54s
39.39%
Wins 27.82%, ties 23.14%
64s
60.61%
Wins 49.04%, ties 23.14%
54s against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 54s | 27.821 | 23.142 | 49.037 | 39.392 |
| 64s | 49.037 | 23.142 | 27.821 | 60.608 |
The matchup is suited hands on both sides, 54s against 64s. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Split pots make up 23.14% of the boards, and both equity figures count them as half a win each.
Place 136 of 169 belongs to 54s and place 138 belongs to 64s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 54s | 5,717,000 | 4,755,000 | 10,076,000 |
| 64s | 10,076,000 | 4,755,000 | 5,717,000 |
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) |
|---|---|---|---|---|
| 54s | 0.650 | 3.594 | 2.039 | 1.539 |
| 64s | 1.539 | 2.039 | 3.594 | 0.650 |
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: 64s holds 62.15% on rainbow flops topped by a ten or better and 57.08% on monotone flops. 64s stays ahead on all five textures.
| Flop | Share of flops | 54s wins | Ties | 64s wins | 54s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 25.711 | 24.270 | 50.019 | 37.846 |
| Rainbow, nine or lower | 5.065 | 30.628 | 15.623 | 53.749 | 38.440 |
| Two-tone | 46.543 | 29.487 | 20.322 | 50.191 | 39.648 |
| Monotone | 5.215 | 33.867 | 18.104 | 48.029 | 42.919 |
| Paired | 17.333 | 23.853 | 32.745 | 43.402 | 40.226 |
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
A random hand would give 54s 41.45% and 64s 41.33%. Against each other the change is -2.06 points for 54s and +19.28 for 64s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 54s, all flops | 39.392 | 41.453 | -2.061 | 0.95028 |
| 54s, rainbow, ten or higher | 37.846 | 41.453 | -3.607 | 0.91299 |
| 54s, rainbow, nine or lower | 38.440 | 41.453 | -3.013 | 0.92732 |
| 54s, two-tone | 39.648 | 41.453 | -1.805 | 0.95646 |
| 54s, monotone | 42.919 | 41.453 | +1.466 | 1.03537 |
| 54s, paired | 40.226 | 41.453 | -1.227 | 0.97040 |
| 64s, all flops | 60.608 | 41.333 | +19.275 | 1.46633 |
| 64s, rainbow, ten or higher | 62.154 | 41.333 | +20.821 | 1.50374 |
| 64s, rainbow, nine or lower | 61.560 | 41.333 | +20.227 | 1.48937 |
| 64s, two-tone | 60.352 | 41.333 | +19.019 | 1.46014 |
| 64s, monotone | 57.081 | 41.333 | +15.748 | 1.38100 |
| 64s, paired | 59.774 | 41.333 | +18.441 | 1.44616 |
Does a shared suit matter?
Every legal deal of 54s against 64s leaves the hands with no suit in common, so the suit split does not apply here.
| Deals | Specific deals | Share of deals | 54s wins | Ties | 64s wins | 54s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 27.821 | 23.142 | 49.037 | 39.392 |
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
Say each player puts $100 in before the flop, making a $200 pot. On average 64s takes back $121.22 of it, which is $21.22 more than it put in, and 54s takes back $78.78, $21.22 less than it put in.
In 1,000 deals of exactly this matchup, expect about 490 won outright by 64s, about 278 won outright by 54s and about 232 split.
The same matchup from the other side
The mirror image, 64s against 54s, is 60.61% to 39.39%, and its address redirects to this page.
Keep exploring
Try 5s4s against 6h4h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
Method: exact enumeration. The 12 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.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session