KK
77.53%
Wins 77.36%, ties 0.35%
76s
22.47%
Wins 22.29%, ties 0.35%
KK against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 77.355 | 0.351 | 22.294 | 77.531 |
| 76s | 22.294 | 0.351 | 77.355 | 22.469 |
Here a pocket pair (KK) meets a suited hand (76s). A pair against two lower cards is a lopsided matchup: the pair is ahead and the other hand has no overcard to catch.
That is a clear edge, 77.53% to 22.47%, but 76s still wins often enough that one hand proves nothing. The tie share is 0.35%: on those boards the pot is chopped and neither hand wins outright.
Place 2 of 169 belongs to KK and place 115 belongs to 76s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 31,789,000 | 144,000 | 9,162,000 |
| 76s | 9,162,000 | 144,000 | 31,789,000 |
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) |
|---|---|---|---|---|
| KK | 3.451 | 1.293 | 4.486 | 0.290 |
| 76s | 0.290 | 4.486 | 1.293 | 3.451 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
Rainbow flops topped by a ten or better are the best for KK (82.92%); low rainbow flops (nine high or lower) are the worst (62.87%). KK stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | KK wins | Ties | 76s wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 82.834 | 0.177 | 16.989 | 82.923 |
| Rainbow, nine or lower | 6.314 | 62.534 | 0.674 | 36.792 | 62.871 |
| Two-tone | 46.545 | 75.382 | 0.267 | 24.351 | 75.516 |
| Monotone | 5.212 | 71.365 | 2.392 | 26.243 | 72.561 |
| Paired | 17.334 | 82.079 | 0.092 | 17.829 | 82.125 |
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
Start from the random-hand figures, 82.40% for KK and 45.37% for 76s. This opponent changes them by -4.87 and -22.90 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 77.531 | 82.396 | -4.865 | 0.94096 |
| KK, rainbow, ten or higher | 82.923 | 82.396 | +0.527 | 1.00640 |
| KK, rainbow, nine or lower | 62.871 | 82.396 | -19.525 | 0.76303 |
| KK, two-tone | 75.516 | 82.396 | -6.880 | 0.91650 |
| KK, monotone | 72.561 | 82.396 | -9.835 | 0.88064 |
| KK, paired | 82.125 | 82.396 | -0.271 | 0.99671 |
| 76s, all flops | 22.469 | 45.372 | -22.903 | 0.49522 |
| 76s, rainbow, ten or higher | 17.077 | 45.372 | -28.295 | 0.37638 |
| 76s, rainbow, nine or lower | 37.129 | 45.372 | -8.243 | 0.81832 |
| 76s, two-tone | 24.484 | 45.372 | -20.888 | 0.53963 |
| 76s, monotone | 27.439 | 45.372 | -17.933 | 0.60476 |
| 76s, paired | 17.875 | 45.372 | -27.497 | 0.39397 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (KK at 78.09%) and 12 do not (76.97%). KK does better with a shared suit, by 1.12 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | 76s wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 77.892 | 0.393 | 21.715 | 78.088 |
| No shared suit | 12 | 50.00 | 76.819 | 0.309 | 22.872 | 76.974 |
How often this matchup comes up
KK against 76s is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average KK takes back $155.06 of it, which is $55.06 more than it put in, and 76s takes back $44.94, $55.06 less than it put in.
A thousand deals look like this: KK takes 774, 76s takes 223, 3 are ties.
The same matchup from the other side
One page covers both views. From 76s' side the equity is 22.47%, and from KK's side it is 77.53%.
Keep exploring
KsKh against 7d6d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
This is an exact count with no sampling. For the 24 ways to deal one KK and one 76s 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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