KK
78.75%
Wins 78.54%, ties 0.40%
75s
21.25%
Wins 21.06%, ties 0.40%
KK against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 78.544 | 0.402 | 21.054 | 78.745 |
| 75s | 21.054 | 0.402 | 78.544 | 21.255 |
The matchup pits a pocket pair against a suited hand. The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.
That is a clear edge, 78.75% to 21.25%, but 75s still wins often enough that one hand proves nothing. The tie share is 0.40%: on those boards the pot is chopped and neither hand wins outright.
In the ranking of all 169 starting hands, KK is number 2 and 75s is number 124.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 32,278,000 | 165,000 | 8,652,000 |
| 75s | 8,652,000 | 165,000 | 32,278,000 |
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 | 3.705 | 1.273 | 4.750 | 0.270 |
| 75s | 0.270 | 4.750 | 1.273 | 3.705 |
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 84.37% on rainbow flops topped by a ten or better and bottoms out at 64.03% 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 | 75s wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 84.254 | 0.227 | 15.519 | 84.368 |
| Rainbow, nine or lower | 6.314 | 63.623 | 0.806 | 35.571 | 64.026 |
| Two-tone | 46.545 | 76.628 | 0.327 | 23.045 | 76.792 |
| Monotone | 5.212 | 72.300 | 2.434 | 25.266 | 73.517 |
| Paired | 17.334 | 82.898 | 0.092 | 17.010 | 82.944 |
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 43.68% for 75s. This opponent changes them by -3.65 and -22.43 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 78.745 | 82.396 | -3.651 | 0.95569 |
| KK, rainbow, ten or higher | 84.368 | 82.396 | +1.972 | 1.02393 |
| KK, rainbow, nine or lower | 64.026 | 82.396 | -18.370 | 0.77705 |
| KK, two-tone | 76.792 | 82.396 | -5.604 | 0.93199 |
| KK, monotone | 73.517 | 82.396 | -8.879 | 0.89224 |
| KK, paired | 82.944 | 82.396 | +0.548 | 1.00665 |
| 75s, all flops | 21.255 | 43.676 | -22.421 | 0.48665 |
| 75s, rainbow, ten or higher | 15.632 | 43.676 | -28.044 | 0.35791 |
| 75s, rainbow, nine or lower | 35.974 | 43.676 | -7.702 | 0.82366 |
| 75s, two-tone | 23.208 | 43.676 | -20.468 | 0.53137 |
| 75s, monotone | 26.483 | 43.676 | -17.193 | 0.60635 |
| 75s, paired | 17.056 | 43.676 | -26.620 | 0.39051 |
Does a shared suit matter?
When the hands share a suit, KK holds 79.32%; when they do not, it holds 78.17%. KK does better with a shared suit, by 1.15 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | 75s wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 79.100 | 0.444 | 20.456 | 79.322 |
| No shared suit | 12 | 50.00 | 77.988 | 0.359 | 21.653 | 78.167 |
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
Try it with money: two players each put in $100 and the whole board runs out every possible way. KK averages $157.50 from the $200, up $57.50; 75s averages $42.50, down $57.50.
Out of 1,000 deals you should see around 785 outright wins for KK, 211 for 75s, and 4 split pots.
The same matchup from the other side
Read it from the other side: 75s against KK is the same matchup with the numbers swapped, so 75s holds 21.25% and KK holds 78.75%. That address sends you back to this page.
Keep exploring
The calculator link fills in KsKh against 7d5d, 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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