KK
86.13%
Wins 85.54%, ties 1.19%
KQs
13.87%
Wins 13.27%, ties 1.19%
KK against KQs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 85.537 | 1.189 | 13.274 | 86.132 |
| KQs | 13.274 | 1.189 | 85.537 | 13.868 |
KK and KQs are a pocket pair and a suited hand, in that order. The pair already holds one of the other hand's ranks, and that overlap cuts down the cards the other hand can pair with.
That is a heavy lead: KQs needs the board to help it on most runouts and still falls behind far more often than not. Ties are 1.19% of the outcomes here; each tied board gives both hands half the pot.
By strength against a random hand, KK holds place 2 of 169 and KQs holds place 16.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 17,576,000 | 244,000 | 2,727,000 |
| KQs | 2,727,000 | 244,000 | 17,576,000 |
12 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KK | 6.211 | 1.169 | 7.534 | 0.161 |
| KQs | 0.161 | 7.534 | 1.169 | 6.211 |
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
By flop texture, KK's equity runs from 76.46% on monotone flops up to 95.05% 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 | KQs wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.011 | 86.884 | 1.359 | 11.757 | 87.564 |
| Rainbow, nine or lower | 7.771 | 94.390 | 1.320 | 4.290 | 95.050 |
| Two-tone | 46.236 | 83.996 | 1.234 | 14.770 | 84.613 |
| Monotone | 5.151 | 75.310 | 2.306 | 22.384 | 76.463 |
| Paired | 17.831 | 86.893 | 0.474 | 12.633 | 87.130 |
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
Relative to a random opponent, KK changes by +3.73 points (baseline 82.40%) and KQs by -49.53 points (baseline 63.40%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 86.132 | 82.396 | +3.736 | 1.04534 |
| KK, rainbow, ten or higher | 87.564 | 82.396 | +5.168 | 1.06272 |
| KK, rainbow, nine or lower | 95.050 | 82.396 | +12.654 | 1.15358 |
| KK, two-tone | 84.613 | 82.396 | +2.217 | 1.02691 |
| KK, monotone | 76.463 | 82.396 | -5.933 | 0.92799 |
| KK, paired | 87.130 | 82.396 | +4.734 | 1.05745 |
| KQs, all flops | 13.868 | 63.400 | -49.532 | 0.21874 |
| KQs, rainbow, ten or higher | 12.436 | 63.400 | -50.964 | 0.19615 |
| KQs, rainbow, nine or lower | 4.950 | 63.400 | -58.450 | 0.07808 |
| KQs, two-tone | 15.387 | 63.400 | -48.013 | 0.24270 |
| KQs, monotone | 23.537 | 63.400 | -39.863 | 0.37125 |
| KQs, paired | 12.870 | 63.400 | -50.530 | 0.20300 |
Does a shared suit matter?
There is no shared-suit case for this pair, since the cards they would need are already in the other hand. Every deal is a no-shared-suit deal.
| Deals | Specific deals | Share of deals | KK wins | Ties | KQs wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 85.537 | 1.189 | 13.274 | 86.132 |
How often this matchup comes up
This page stands for 12 specific-card matchups (0.0007% of 1,624,350 ordered deals), or 24 once you count the seats both ways (0.0015%).
A worked example
With $100 from each side, the $200 pot is split on average as $172.26 for KK and $27.74 for KQs; the first side gains $72.26 per all-in and the second gives up $72.26.
Think in thousands: about 855 of 1,000 go to KK, about 133 go to KQs, and about 12 are chopped.
The same matchup from the other side
KQs against KK adds nothing new: it is 13.87% for KQs and 86.13% for KK, the same figures reversed.
Keep exploring
KsKh against KdQd 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 12 ways to deal one KK and one KQs 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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