75s
63.64%
Wins 55.15%, ties 16.98%
65s
36.36%
Wins 27.87%, ties 16.98%
75s against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 75s | 55.150 | 16.983 | 27.867 | 63.641 |
| 65s | 27.867 | 16.983 | 55.150 | 36.359 |
75s meets 65s, and both are suited hands. 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.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. A split pot comes up on 16.98% of boards, so the wins and the equity differ by half of that.
Among the 169 starting hands, 75s is number 124 and 65s is number 128 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 75s | 11,332,000 | 3,490,000 | 5,726,000 |
| 65s | 5,726,000 | 3,490,000 | 11,332,000 |
The total is exact: 12 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| 75s | 1.750 | 1.813 | 3.588 | 0.571 |
| 65s | 0.571 | 3.588 | 1.813 | 1.750 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: 75s holds 66.34% on rainbow flops topped by a ten or better and 59.01% on monotone flops. 75s stays ahead on all five textures.
| Flop | Share of flops | 75s wins | Ties | 65s wins | 75s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 57.747 | 17.183 | 25.070 | 66.339 |
| Rainbow, nine or lower | 5.065 | 55.006 | 10.968 | 34.026 | 60.490 |
| Two-tone | 46.543 | 55.943 | 14.549 | 29.508 | 63.218 |
| Monotone | 5.215 | 51.965 | 14.081 | 33.954 | 59.005 |
| Paired | 17.333 | 50.146 | 25.853 | 24.001 | 63.073 |
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
Relative to a random opponent, 75s changes by +19.96 points (baseline 43.68%) and 65s by -6.77 points (baseline 43.13%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 75s, all flops | 63.641 | 43.676 | +19.965 | 1.45712 |
| 75s, rainbow, ten or higher | 66.339 | 43.676 | +22.663 | 1.51889 |
| 75s, rainbow, nine or lower | 60.490 | 43.676 | +16.814 | 1.38497 |
| 75s, two-tone | 63.218 | 43.676 | +19.542 | 1.44743 |
| 75s, monotone | 59.005 | 43.676 | +15.329 | 1.35097 |
| 75s, paired | 63.073 | 43.676 | +19.397 | 1.44411 |
| 65s, all flops | 36.359 | 43.133 | -6.774 | 0.84295 |
| 65s, rainbow, ten or higher | 33.661 | 43.133 | -9.472 | 0.78040 |
| 65s, rainbow, nine or lower | 39.510 | 43.133 | -3.623 | 0.91600 |
| 65s, two-tone | 36.782 | 43.133 | -6.351 | 0.85276 |
| 65s, monotone | 40.995 | 43.133 | -2.138 | 0.95043 |
| 65s, paired | 36.927 | 43.133 | -6.206 | 0.85612 |
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 | 65s wins | 75s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 55.150 | 16.983 | 27.867 | 63.641 |
How often this matchup comes up
You will meet this exact matchup 0.0015% of the time in a random heads-up deal: 24 of 1,624,350, counting either seat order.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. 75s is worth $127.28 on average (+$27.28); 65s is worth $72.72 (-$27.28).
Out of 1,000 deals you should see around 551 outright wins for 75s, 279 for 65s, and 170 split pots.
The same matchup from the other side
Read it from the other side: 65s against 75s is the same matchup with the numbers swapped, so 65s holds 36.36% and 75s holds 63.64%. That address sends you back to this page.
Keep exploring
7s5s against 6h5h 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
Nothing here is simulated. The 12 deals of 75s against 65s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
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