65s
62.05%
Wins 50.60%, ties 22.91%
53s
37.95%
Wins 26.49%, ties 22.91%
65s against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 65s | 50.595 | 22.914 | 26.491 | 62.052 |
| 53s | 26.491 | 22.914 | 50.595 | 37.948 |
Each side holds one of the suited hands: 65s and 53s. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
65s is ahead, but 53s is far from dead: it takes 265 of every 1,000 deals outright. Split pots make up 22.91% of the boards, and both equity figures count them as half a win each.
Among the 169 starting hands, 65s is number 128 and 53s is number 146 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 65s | 10,396,000 | 4,708,000 | 5,443,000 |
| 53s | 5,443,000 | 4,708,000 | 10,396,000 |
12 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) |
|---|---|---|---|---|
| 65s | 1.635 | 1.976 | 3.775 | 0.612 |
| 53s | 0.612 | 3.775 | 1.976 | 1.635 |
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
If you know the kind of flop that came, the numbers shift: 65s holds 65.65% on low rainbow flops (nine high or lower) and 58.21% on monotone flops. 65s stays ahead on all five textures.
| Flop | Share of flops | 65s wins | Ties | 53s wins | 65s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 51.271 | 23.860 | 24.869 | 63.201 |
| Rainbow, nine or lower | 5.065 | 57.934 | 15.439 | 26.627 | 65.654 |
| Two-tone | 46.543 | 51.721 | 20.060 | 28.219 | 61.751 |
| Monotone | 5.215 | 49.173 | 18.076 | 32.751 | 58.211 |
| Paired | 17.333 | 44.849 | 32.807 | 22.344 | 61.253 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Each hand has a baseline against a random hand: 43.13% for 65s, 39.69% for 53s. Here the change is +18.92 and -1.74 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 65s, all flops | 62.052 | 43.133 | +18.919 | 1.43862 |
| 65s, rainbow, ten or higher | 63.201 | 43.133 | +20.068 | 1.46526 |
| 65s, rainbow, nine or lower | 65.654 | 43.133 | +22.521 | 1.52213 |
| 65s, two-tone | 61.751 | 43.133 | +18.618 | 1.43164 |
| 65s, monotone | 58.211 | 43.133 | +15.078 | 1.34957 |
| 65s, paired | 61.253 | 43.133 | +18.120 | 1.42010 |
| 53s, all flops | 37.948 | 39.693 | -1.745 | 0.95604 |
| 53s, rainbow, ten or higher | 36.799 | 39.693 | -2.894 | 0.92709 |
| 53s, rainbow, nine or lower | 34.346 | 39.693 | -5.347 | 0.86529 |
| 53s, two-tone | 38.249 | 39.693 | -1.444 | 0.96362 |
| 53s, monotone | 41.789 | 39.693 | +2.096 | 1.05281 |
| 53s, paired | 38.747 | 39.693 | -0.946 | 0.97617 |
Does a shared suit matter?
These two classes cannot share a suit in any legal deal, so there is only one row to read: 65s holds 62.05% in every deal of this matchup.
| Deals | Specific deals | Share of deals | 65s wins | Ties | 53s wins | 65s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 50.595 | 22.914 | 26.491 | 62.052 |
How often this matchup comes up
The class pair covers 12 combinations of specific cards in a fixed seat order, 0.0007% of 1,624,350, and 24 (0.0015%) in either order.
A worked example
Take a $200 pot built from $100 each. 65s' equity of 62.05% is worth $124.10, a $24.10 edge, and 53s' 37.95% is worth $75.90, which is $24.10 under its stake.
Per 1,000 deals: 65s wins about 506, 53s wins about 265, and about 229 end in a split pot.
The same matchup from the other side
The reversed view, 53s against 65s, shows 37.95% for 53s and 62.05% for 65s. It is the same count, so it redirects here.
Keep exploring
6s5s against 5h3h 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 12 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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