75s
60.10%
Wins 56.41%, ties 7.39%
64s
39.90%
Wins 36.20%, ties 7.39%
75s against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 75s | 56.407 | 7.385 | 36.208 | 60.099 |
| 64s | 36.208 | 7.385 | 56.407 | 39.901 |
75s and 64s are both suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are part of the picture: 7.39% of boards end in a split pot, and each side counts that as half a win.
The hand ranking puts 75s at 124 and 64s at 138 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 75s | 15,454,000 | 2,023,000 | 9,920,000 |
| 64s | 9,920,000 | 2,023,000 | 15,454,000 |
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) |
|---|---|---|---|---|
| 75s | 1.506 | 1.773 | 2.762 | 0.664 |
| 64s | 0.664 | 2.762 | 1.773 | 1.506 |
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
Across the five flop textures 75s' equity moves by 3.07 points, from 58.20% on monotone flops to 61.27% on rainbow flops topped by a ten or better. 75s stays ahead on all five textures.
| Flop | Share of flops | 75s wins | Ties | 64s wins | 75s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 57.712 | 7.124 | 35.164 | 61.274 |
| Rainbow, nine or lower | 5.065 | 58.573 | 1.038 | 40.389 | 59.092 |
| Two-tone | 46.727 | 57.382 | 5.367 | 37.251 | 60.066 |
| Monotone | 5.273 | 54.769 | 6.870 | 38.361 | 58.204 |
| Paired | 17.091 | 51.631 | 15.336 | 33.033 | 59.299 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts 75s from 43.68% by +16.42 points and 64s from 41.33% by -1.43 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 75s, all flops | 60.099 | 43.676 | +16.423 | 1.37602 |
| 75s, rainbow, ten or higher | 61.274 | 43.676 | +17.598 | 1.40292 |
| 75s, rainbow, nine or lower | 59.092 | 43.676 | +15.416 | 1.35296 |
| 75s, two-tone | 60.066 | 43.676 | +16.390 | 1.37526 |
| 75s, monotone | 58.204 | 43.676 | +14.528 | 1.33263 |
| 75s, paired | 59.299 | 43.676 | +15.623 | 1.35770 |
| 64s, all flops | 39.901 | 41.333 | -1.432 | 0.96535 |
| 64s, rainbow, ten or higher | 38.726 | 41.333 | -2.607 | 0.93693 |
| 64s, rainbow, nine or lower | 40.908 | 41.333 | -0.425 | 0.98972 |
| 64s, two-tone | 39.934 | 41.333 | -1.399 | 0.96615 |
| 64s, monotone | 41.796 | 41.333 | +0.463 | 1.01120 |
| 64s, paired | 40.701 | 41.333 | -0.632 | 0.98471 |
Does a shared suit matter?
Two kinds of deal exist here. In 4 of them the hands share a suit and 75s holds 62.36%. In 12 they do not, and it holds 59.35%. 75s does better with a shared suit, by 3.01 points.
| Deals | Specific deals | Share of deals | 75s wins | Ties | 64s wins | 75s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 58.387 | 7.939 | 33.674 | 62.356 |
| No shared suit | 12 | 75.00 | 55.747 | 7.200 | 37.053 | 59.347 |
How often this matchup comes up
You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.
A worked example
Put $100 each into a $200 pot and deal every board once: 75s averages $120.20 back, ahead of its $100 by $20.20, while 64s averages $79.80, short of its $100 by $20.20.
Think in thousands: about 564 of 1,000 go to 75s, about 362 go to 64s, and about 74 are chopped.
The same matchup from the other side
If you came looking for 64s against 75s, the numbers are the same with the hands swapped: 39.90% and 60.10%.
Keep exploring
Try 7s5s 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
This is an exact count with no sampling. For the 16 ways to deal one 75s and one 64s 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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