KK
77.48%
Wins 77.25%, ties 0.46%
54s
22.52%
Wins 22.29%, ties 0.46%
KK against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 77.254 | 0.458 | 22.288 | 77.483 |
| 54s | 22.288 | 0.458 | 77.254 | 22.517 |
KK is a pocket pair and 54s is a suited hand. A pair against two lower cards is a lopsided matchup: the pair is ahead and the other hand has no overcard to catch.
KK is the clear favorite, though 54s gets there on roughly one board in 4. Of every 100 boards, about 0.46 are split pots, and the equity figures already include them.
Place 2 of 169 belongs to KK and place 136 belongs to 54s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 31,748,000 | 188,000 | 9,159,000 |
| 54s | 9,159,000 | 188,000 | 31,748,000 |
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 | 3.441 | 1.294 | 4.487 | 0.291 |
| 54s | 0.291 | 4.487 | 1.294 | 3.441 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Rainbow flops topped by a ten or better are the best for KK (82.79%); low rainbow flops (nine high or lower) are the worst (63.04%). 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 | 54s wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 82.669 | 0.247 | 17.084 | 82.793 |
| Rainbow, nine or lower | 6.314 | 62.500 | 1.078 | 36.422 | 63.039 |
| Two-tone | 46.545 | 75.259 | 0.390 | 24.351 | 75.454 |
| Monotone | 5.212 | 71.283 | 2.528 | 26.189 | 72.547 |
| Paired | 17.334 | 82.095 | 0.092 | 17.813 | 82.141 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
A random hand would give KK 82.40% and 54s 41.45%. Against each other the change is -4.92 points for KK and -18.93 for 54s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 77.483 | 82.396 | -4.913 | 0.94037 |
| KK, rainbow, ten or higher | 82.793 | 82.396 | +0.397 | 1.00482 |
| KK, rainbow, nine or lower | 63.039 | 82.396 | -19.357 | 0.76507 |
| KK, two-tone | 75.454 | 82.396 | -6.942 | 0.91575 |
| KK, monotone | 72.547 | 82.396 | -9.849 | 0.88047 |
| KK, paired | 82.141 | 82.396 | -0.255 | 0.99691 |
| 54s, all flops | 22.517 | 41.453 | -18.936 | 0.54319 |
| 54s, rainbow, ten or higher | 17.207 | 41.453 | -24.246 | 0.41510 |
| 54s, rainbow, nine or lower | 36.961 | 41.453 | -4.492 | 0.89164 |
| 54s, two-tone | 24.546 | 41.453 | -16.907 | 0.59214 |
| 54s, monotone | 27.453 | 41.453 | -14.000 | 0.66227 |
| 54s, paired | 17.859 | 41.453 | -23.594 | 0.43083 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, KK has 78.04%; looking only at deals where they do not, 76.93%. KK does better with a shared suit, by 1.11 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | 54s wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 77.789 | 0.499 | 21.712 | 78.038 |
| No shared suit | 12 | 50.00 | 76.718 | 0.418 | 22.864 | 76.927 |
How often this matchup comes up
This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).
A worked example
Take a $200 pot built from $100 each. KK's equity of 77.48% is worth $154.96, a $54.96 edge, and 54s' 22.52% is worth $45.04, which is $54.96 under its stake.
Out of 1,000 deals you should see around 772 outright wins for KK, 223 for 54s, and 5 split pots.
The same matchup from the other side
The reversed view, 54s against KK, shows 22.52% for 54s and 77.48% for KK. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in KsKh against 5d4d, 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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