77
81.24%
Wins 80.55%, ties 1.39%
55
18.76%
Wins 18.06%, ties 1.39%
77 against 55: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 80.546 | 1.385 | 18.069 | 81.238 |
| 55 | 18.069 | 1.385 | 80.546 | 18.762 |
77 meets 55, and both are pocket pairs. Two pairs against each other is a one-way street: the lower pair needs one of its two remaining cards.
77 is a big favorite here before anyone sees a flop. A split pot comes up on 1.39% of boards, so the wins and the equity differ by half of that.
By strength against a random hand, 77 holds place 9 of 169 and 55 holds place 27.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 49,651,000 | 854,000 | 11,138,000 |
| 55 | 11,138,000 | 854,000 | 49,651,000 |
The board total is exact, 36 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) |
|---|---|---|---|---|
| 77 | 4.330 | 1.242 | 5.534 | 0.231 |
| 55 | 0.231 | 5.534 | 1.242 | 4.330 |
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
Across the five flop textures 77's equity moves by 11.74 points, from 73.45% on low rainbow flops (nine high or lower) to 85.19% on paired flops. 77 stays ahead on all five textures.
| Flop | Share of flops | 77 wins | Ties | 55 wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 82.126 | 0.864 | 17.010 | 82.558 |
| Rainbow, nine or lower | 5.065 | 73.181 | 0.531 | 26.288 | 73.447 |
| Two-tone | 46.363 | 80.066 | 0.795 | 19.139 | 80.463 |
| Monotone | 5.152 | 74.621 | 2.337 | 23.042 | 75.789 |
| Paired | 17.576 | 83.349 | 3.673 | 12.978 | 85.186 |
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
A random hand would give 77 66.24% and 55 60.33%. Against each other the change is +15.00 points for 77 and -41.57 for 55.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 81.238 | 66.236 | +15.002 | 1.22649 |
| 77, rainbow, ten or higher | 82.558 | 66.236 | +16.322 | 1.24642 |
| 77, rainbow, nine or lower | 73.447 | 66.236 | +7.211 | 1.10887 |
| 77, two-tone | 80.463 | 66.236 | +14.227 | 1.21479 |
| 77, monotone | 75.789 | 66.236 | +9.553 | 1.14423 |
| 77, paired | 85.186 | 66.236 | +18.950 | 1.28610 |
| 55, all flops | 18.762 | 60.325 | -41.563 | 0.31102 |
| 55, rainbow, ten or higher | 17.442 | 60.325 | -42.883 | 0.28913 |
| 55, rainbow, nine or lower | 26.553 | 60.325 | -33.772 | 0.44017 |
| 55, two-tone | 19.537 | 60.325 | -40.788 | 0.32386 |
| 55, monotone | 24.211 | 60.325 | -36.114 | 0.40134 |
| 55, paired | 14.814 | 60.325 | -45.511 | 0.24557 |
Does a shared suit matter?
Split by suits, the deals give 77 81.37% when the hands overlap in a suit and 80.56% when they do not. 77 does better with a shared suit, by 0.81 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | 55 wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 30 | 83.33 | 80.675 | 1.399 | 17.926 | 81.374 |
| No shared suit | 6 | 16.67 | 79.903 | 1.311 | 18.786 | 80.559 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 36 are 77 in one seat and 55 in the other (0.0022%); with the seats swapped too, 72 (0.0044%).
A worked example
With $100 from each side, the $200 pot is split on average as $162.48 for 77 and $37.52 for 55; the first side gains $62.48 per all-in and the second gives up $62.48.
A thousand deals look like this: 77 takes 805, 55 takes 181, 14 are ties.
The same matchup from the other side
Read it from the other side: 55 against 77 is the same matchup with the numbers swapped, so 55 holds 18.76% and 77 holds 81.24%. That address sends you back to this page.
Keep exploring
7s7h against 5d5c 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
Each figure is a complete count over boards. Take the 36 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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