77
81.72%
Wins 79.78%, ties 3.89%
76s
18.28%
Wins 16.33%, ties 3.89%
77 against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 79.779 | 3.886 | 16.335 | 81.722 |
| 76s | 16.335 | 3.886 | 79.779 | 18.278 |
77 is a pocket pair and 76s is 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.
This is one of the lopsided matchups: 76s wins only 16.33% of the boards outright. Split pots make up 3.89% of the boards, and both equity figures count them as half a win each.
Among the 169 starting hands, 77 is number 9 and 76s is number 115 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 16,393,000 | 798,000 | 3,356,000 |
| 76s | 3,356,000 | 798,000 | 16,393,000 |
The total is exact: 12 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 | 4.471 | 1.253 | 6.122 | 0.224 |
| 76s | 0.224 | 6.122 | 1.253 | 4.471 |
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
Split by what the flop looks like, 77 peaks at 86.99% on rainbow flops topped by a ten or better and bottoms out at 73.66% on monotone flops. 77 stays ahead on all five textures.
| Flop | Share of flops | 77 wins | Ties | 76s wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.786 | 85.607 | 2.760 | 11.633 | 86.987 |
| Rainbow, nine or lower | 4.995 | 70.494 | 6.385 | 23.121 | 73.687 |
| Two-tone | 46.236 | 78.865 | 3.110 | 18.025 | 80.420 |
| Monotone | 5.152 | 71.787 | 3.736 | 24.477 | 73.655 |
| Paired | 17.831 | 78.630 | 6.869 | 14.501 | 82.064 |
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
The table below sets each hand against its own random-hand baseline: a change of +15.48 points for 77, from 66.24%, and -27.09 for 76s, from 45.37%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 81.722 | 66.236 | +15.486 | 1.23380 |
| 77, rainbow, ten or higher | 86.987 | 66.236 | +20.751 | 1.31329 |
| 77, rainbow, nine or lower | 73.687 | 66.236 | +7.451 | 1.11249 |
| 77, two-tone | 80.420 | 66.236 | +14.184 | 1.21414 |
| 77, monotone | 73.655 | 66.236 | +7.419 | 1.11201 |
| 77, paired | 82.064 | 66.236 | +15.828 | 1.23896 |
| 76s, all flops | 18.278 | 45.372 | -27.094 | 0.40285 |
| 76s, rainbow, ten or higher | 13.013 | 45.372 | -32.359 | 0.28681 |
| 76s, rainbow, nine or lower | 26.313 | 45.372 | -19.059 | 0.57994 |
| 76s, two-tone | 19.580 | 45.372 | -25.792 | 0.43154 |
| 76s, monotone | 26.345 | 45.372 | -19.027 | 0.58064 |
| 76s, paired | 17.936 | 45.372 | -27.436 | 0.39531 |
Does a shared suit matter?
77 and 76s never overlap in suit in a legal deal, so the whole matchup sits in the no-shared-suit row.
| Deals | Specific deals | Share of deals | 77 wins | Ties | 76s wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 79.779 | 3.886 | 16.335 | 81.722 |
How often this matchup comes up
This page stands for 12 specific-card matchups (0.0007% of 1,624,350 ordered deals), or 24 once you count the seats both ways (0.0015%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, 77's average share is $163.44 (a gain of $63.44) and 76s' is $36.56 (a loss of $63.44).
Out of 1,000 deals you should see around 798 outright wins for 77, 163 for 76s, and 39 split pots.
The same matchup from the other side
One page covers both views. From 76s' side the equity is 18.28%, and from 77's side it is 81.72%.
Keep exploring
7s7h against 7d6d 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.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session