55
60.26%
Wins 58.53%, ties 3.45%
65s
39.74%
Wins 38.02%, ties 3.45%
55 against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 55 | 58.530 | 3.450 | 38.020 | 60.255 |
| 65s | 38.020 | 3.450 | 58.530 | 39.745 |
The first hand is a pocket pair; the second 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.
The lead is steady rather than large, and the flop still has plenty of say in who wins. The tie share is 3.45%: on those boards the pot is chopped and neither hand wins outright.
55 ranks number 27 of 169 starting hands, and 65s ranks number 128, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 55 | 12,027,000 | 709,000 | 7,812,000 |
| 65s | 7,812,000 | 709,000 | 12,027,000 |
Exact total: 12 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 | 1.516 | 1.709 | 2.630 | 0.660 |
| 65s | 0.660 | 2.630 | 1.709 | 1.516 |
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
Break the boards down by their first three cards and 55 is strongest on paired flops (64.84%) and weakest on low rainbow flops (nine high or lower) (43.11%). 55 is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | 55 wins | Ties | 65s wins | 55 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.786 | 63.538 | 1.993 | 34.469 | 64.534 |
| Rainbow, nine or lower | 4.995 | 39.466 | 7.297 | 53.237 | 43.114 |
| Two-tone | 46.236 | 56.890 | 2.665 | 40.445 | 58.223 |
| Monotone | 5.152 | 55.954 | 3.716 | 40.330 | 57.812 |
| Paired | 17.831 | 61.626 | 6.436 | 31.938 | 64.844 |
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, 43.13% for 65s. Here the change is -0.07 and -3.39 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 55, all flops | 60.255 | 60.325 | -0.070 | 0.99884 |
| 55, rainbow, ten or higher | 64.534 | 60.325 | +4.209 | 1.06977 |
| 55, rainbow, nine or lower | 43.114 | 60.325 | -17.211 | 0.71470 |
| 55, two-tone | 58.223 | 60.325 | -2.102 | 0.96516 |
| 55, monotone | 57.812 | 60.325 | -2.513 | 0.95834 |
| 55, paired | 64.844 | 60.325 | +4.519 | 1.07491 |
| 65s, all flops | 39.745 | 43.133 | -3.388 | 0.92145 |
| 65s, rainbow, ten or higher | 35.466 | 43.133 | -7.667 | 0.82225 |
| 65s, rainbow, nine or lower | 56.886 | 43.133 | +13.753 | 1.31885 |
| 65s, two-tone | 41.777 | 43.133 | -1.356 | 0.96856 |
| 65s, monotone | 42.188 | 43.133 | -0.945 | 0.97809 |
| 65s, paired | 35.156 | 43.133 | -7.977 | 0.81506 |
Does a shared suit matter?
There is no shared-suit case for this pair, since the cards they would need are already in the other hand. Every deal is a no-shared-suit deal.
| Deals | Specific deals | Share of deals | 55 wins | Ties | 65s wins | 55 equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 58.530 | 3.450 | 38.020 | 60.255 |
How often this matchup comes up
55 against 65s is made up of 12 specific-card matchups in one seat order, 0.0007% of the 1,624,350 ordered deals, and 24 counting both seat orders, 0.0015%.
A worked example
Put $100 each into a $200 pot and deal every board once: 55 averages $120.52 back, ahead of its $100 by $20.52, while 65s averages $79.48, short of its $100 by $20.52.
Out of 1,000 deals you should see around 585 outright wins for 55, 380 for 65s, and 35 split pots.
The same matchup from the other side
The reversed view, 65s against 55, shows 39.74% for 65s and 60.26% for 55. It is the same count, so it redirects here.
Keep exploring
5s5h against 6d5d 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
Nothing here is simulated. The 12 deals of 55 against 65s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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