77
81.79%
Wins 81.13%, ties 1.31%
64s
18.21%
Wins 17.56%, ties 1.31%
77 against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 81.133 | 1.306 | 17.561 | 81.786 |
| 64s | 17.561 | 1.306 | 81.133 | 18.214 |
77 is a pocket pair and 64s is a suited hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.
This is one of the lopsided matchups: 64s wins only 17.56% of the boards outright. Of every 100 boards, about 1.31 are split pots, and the equity figures already include them.
77 ranks number 9 of 169 starting hands, and 64s ranks number 138, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 33,342,000 | 537,000 | 7,217,000 |
| 64s | 7,217,000 | 537,000 | 33,342,000 |
Exact total: 24 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) |
|---|---|---|---|---|
| 77 | 4.490 | 1.233 | 5.694 | 0.223 |
| 64s | 0.223 | 5.694 | 1.233 | 4.490 |
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 77's equity moves by 13.31 points, from 72.87% on low rainbow flops (nine high or lower) to 86.18% on rainbow flops topped by a ten or better. 77 stays ahead on all five textures.
| Flop | Share of flops | 77 wins | Ties | 64s wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 85.780 | 0.803 | 13.417 | 86.181 |
| Rainbow, nine or lower | 5.065 | 72.622 | 0.486 | 26.892 | 72.865 |
| Two-tone | 46.545 | 79.896 | 0.706 | 19.398 | 80.249 |
| Monotone | 5.212 | 74.486 | 2.779 | 22.735 | 75.876 |
| Paired | 17.334 | 82.009 | 3.467 | 14.524 | 83.742 |
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
How much does the opponent matter? Compared with its random-hand 66.24%, 77 changes by +15.55 points, and 64s, from 41.33%, by -23.12.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 81.786 | 66.236 | +15.550 | 1.23477 |
| 77, rainbow, ten or higher | 86.181 | 66.236 | +19.945 | 1.30112 |
| 77, rainbow, nine or lower | 72.865 | 66.236 | +6.629 | 1.10008 |
| 77, two-tone | 80.249 | 66.236 | +14.013 | 1.21156 |
| 77, monotone | 75.876 | 66.236 | +9.640 | 1.14554 |
| 77, paired | 83.742 | 66.236 | +17.506 | 1.26430 |
| 64s, all flops | 18.214 | 41.333 | -23.119 | 0.44066 |
| 64s, rainbow, ten or higher | 13.819 | 41.333 | -27.514 | 0.33433 |
| 64s, rainbow, nine or lower | 27.135 | 41.333 | -14.198 | 0.65650 |
| 64s, two-tone | 19.751 | 41.333 | -21.582 | 0.47785 |
| 64s, monotone | 24.124 | 41.333 | -17.209 | 0.58365 |
| 64s, paired | 16.258 | 41.333 | -25.075 | 0.39334 |
Does a shared suit matter?
The suit split reads 82.37% for 77 with a shared suit and 81.21% without one. 77 does better with a shared suit, by 1.16 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | 64s wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 81.691 | 1.347 | 16.962 | 82.365 |
| No shared suit | 12 | 50.00 | 80.574 | 1.265 | 18.161 | 81.207 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are 77 against 64s, and 48 (0.0030%) if either hand may sit in either seat.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says 77 gets $163.58 of it on average and 64s gets $36.42.
Over a long run, 1,000 deals split into about 811 for 77, 176 for 64s and 13 tied.
The same matchup from the other side
One page covers both views. From 64s' side the equity is 18.21%, and from 77's side it is 81.79%.
Keep exploring
Try 7s7h against 6d4d 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of 77 against 64s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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