76s
64.95%
Wins 56.51%, ties 16.88%
64s
35.05%
Wins 26.61%, ties 16.88%
76s against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 76s | 56.508 | 16.877 | 26.615 | 64.946 |
| 64s | 26.615 | 16.877 | 56.508 | 35.054 |
Both hands are suited hands: 76s and 64s. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
The lead is steady rather than large, and the flop still has plenty of say in who wins. The tie share is 16.88%: on those boards the pot is chopped and neither hand wins outright.
Ranked by equity against a random hand, 76s is number 115 of the 169 starting hands and 64s is number 138.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 76s | 11,611,000 | 3,468,000 | 5,469,000 |
| 64s | 5,469,000 | 3,468,000 | 11,611,000 |
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) |
|---|---|---|---|---|
| 76s | 1.853 | 1.770 | 3.757 | 0.540 |
| 64s | 0.540 | 3.757 | 1.770 | 1.853 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
The flop changes the picture. 76s does best on rainbow flops topped by a ten or better, at 67.38%, and worst on monotone flops, at 60.04%. 76s stays ahead on all five textures.
| Flop | Share of flops | 76s wins | Ties | 64s wins | 76s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 58.909 | 16.940 | 24.151 | 67.379 |
| Rainbow, nine or lower | 5.065 | 58.034 | 11.168 | 30.798 | 63.618 |
| Two-tone | 46.543 | 57.257 | 14.439 | 28.304 | 64.477 |
| Monotone | 5.215 | 52.983 | 14.105 | 32.912 | 60.035 |
| Paired | 17.333 | 51.529 | 25.834 | 22.637 | 64.446 |
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
Relative to a random opponent, 76s changes by +19.58 points (baseline 45.37%) and 64s by -6.28 points (baseline 41.33%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 76s, all flops | 64.946 | 45.372 | +19.574 | 1.43141 |
| 76s, rainbow, ten or higher | 67.379 | 45.372 | +22.007 | 1.48503 |
| 76s, rainbow, nine or lower | 63.618 | 45.372 | +18.246 | 1.40214 |
| 76s, two-tone | 64.477 | 45.372 | +19.105 | 1.42107 |
| 76s, monotone | 60.035 | 45.372 | +14.663 | 1.32317 |
| 76s, paired | 64.446 | 45.372 | +19.074 | 1.42039 |
| 64s, all flops | 35.054 | 41.333 | -6.279 | 0.84809 |
| 64s, rainbow, ten or higher | 32.621 | 41.333 | -8.712 | 0.78922 |
| 64s, rainbow, nine or lower | 36.382 | 41.333 | -4.951 | 0.88022 |
| 64s, two-tone | 35.523 | 41.333 | -5.810 | 0.85943 |
| 64s, monotone | 39.965 | 41.333 | -1.368 | 0.96690 |
| 64s, paired | 35.554 | 41.333 | -5.779 | 0.86018 |
Does a shared suit matter?
These two classes cannot share a suit in any legal deal, so there is only one row to read: 76s holds 64.95% in every deal of this matchup.
| Deals | Specific deals | Share of deals | 76s wins | Ties | 64s wins | 76s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 56.508 | 16.877 | 26.615 | 64.946 |
How often this matchup comes up
76s against 64s is made up of 12 specific-card matchups in one seat order, 0.0007% of the 1,624,350 ordered deals, and 24 counting both seat orders, 0.0015%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says 76s gets $129.90 of it on average and 64s gets $70.10.
Run 1,000 deals and the tally comes out near 565 for 76s, 266 for 64s and 169 ties.
The same matchup from the other side
The mirror image, 64s against 76s, is 35.05% to 64.95%, and its address redirects to this page.
Keep exploring
Try 7s6s 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 12 ways to deal one 76s 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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