KK
80.48%
Wins 80.28%, ties 0.42%
55
19.52%
Wins 19.30%, ties 0.42%
KK against 55: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 80.276 | 0.416 | 19.308 | 80.484 |
| 55 | 19.308 | 0.416 | 80.276 | 19.516 |
The matchup is pocket pairs on both sides, KK against 55. A pair against a smaller pair is the classic crush: the smaller pair needs one of its two remaining cards to make a set.
This is one of the lopsided matchups: 55 wins only 19.30% of the boards outright. 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, KK is number 2 and 55 is number 27.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 49,484,000 | 256,000 | 11,902,000 |
| 55 | 11,902,000 | 256,000 | 49,484,000 |
The board total is exact, 36 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 | 4.124 | 1.246 | 5.179 | 0.242 |
| 55 | 0.242 | 5.179 | 1.246 | 4.124 |
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, KK peaks at 86.52% on paired flops and bottoms out at 65.09% on low rainbow flops (nine high or lower). 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 | 55 wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 83.459 | 0.255 | 16.286 | 83.586 |
| Rainbow, nine or lower | 6.314 | 64.610 | 0.959 | 34.431 | 65.089 |
| Two-tone | 46.363 | 79.070 | 0.383 | 20.547 | 79.262 |
| Monotone | 5.152 | 74.012 | 1.887 | 24.101 | 74.956 |
| Paired | 17.576 | 86.470 | 0.100 | 13.430 | 86.520 |
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
Compared with a random opponent, this matchup shifts KK from 82.40% by -1.92 points and 55 from 60.33% by -40.81 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 80.484 | 82.396 | -1.912 | 0.97679 |
| KK, rainbow, ten or higher | 83.586 | 82.396 | +1.190 | 1.01444 |
| KK, rainbow, nine or lower | 65.089 | 82.396 | -17.307 | 0.78995 |
| KK, two-tone | 79.262 | 82.396 | -3.134 | 0.96196 |
| KK, monotone | 74.956 | 82.396 | -7.440 | 0.90970 |
| KK, paired | 86.520 | 82.396 | +4.124 | 1.05005 |
| 55, all flops | 19.516 | 60.325 | -40.809 | 0.32351 |
| 55, rainbow, ten or higher | 16.414 | 60.325 | -43.911 | 0.27209 |
| 55, rainbow, nine or lower | 34.911 | 60.325 | -25.414 | 0.57872 |
| 55, two-tone | 20.738 | 60.325 | -39.587 | 0.34377 |
| 55, monotone | 25.044 | 60.325 | -35.281 | 0.41515 |
| 55, paired | 13.480 | 60.325 | -46.845 | 0.22346 |
Does a shared suit matter?
Two kinds of deal exist here. In 30 of them the hands share a suit and KK holds 80.62%. In 6 they do not, and it holds 79.83%. KK does better with a shared suit, by 0.79 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | 55 wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 30 | 83.33 | 80.400 | 0.431 | 19.169 | 80.615 |
| No shared suit | 6 | 16.67 | 79.659 | 0.341 | 20.000 | 79.830 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 36 are KK in one seat and 55 in the other (0.0022%); with the seats swapped too, 72 (0.0044%).
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says KK gets $160.96 of it on average and 55 gets $39.04.
In 1,000 deals of exactly this matchup, expect about 803 won outright by KK, about 193 won outright by 55 and about 4 split.
The same matchup from the other side
If you came looking for 55 against KK, the numbers are the same with the hands swapped: 19.52% and 80.48%.
Keep exploring
The calculator link fills in KsKh against 5d5c, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Method: exact enumeration. The 36 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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