55
48.93%
Wins 48.45%, ties 0.97%
T8s
51.07%
Wins 50.58%, ties 0.97%
55 against T8s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 55 | 48.451 | 0.967 | 50.582 | 48.934 |
| T8s | 50.582 | 0.967 | 48.451 | 51.066 |
Here a pocket pair (55) meets a suited hand (T8s). 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.
This is close to even money, with T8s a little ahead. 0.97% of boards are ties, so the equity of each hand is its win rate plus half of that.
55 ranks number 27 of 169 starting hands, and T8s ranks number 73, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 55 | 19,911,000 | 397,000 | 20,787,000 |
| T8s | 20,787,000 | 397,000 | 19,911,000 |
24 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) |
|---|---|---|---|---|
| 55 | 0.958 | 2.064 | 1.977 | 1.044 |
| T8s | 1.044 | 1.977 | 2.064 | 0.958 |
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
The flop changes the picture. T8s does best on two-tone flops, at 52.83%, and worst on low rainbow flops (nine high or lower), at 45.51%. The lead reverses on low rainbow flops (nine high or lower) and paired flops: there 55 is the favorite even though T8s is ahead overall.
| Flop | Share of flops | 55 wins | Ties | T8s wins | 55 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 47.580 | 0.574 | 51.846 | 47.867 |
| Rainbow, nine or lower | 5.689 | 54.236 | 0.518 | 45.246 | 54.495 |
| Two-tone | 46.545 | 46.900 | 0.538 | 52.562 | 47.169 |
| Monotone | 5.212 | 47.714 | 2.794 | 49.492 | 49.111 |
| Paired | 17.334 | 52.206 | 2.291 | 45.503 | 53.351 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Each hand has a baseline against a random hand: 60.33% for 55, 52.33% for T8s. Here the change is -11.40 and -1.26 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 55, all flops | 48.934 | 60.325 | -11.391 | 0.81117 |
| 55, rainbow, ten or higher | 47.867 | 60.325 | -12.458 | 0.79349 |
| 55, rainbow, nine or lower | 54.495 | 60.325 | -5.830 | 0.90336 |
| 55, two-tone | 47.169 | 60.325 | -13.156 | 0.78191 |
| 55, monotone | 49.111 | 60.325 | -11.214 | 0.81411 |
| 55, paired | 53.351 | 60.325 | -6.974 | 0.88439 |
| T8s, all flops | 51.066 | 52.334 | -1.268 | 0.97577 |
| T8s, rainbow, ten or higher | 52.133 | 52.334 | -0.201 | 0.99616 |
| T8s, rainbow, nine or lower | 45.505 | 52.334 | -6.829 | 0.86951 |
| T8s, two-tone | 52.831 | 52.334 | +0.497 | 1.00950 |
| T8s, monotone | 50.889 | 52.334 | -1.445 | 0.97239 |
| T8s, paired | 46.649 | 52.334 | -5.685 | 0.89137 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common T8s has 50.92% equity, and with none in common it has 51.21%. T8s does better with no shared suit, by 0.29 points.
| Deals | Specific deals | Share of deals | 55 wins | Ties | T8s wins | 55 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 48.573 | 1.007 | 50.420 | 49.077 |
| No shared suit | 12 | 50.00 | 48.329 | 0.927 | 50.744 | 48.792 |
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
With $100 from each side, the $200 pot is split on average as $102.14 for T8s and $97.86 for 55; the first side gains $2.14 per all-in and the second gives up $2.14.
Think in thousands: about 506 of 1,000 go to T8s, about 484 go to 55, and about 10 are chopped.
The same matchup from the other side
If you came looking for T8s against 55, the numbers are the same with the hands swapped: 51.07% and 48.93%.
Keep exploring
Open the calculator with 5s5h against Td8d 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
Method: exact enumeration. The 24 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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