55
50.59%
Wins 49.86%, ties 1.45%
76s
49.41%
Wins 48.69%, ties 1.45%
55 against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 55 | 49.862 | 1.454 | 48.684 | 50.589 |
| 76s | 48.684 | 1.454 | 49.862 | 49.411 |
We compare a pocket pair with a suited hand. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
With only 1.18 points between them, the board decides this matchup far more than the cards in hand. A split pot comes up on 1.45% of boards, so the wins and the equity differ by half of that.
For context, 55 sits at number 27 of 169 starting hands and 76s at number 115 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 55 | 20,491,000 | 598,000 | 20,007,000 |
| 76s | 20,007,000 | 598,000 | 20,491,000 |
Exact total: 24 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 55 | 1.024 | 2.006 | 2.054 | 0.977 |
| 76s | 0.977 | 2.054 | 2.006 | 1.024 |
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
Paired flops are the best for 55 (56.06%); low rainbow flops (nine high or lower) are the worst (42.54%). The lead reverses on low rainbow flops (nine high or lower), two-tone flops and monotone flops: there 76s is the favorite even though 55 is ahead overall.
| Flop | Share of flops | 55 wins | Ties | 76s wins | 55 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 51.813 | 0.891 | 47.296 | 52.258 |
| Rainbow, nine or lower | 5.065 | 42.292 | 0.501 | 57.207 | 42.542 |
| Two-tone | 46.545 | 48.191 | 0.784 | 51.025 | 48.583 |
| Monotone | 5.212 | 48.339 | 3.002 | 48.659 | 49.840 |
| Paired | 17.334 | 54.111 | 3.903 | 41.986 | 56.062 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Against one random hand instead, 55 holds 60.33% and 76s holds 45.37%. Facing each other changes that by -9.74 points for 55 and +4.04 points for 76s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 55, all flops | 50.589 | 60.325 | -9.736 | 0.83861 |
| 55, rainbow, ten or higher | 52.258 | 60.325 | -8.067 | 0.86627 |
| 55, rainbow, nine or lower | 42.542 | 60.325 | -17.783 | 0.70521 |
| 55, two-tone | 48.583 | 60.325 | -11.742 | 0.80535 |
| 55, monotone | 49.840 | 60.325 | -10.485 | 0.82619 |
| 55, paired | 56.062 | 60.325 | -4.263 | 0.92933 |
| 76s, all flops | 49.411 | 45.372 | +4.039 | 1.08902 |
| 76s, rainbow, ten or higher | 47.742 | 45.372 | +2.370 | 1.05223 |
| 76s, rainbow, nine or lower | 57.458 | 45.372 | +12.086 | 1.26638 |
| 76s, two-tone | 51.417 | 45.372 | +6.045 | 1.13323 |
| 76s, monotone | 50.160 | 45.372 | +4.788 | 1.10553 |
| 76s, paired | 43.938 | 45.372 | -1.434 | 0.96839 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, 55 has 50.68%; looking only at deals where they do not, 50.49%. The two rows differ by only 0.19 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | 55 wins | Ties | 76s wins | 55 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 49.938 | 1.491 | 48.571 | 50.684 |
| No shared suit | 12 | 50.00 | 49.786 | 1.417 | 48.797 | 50.494 |
How often this matchup comes up
This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average 55 takes back $101.18 of it, which is $1.18 more than it put in, and 76s takes back $98.82, $1.18 less than it put in.
Think in thousands: about 499 of 1,000 go to 55, about 487 go to 76s, and about 14 are chopped.
The same matchup from the other side
One page covers both views. From 76s' side the equity is 49.41%, and from 55's side it is 50.59%.
Keep exploring
Open the calculator with 5s5h against 7d6d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Each figure is a complete count over boards. Take the 24 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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