75s
63.70%
Wins 54.91%, ties 17.60%
53s
36.30%
Wins 27.49%, ties 17.60%
75s against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 75s | 54.905 | 17.596 | 27.499 | 63.703 |
| 53s | 27.499 | 17.596 | 54.905 | 36.297 |
Each side holds one of the suited hands: 75s and 53s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Split pots make up 17.60% of the boards, and both equity figures count them as half a win each.
By strength against a random hand, 75s holds place 124 of 169 and 53s holds place 146.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 75s | 11,282,000 | 3,616,000 | 5,650,000 |
| 53s | 5,650,000 | 3,616,000 | 11,282,000 |
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) |
|---|---|---|---|---|
| 75s | 1.755 | 1.821 | 3.636 | 0.570 |
| 53s | 0.570 | 3.636 | 1.821 | 1.755 |
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
Across the five flop textures 75s' equity moves by 6.07 points, from 59.26% on monotone flops to 65.33% on rainbow flops topped by a ten or better. 75s stays ahead on all five textures.
| Flop | Share of flops | 75s wins | Ties | 53s wins | 75s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 56.447 | 17.772 | 25.781 | 65.333 |
| Rainbow, nine or lower | 5.065 | 58.953 | 11.875 | 29.172 | 64.891 |
| Two-tone | 46.543 | 55.637 | 15.140 | 29.223 | 63.207 |
| Monotone | 5.215 | 51.922 | 14.667 | 33.411 | 59.255 |
| Paired | 17.333 | 50.353 | 26.483 | 23.164 | 63.594 |
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
How much does the opponent matter? Compared with its random-hand 43.68%, 75s changes by +20.02 points, and 53s, from 39.69%, by -3.39.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 75s, all flops | 63.703 | 43.676 | +20.027 | 1.45854 |
| 75s, rainbow, ten or higher | 65.333 | 43.676 | +21.657 | 1.49586 |
| 75s, rainbow, nine or lower | 64.891 | 43.676 | +21.215 | 1.48574 |
| 75s, two-tone | 63.207 | 43.676 | +19.531 | 1.44718 |
| 75s, monotone | 59.255 | 43.676 | +15.579 | 1.35669 |
| 75s, paired | 63.594 | 43.676 | +19.918 | 1.45604 |
| 53s, all flops | 36.297 | 39.693 | -3.396 | 0.91444 |
| 53s, rainbow, ten or higher | 34.667 | 39.693 | -5.026 | 0.87338 |
| 53s, rainbow, nine or lower | 35.109 | 39.693 | -4.584 | 0.88451 |
| 53s, two-tone | 36.793 | 39.693 | -2.900 | 0.92694 |
| 53s, monotone | 40.745 | 39.693 | +1.052 | 1.02650 |
| 53s, paired | 36.406 | 39.693 | -3.287 | 0.91719 |
Does a shared suit matter?
Suits do not split this matchup, because no legal deal has the hands holding the same suit.
| Deals | Specific deals | Share of deals | 75s wins | Ties | 53s wins | 75s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 54.905 | 17.596 | 27.499 | 63.703 |
How often this matchup comes up
Counting specific cards, 75s against 53s 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
A $100 all-in from each player makes a $200 pot, and the exact equity says 75s gets $127.40 of it on average and 53s gets $72.60.
Run 1,000 deals and the tally comes out near 549 for 75s, 275 for 53s and 176 ties.
The same matchup from the other side
Read it from the other side: 53s against 75s is the same matchup with the numbers swapped, so 53s holds 36.30% and 75s holds 63.70%. That address sends you back to this page.
Keep exploring
Open the calculator with 7s5s against 5h3h 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
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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