77
51.13%
Wins 50.91%, ties 0.44%
KQs
48.87%
Wins 48.65%, ties 0.44%
77 against KQs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 50.906 | 0.444 | 48.650 | 51.128 |
| KQs | 48.650 | 0.444 | 50.906 | 48.872 |
77 and KQs are a pocket pair and a suited hand, in that order. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
That is a slim edge: neither hand is far ahead. The tie share is 0.44%: on those boards the pot is chopped and neither hand wins outright.
Place 9 of 169 belongs to 77 and place 16 belongs to KQs in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 20,920,000 | 182,000 | 19,993,000 |
| KQs | 19,993,000 | 182,000 | 20,920,000 |
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 | 1.046 | 1.964 | 2.055 | 0.956 |
| KQs | 0.956 | 2.055 | 1.964 | 1.046 |
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
Split by what the flop looks like, 77 peaks at 78.42% on low rainbow flops (nine high or lower) and bottoms out at 44.43% on rainbow flops topped by a ten or better. 77 is the favorite overall but falls behind on rainbow flops topped by a ten or better and two-tone flops.
| Flop | Share of flops | 77 wins | Ties | KQs wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 44.329 | 0.201 | 55.470 | 44.430 |
| Rainbow, nine or lower | 6.314 | 78.069 | 0.711 | 21.220 | 78.424 |
| Two-tone | 46.545 | 49.091 | 0.284 | 50.625 | 49.233 |
| Monotone | 5.212 | 49.445 | 2.414 | 48.141 | 50.652 |
| Paired | 17.334 | 55.659 | 0.531 | 43.810 | 55.925 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 66.24%, 77 changes by -15.11 points, and KQs, from 63.40%, by -14.53.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 51.128 | 66.236 | -15.108 | 0.77191 |
| 77, rainbow, ten or higher | 44.430 | 66.236 | -21.806 | 0.67078 |
| 77, rainbow, nine or lower | 78.424 | 66.236 | +12.188 | 1.18401 |
| 77, two-tone | 49.233 | 66.236 | -17.003 | 0.74330 |
| 77, monotone | 50.652 | 66.236 | -15.584 | 0.76472 |
| 77, paired | 55.925 | 66.236 | -10.311 | 0.84433 |
| KQs, all flops | 48.872 | 63.400 | -14.528 | 0.77085 |
| KQs, rainbow, ten or higher | 55.570 | 63.400 | -7.830 | 0.87650 |
| KQs, rainbow, nine or lower | 21.576 | 63.400 | -41.824 | 0.34032 |
| KQs, two-tone | 50.767 | 63.400 | -12.633 | 0.80074 |
| KQs, monotone | 49.348 | 63.400 | -14.052 | 0.77836 |
| KQs, paired | 44.075 | 63.400 | -19.325 | 0.69519 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, 77 has 51.30%; looking only at deals where they do not, 50.96%. 77 does better with a shared suit, by 0.34 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | KQs wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 51.056 | 0.489 | 48.455 | 51.301 |
| No shared suit | 12 | 50.00 | 50.756 | 0.400 | 48.844 | 50.956 |
How often this matchup comes up
Counting specific cards, 77 against KQs appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).
A worked example
With $100 from each side, the $200 pot is split on average as $102.26 for 77 and $97.74 for KQs; the first side gains $2.26 per all-in and the second gives up $2.26.
Over a long run, 1,000 deals split into about 509 for 77, 487 for KQs and 4 tied.
The same matchup from the other side
If you came looking for KQs against 77, the numbers are the same with the hands swapped: 48.87% and 51.13%.
Keep exploring
Try 7s7h against KdQd 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 24 ways to deal one 77 and one KQs 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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