77
53.71%
Wins 53.49%, ties 0.42%
KQo
46.29%
Wins 46.09%, ties 0.42%
77 against KQo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 53.494 | 0.424 | 46.082 | 53.706 |
| KQo | 46.082 | 0.424 | 53.494 | 46.294 |
77 is a pocket pair and KQo is an offsuit 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.
This is close to even money, with 77 a little ahead. About 0.42% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
In the ranking of all 169 starting hands, 77 is number 9 and KQo is number 23.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 65,951,000 | 523,000 | 56,813,000 |
| KQo | 56,813,000 | 523,000 | 65,951,000 |
72 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 77 | 1.160 | 1.869 | 2.170 | 0.862 |
| KQo | 0.862 | 2.170 | 1.869 | 1.160 |
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
By flop texture, 77's equity runs from 45.84% on rainbow flops topped by a ten or better up to 81.17% on low rainbow flops (nine high or lower). The lead reverses on rainbow flops topped by a ten or better: there KQo is the favorite even though 77 is ahead overall.
| Flop | Share of flops | 77 wins | Ties | KQo wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 45.732 | 0.210 | 54.058 | 45.837 |
| Rainbow, nine or lower | 6.314 | 80.793 | 0.746 | 18.461 | 81.166 |
| Two-tone | 46.485 | 52.589 | 0.307 | 47.104 | 52.742 |
| Monotone | 5.151 | 49.687 | 1.721 | 48.592 | 50.547 |
| Paired | 17.333 | 58.175 | 0.540 | 41.285 | 58.445 |
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
A random hand would give 77 66.24% and KQo 61.46%. Against each other the change is -12.53 points for 77 and -15.17 for KQo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 53.706 | 66.236 | -12.530 | 0.81083 |
| 77, rainbow, ten or higher | 45.837 | 66.236 | -20.399 | 0.69203 |
| 77, rainbow, nine or lower | 81.166 | 66.236 | +14.930 | 1.22541 |
| 77, two-tone | 52.742 | 66.236 | -13.494 | 0.79627 |
| 77, monotone | 50.547 | 66.236 | -15.689 | 0.76313 |
| 77, paired | 58.445 | 66.236 | -7.791 | 0.88238 |
| KQo, all flops | 46.294 | 61.456 | -15.162 | 0.75329 |
| KQo, rainbow, ten or higher | 54.163 | 61.456 | -7.293 | 0.88133 |
| KQo, rainbow, nine or lower | 18.834 | 61.456 | -42.622 | 0.30646 |
| KQo, two-tone | 47.258 | 61.456 | -14.198 | 0.76897 |
| KQo, monotone | 49.453 | 61.456 | -12.003 | 0.80469 |
| KQo, paired | 41.555 | 61.456 | -19.901 | 0.67617 |
Does a shared suit matter?
Split by suits, the deals give 77 53.62% when the hands overlap in a suit and 54.13% when they do not. 77 does better with no shared suit, by 0.51 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | KQo wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 53.401 | 0.440 | 46.159 | 53.621 |
| No shared suit | 12 | 16.67 | 53.957 | 0.345 | 45.698 | 54.130 |
How often this matchup comes up
Counting specific cards, 77 against KQo appears in 72 of the 1,624,350 ordered heads-up deals (0.0044%), and in 144 when the seats are swapped too (0.0089%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, 77's average share is $107.42 (a gain of $7.42) and KQo's is $92.58 (a loss of $7.42).
Scaled to 1,000 deals, that is roughly 535 wins for 77, 461 for KQo and 4 chopped pots.
The same matchup from the other side
The reversed view, KQo against 77, shows 46.29% for KQo and 53.71% for 77. It is the same count, so it redirects here.
Keep exploring
Open the calculator with 7s7h against KdQc already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
This is an exact count with no sampling. For the 72 ways to deal one 77 and one KQo 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.
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