65s
61.53%
Wins 50.01%, ties 23.05%
54s
38.47%
Wins 26.94%, ties 23.05%
65s against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 65s | 50.005 | 23.048 | 26.947 | 61.529 |
| 54s | 26.947 | 23.048 | 50.005 | 38.471 |
Each side holds one of the suited hands: 65s and 54s. 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. Ties are 23.05% of the outcomes here; each tied board gives both hands half the pot.
Ranked by equity against a random hand, 65s is number 128 of the 169 starting hands and 54s is number 136.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 65s | 10,275,000 | 4,736,000 | 5,537,000 |
| 54s | 5,537,000 | 4,736,000 | 10,275,000 |
The board total is exact, 12 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 65s | 1.599 | 2.000 | 3.711 | 0.625 |
| 54s | 0.625 | 3.711 | 2.000 | 1.599 |
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 65s is strongest on low rainbow flops (nine high or lower) (63.77%) and weakest on monotone flops (57.80%). 65s stays ahead on all five textures.
| Flop | Share of flops | 65s wins | Ties | 54s wins | 65s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 50.866 | 23.991 | 25.143 | 62.861 |
| Rainbow, nine or lower | 5.065 | 55.933 | 15.680 | 28.387 | 63.773 |
| Two-tone | 46.543 | 51.125 | 20.197 | 28.678 | 61.224 |
| Monotone | 5.215 | 48.712 | 18.179 | 33.109 | 57.801 |
| Paired | 17.333 | 44.369 | 32.915 | 22.716 | 60.827 |
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
Compared with a random opponent, this matchup shifts 65s from 43.13% by +18.40 points and 54s from 41.45% by -2.98 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 65s, all flops | 61.529 | 43.133 | +18.396 | 1.42649 |
| 65s, rainbow, ten or higher | 62.861 | 43.133 | +19.728 | 1.45738 |
| 65s, rainbow, nine or lower | 63.773 | 43.133 | +20.640 | 1.47852 |
| 65s, two-tone | 61.224 | 43.133 | +18.091 | 1.41942 |
| 65s, monotone | 57.801 | 43.133 | +14.668 | 1.34006 |
| 65s, paired | 60.827 | 43.133 | +17.694 | 1.41022 |
| 54s, all flops | 38.471 | 41.453 | -2.982 | 0.92806 |
| 54s, rainbow, ten or higher | 37.139 | 41.453 | -4.314 | 0.89593 |
| 54s, rainbow, nine or lower | 36.227 | 41.453 | -5.226 | 0.87393 |
| 54s, two-tone | 38.776 | 41.453 | -2.677 | 0.93542 |
| 54s, monotone | 42.199 | 41.453 | +0.746 | 1.01800 |
| 54s, paired | 39.173 | 41.453 | -2.280 | 0.94500 |
Does a shared suit matter?
For this pair the shared-suit row is empty: the two hands cannot both own a card of one suit without reusing a card.
| Deals | Specific deals | Share of deals | 65s wins | Ties | 54s wins | 65s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 50.005 | 23.048 | 26.947 | 61.529 |
How often this matchup comes up
Counting specific cards, 65s against 54s appears in 12 of the 1,624,350 ordered heads-up deals (0.0007%), and in 24 when the seats are swapped too (0.0015%).
A worked example
With $100 from each side, the $200 pot is split on average as $123.06 for 65s and $76.94 for 54s; the first side gains $23.06 per all-in and the second gives up $23.06.
Scaled to 1,000 deals, that is roughly 500 wins for 65s, 269 for 54s and 231 chopped pots.
The same matchup from the other side
The mirror image, 54s against 65s, is 38.47% to 61.53%, and its address redirects to this page.
Keep exploring
Open the calculator with 6s5s against 5h4h 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
This is an exact count with no sampling. For the 12 ways to deal one 65s and one 54s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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