77
53.82%
Wins 53.61%, ties 0.42%
KJo
46.18%
Wins 45.97%, ties 0.42%
77 against KJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 53.613 | 0.418 | 45.969 | 53.822 |
| KJo | 45.969 | 0.418 | 53.613 | 46.178 |
The first hand is a pocket pair; the second is an offsuit hand. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
This is close to even money, with 77 a little ahead. Ties are part of the picture: 0.42% of boards end in a split pot, and each side counts that as half a win.
Ranked by equity against a random hand, 77 is number 9 of the 169 starting hands and KJo is number 26.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 66,097,000 | 515,000 | 56,673,000 |
| KJo | 56,673,000 | 515,000 | 66,097,000 |
Exact total: 72 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 | 1.166 | 1.865 | 2.175 | 0.858 |
| KJo | 0.858 | 2.175 | 1.865 | 1.166 |
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
Break the boards down by their first three cards and 77 is strongest on low rainbow flops (nine high or lower) (80.92%) and weakest on rainbow flops topped by a ten or better (46.06%). On rainbow flops topped by a ten or better the numbers flip and KJo is the one ahead.
| Flop | Share of flops | 77 wins | Ties | KJo wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 45.951 | 0.214 | 53.835 | 46.058 |
| Rainbow, nine or lower | 6.314 | 80.571 | 0.688 | 18.741 | 80.915 |
| Two-tone | 46.485 | 52.711 | 0.299 | 46.990 | 52.861 |
| Monotone | 5.151 | 49.767 | 1.715 | 48.518 | 50.625 |
| Paired | 17.333 | 58.279 | 0.544 | 41.177 | 58.551 |
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
The table below sets each hand against its own random-hand baseline: a change of -12.42 points for 77, from 66.24%, and -14.39 for KJo, from 60.57%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 53.822 | 66.236 | -12.414 | 0.81258 |
| 77, rainbow, ten or higher | 46.058 | 66.236 | -20.178 | 0.69536 |
| 77, rainbow, nine or lower | 80.915 | 66.236 | +14.679 | 1.22162 |
| 77, two-tone | 52.861 | 66.236 | -13.375 | 0.79807 |
| 77, monotone | 50.625 | 66.236 | -15.611 | 0.76431 |
| 77, paired | 58.551 | 66.236 | -7.685 | 0.88398 |
| KJo, all flops | 46.178 | 60.569 | -14.391 | 0.76240 |
| KJo, rainbow, ten or higher | 53.942 | 60.569 | -6.627 | 0.89059 |
| KJo, rainbow, nine or lower | 19.085 | 60.569 | -41.484 | 0.31510 |
| KJo, two-tone | 47.139 | 60.569 | -13.430 | 0.77827 |
| KJo, monotone | 49.375 | 60.569 | -11.194 | 0.81519 |
| KJo, paired | 41.449 | 60.569 | -19.120 | 0.68433 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, 77 has 53.74%; looking only at deals where they do not, 54.25%. 77 does better with no shared suit, by 0.51 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | KJo wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 53.520 | 0.434 | 46.046 | 53.737 |
| No shared suit | 12 | 16.67 | 54.076 | 0.339 | 45.585 | 54.245 |
How often this matchup comes up
77 against KJo is made up of 72 specific-card matchups in one seat order, 0.0044% of the 1,624,350 ordered deals, and 144 counting both seat orders, 0.0089%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average 77 takes back $107.64 of it, which is $7.64 more than it put in, and KJo takes back $92.36, $7.64 less than it put in.
Think in thousands: about 536 of 1,000 go to 77, about 460 go to KJo, and about 4 are chopped.
The same matchup from the other side
One page covers both views. From KJo's side the equity is 46.18%, and from 77's side it is 53.82%.
Keep exploring
Open the calculator with 7s7h against KdJc 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 KJo 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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