77
52.88%
Wins 52.66%, ties 0.45%
K9s
47.12%
Wins 46.89%, ties 0.45%
77 against K9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 52.657 | 0.447 | 46.896 | 52.880 |
| K9s | 46.896 | 0.447 | 52.657 | 47.120 |
We compare a pocket pair with a suited hand. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.
77 leads by less than 6 points of equity, so the result of any one deal is close to a toss-up. Ties are 0.45% of the outcomes here; each tied board gives both hands half the pot.
In the ranking of all 169 starting hands, 77 is number 9 and K9s is number 29.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 21,640,000 | 184,000 | 19,272,000 |
| K9s | 19,272,000 | 184,000 | 21,640,000 |
The board total is exact, 24 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) |
|---|---|---|---|---|
| 77 | 1.122 | 1.899 | 2.132 | 0.891 |
| K9s | 0.891 | 2.132 | 1.899 | 1.122 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: 77 holds 62.43% on low rainbow flops (nine high or lower) and 51.08% on two-tone flops. 77 stays ahead on all five textures.
| Flop | Share of flops | 77 wins | Ties | K9s wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 51.235 | 0.242 | 48.523 | 51.356 |
| Rainbow, nine or lower | 5.689 | 62.150 | 0.554 | 37.296 | 62.427 |
| Two-tone | 46.545 | 50.940 | 0.279 | 48.781 | 51.080 |
| Monotone | 5.212 | 50.697 | 2.412 | 46.891 | 51.903 |
| Paired | 17.334 | 56.807 | 0.570 | 42.623 | 57.092 |
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
Each hand has a baseline against a random hand: 66.24% for 77, 59.99% for K9s. Here the change is -13.36 and -12.87 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 52.880 | 66.236 | -13.356 | 0.79836 |
| 77, rainbow, ten or higher | 51.356 | 66.236 | -14.880 | 0.77535 |
| 77, rainbow, nine or lower | 62.427 | 66.236 | -3.809 | 0.94249 |
| 77, two-tone | 51.080 | 66.236 | -15.156 | 0.77118 |
| 77, monotone | 51.903 | 66.236 | -14.333 | 0.78361 |
| 77, paired | 57.092 | 66.236 | -9.144 | 0.86195 |
| K9s, all flops | 47.120 | 59.988 | -12.868 | 0.78549 |
| K9s, rainbow, ten or higher | 48.644 | 59.988 | -11.344 | 0.81090 |
| K9s, rainbow, nine or lower | 37.573 | 59.988 | -22.415 | 0.62634 |
| K9s, two-tone | 48.920 | 59.988 | -11.068 | 0.81550 |
| K9s, monotone | 48.097 | 59.988 | -11.891 | 0.80178 |
| K9s, paired | 42.908 | 59.988 | -17.080 | 0.71528 |
Does a shared suit matter?
The suit split reads 53.05% for 77 with a shared suit and 52.71% without one. 77 does better with a shared suit, by 0.34 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | K9s wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 52.803 | 0.489 | 46.708 | 53.048 |
| No shared suit | 12 | 50.00 | 52.510 | 0.405 | 47.085 | 52.712 |
How often this matchup comes up
How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are 77 against K9s, 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 $105.76 of it on average and K9s gets $94.24.
Out of 1,000 deals you should see around 527 outright wins for 77, 469 for K9s, and 4 split pots.
The same matchup from the other side
The reversed view, K9s against 77, shows 47.12% for K9s and 52.88% for 77. It is the same count, so it redirects here.
Keep exploring
Try 7s7h against Kd9d 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
Nothing here is simulated. The 24 deals of 77 against K9s 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