77
60.76%
Wins 59.57%, ties 2.40%
87s
39.24%
Wins 38.03%, ties 2.40%
77 against 87s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 59.565 | 2.397 | 38.038 | 60.763 |
| 87s | 38.038 | 2.397 | 59.565 | 39.237 |
We compare a pocket pair with a suited hand. The pair already holds one of the other hand's ranks, and that overlap cuts down the cards the other hand can pair with.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are 2.40% of the outcomes here; each tied board gives both hands half the pot.
Place 9 of 169 belongs to 77 and place 100 belongs to 87s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 12,239,000 | 493,000 | 7,816,000 |
| 87s | 7,816,000 | 493,000 | 12,239,000 |
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) |
|---|---|---|---|---|
| 77 | 1.549 | 1.679 | 2.629 | 0.646 |
| 87s | 0.646 | 2.629 | 1.679 | 1.549 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
The flop changes the picture. 77 does best on paired flops, at 66.48%, and worst on low rainbow flops (nine high or lower), at 49.26%. 87s is ahead on low rainbow flops (nine high or lower), even though it trails 77 when every flop is counted.
| Flop | Share of flops | 77 wins | Ties | 87s wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.786 | 62.744 | 1.844 | 35.412 | 63.666 |
| Rainbow, nine or lower | 4.995 | 46.908 | 4.695 | 48.397 | 49.256 |
| Two-tone | 46.236 | 57.407 | 2.144 | 40.449 | 58.479 |
| Monotone | 5.152 | 56.588 | 3.023 | 40.389 | 58.099 |
| Paired | 17.831 | 64.966 | 3.030 | 32.004 | 66.481 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Against one random hand instead, 77 holds 66.24% and 87s holds 47.94%. Facing each other changes that by -5.48 points for 77 and -8.70 points for 87s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 60.763 | 66.236 | -5.473 | 0.91737 |
| 77, rainbow, ten or higher | 63.666 | 66.236 | -2.570 | 0.96120 |
| 77, rainbow, nine or lower | 49.256 | 66.236 | -16.980 | 0.74364 |
| 77, two-tone | 58.479 | 66.236 | -7.757 | 0.88289 |
| 77, monotone | 58.099 | 66.236 | -8.137 | 0.87715 |
| 77, paired | 66.481 | 66.236 | +0.245 | 1.00370 |
| 87s, all flops | 39.237 | 47.936 | -8.699 | 0.81853 |
| 87s, rainbow, ten or higher | 36.334 | 47.936 | -11.602 | 0.75797 |
| 87s, rainbow, nine or lower | 50.744 | 47.936 | +2.808 | 1.05858 |
| 87s, two-tone | 41.521 | 47.936 | -6.415 | 0.86618 |
| 87s, monotone | 41.901 | 47.936 | -6.035 | 0.87410 |
| 87s, paired | 33.519 | 47.936 | -14.417 | 0.69924 |
Does a shared suit matter?
A shared suit is impossible for this matchup, so 77's 60.76% is the answer for every suit pattern.
| Deals | Specific deals | Share of deals | 77 wins | Ties | 87s wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 59.565 | 2.397 | 38.038 | 60.763 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 12 are 77 in one seat and 87s in the other (0.0007%); with the seats swapped too, 24 (0.0015%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average 77 takes back $121.52 of it, which is $21.52 more than it put in, and 87s takes back $78.48, $21.52 less than it put in.
In 1,000 deals of exactly this matchup, expect about 596 won outright by 77, about 380 won outright by 87s and about 24 split.
The same matchup from the other side
The mirror image, 87s against 77, is 39.24% to 60.76%, and its address redirects to this page.
Keep exploring
7s7h against 8d7d 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 12 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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