pair sits between the other hand's two cards: one is higher and one is lower, so the pair is exposed to the higher card.
77 is well ahead, and A6s needs a specific kind of board to catch up. Ties are part of the picture: 0.40% of boards end in a split pot, and each side counts that as half a win.
In the ranking of all 169 starting hands, 77 is number 9 and A6s is number 31.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 27,603,000 | 163,000 | 13,330,000 |
| A6s | 13,330,000 | 163,000 | 27,603,000 |
The total is exact: 24 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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 | 2.064 | 1.489 | 3.083 | 0.484 |
| A6s | 0.484 | 3.083 | 1.489 | 2.064 |
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 77's equity moves by 17.91 points, from 63.27% on monotone flops to 81.18% on low rainbow flops (nine high or lower). 77 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 | 77 wins | Ties | A6s wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 66.695 | 0.208 | 33.097 | 66.799 |
| Rainbow, nine or lower | 5.689 | 80.930 | 0.508 | 18.562 | 81.184 |
| Two-tone | 46.545 | 66.014 | 0.243 | 33.743 | 66.135 |
| Monotone | 5.212 | 62.074 | 2.383 | 35.543 | 63.266 |
| Paired | 17.334 | 67.970 | 0.447 | 31.583 | 68.194 |
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
Start from the random-hand figures, 66.24% for 77 and 59.91% for A6s. This opponent changes them by +1.13 and -27.28 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 67.366 | 66.236 | +1.130 | 1.01706 |
| 77, rainbow, ten or higher | 66.799 | 66.236 | +0.563 | 1.00850 |
| 77, rainbow, nine or lower | 81.184 | 66.236 | +14.948 | 1.22568 |
| 77, two-tone | 66.135 | 66.236 | -0.101 | 0.99848 |
| 77, monotone | 63.266 | 66.236 | -2.970 | 0.95516 |
| 77, paired | 68.194 | 66.236 | +1.958 | 1.02956 |
| A6s, all flops | 32.634 | 59.906 | -27.272 | 0.54475 |
| A6s, rainbow, ten or higher | 33.201 | 59.906 | -26.705 | 0.55422 |
| A6s, rainbow, nine or lower | 18.816 | 59.906 | -41.090 | 0.31409 |
| A6s, two-tone | 33.865 | 59.906 | -26.041 | 0.56530 |
| A6s, monotone | 36.734 | 59.906 | -23.172 | 0.61319 |
| A6s, paired | 31.806 | 59.906 | -28.100 | 0.53093 |
Does a shared suit matter?
The suit split reads 67.65% for 77 with a shared suit and 67.09% without one. 77 does better with a shared suit, by 0.56 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | A6s wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 67.428 | 0.439 | 32.133 | 67.647 |
| No shared suit | 12 | 50.00 | 66.908 | 0.353 | 32.739 | 67.085 |
How often this matchup comes up
77 against A6s is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. 77 is worth $134.74 on average (+$34.74); A6s is worth $65.26 (-$34.74).
A thousand deals look like this: 77 takes 672, A6s takes 324, 4 are ties.
The same matchup from the other side
One page covers both views. From A6s' side the equity is 32.63%, and from 77's side it is 67.37%.
Keep exploring
The calculator link fills in 7s7h against Ad6d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Nothing here is simulated. The 24 deals of 77 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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