64s
57.66%
Wins 51.72%, ties 11.88%
53s
42.34%
Wins 36.40%, ties 11.88%
64s against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 64s | 51.719 | 11.875 | 36.406 | 57.656 |
| 53s | 36.406 | 11.875 | 51.719 | 42.344 |
Here suited hands face each other, 64s on one side and 53s on the other. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
64s is ahead, but 53s is far from dead: it takes 364 of every 1,000 deals outright. Ties are 11.88% of the outcomes here; each tied board gives both hands half the pot.
Among the 169 starting hands, 64s is number 138 and 53s is number 146 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 64s | 14,169,000 | 3,253,000 | 9,974,000 |
| 53s | 9,974,000 | 3,253,000 | 14,169,000 |
Exact total: 16 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) |
|---|---|---|---|---|
| 64s | 1.362 | 1.934 | 2.747 | 0.734 |
| 53s | 0.734 | 2.747 | 1.934 | 1.362 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Across the five flop textures 64s' equity moves by 3.32 points, from 56.60% on paired flops to 59.92% on low rainbow flops (nine high or lower). 64s stays ahead on all five textures.
| Flop | Share of flops | 64s wins | Ties | 53s wins | 64s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 51.675 | 12.491 | 35.834 | 57.920 |
| Rainbow, nine or lower | 5.065 | 58.719 | 2.398 | 38.883 | 59.918 |
| Two-tone | 46.727 | 53.056 | 9.419 | 37.525 | 57.766 |
| Monotone | 5.273 | 51.821 | 9.670 | 38.509 | 56.656 |
| Paired | 17.091 | 46.022 | 21.148 | 32.830 | 56.596 |
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
How much does the opponent matter? Compared with its random-hand 41.33%, 64s changes by +16.33 points, and 53s, from 39.69%, by +2.65.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 64s, all flops | 57.656 | 41.333 | +16.323 | 1.39491 |
| 64s, rainbow, ten or higher | 57.920 | 41.333 | +16.587 | 1.40130 |
| 64s, rainbow, nine or lower | 59.918 | 41.333 | +18.585 | 1.44964 |
| 64s, two-tone | 57.766 | 41.333 | +16.433 | 1.39758 |
| 64s, monotone | 56.656 | 41.333 | +15.323 | 1.37072 |
| 64s, paired | 56.596 | 41.333 | +15.263 | 1.36927 |
| 53s, all flops | 42.344 | 39.693 | +2.651 | 1.06679 |
| 53s, rainbow, ten or higher | 42.080 | 39.693 | +2.387 | 1.06014 |
| 53s, rainbow, nine or lower | 40.082 | 39.693 | +0.389 | 1.00980 |
| 53s, two-tone | 42.234 | 39.693 | +2.541 | 1.06402 |
| 53s, monotone | 43.344 | 39.693 | +3.651 | 1.09198 |
| 53s, paired | 43.404 | 39.693 | +3.711 | 1.09349 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, 64s has 59.71%; looking only at deals where they do not, 56.97%. 64s does better with a shared suit, by 2.74 points.
| Deals | Specific deals | Share of deals | 64s wins | Ties | 53s wins | 64s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 53.316 | 12.785 | 33.899 | 59.709 |
| No shared suit | 12 | 75.00 | 51.186 | 11.572 | 37.242 | 56.972 |
How often this matchup comes up
Counting specific cards, 64s against 53s appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. 64s is worth $115.32 on average (+$15.32); 53s is worth $84.68 (-$15.32).
In 1,000 deals of exactly this matchup, expect about 517 won outright by 64s, about 364 won outright by 53s and about 119 split.
The same matchup from the other side
One page covers both views. From 53s' side the equity is 42.34%, and from 64s' side it is 57.66%.
Keep exploring
The calculator link fills in 6s4s against 5h3h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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