KK
85.34%
Wins 84.75%, ties 1.17%
KTs
14.66%
Wins 14.08%, ties 1.17%
KK against KTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 84.751 | 1.167 | 14.082 | 85.335 |
| KTs | 14.082 | 1.167 | 84.751 | 14.665 |
We compare a pocket pair with a suited hand. The non-pair hand shares a rank with the pair, so two of its outs for pairing are blocked by the pair itself.
That is a heavy lead: KTs needs the board to help it on most runouts and still falls behind far more often than not. 1.17% of boards are ties, so the equity of each hand is its win rate plus half of that.
Ranked by equity against a random hand, KK is number 2 of the 169 starting hands and KTs is number 22.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 17,414,000 | 240,000 | 2,894,000 |
| KTs | 2,894,000 | 240,000 | 17,414,000 |
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 | 5.819 | 1.180 | 7.101 | 0.172 |
| KTs | 0.172 | 7.101 | 1.180 | 5.819 |
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
If you know the kind of flop that came, the numbers shift: KK holds 92.89% on low rainbow flops (nine high or lower) and 75.90% on monotone flops. 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 | KTs wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.011 | 86.251 | 1.409 | 12.340 | 86.956 |
| Rainbow, nine or lower | 7.771 | 92.367 | 1.044 | 6.589 | 92.889 |
| Two-tone | 46.236 | 83.115 | 1.209 | 15.676 | 83.719 |
| Monotone | 5.151 | 74.749 | 2.295 | 22.956 | 75.896 |
| Paired | 17.831 | 86.629 | 0.474 | 12.897 | 86.866 |
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
Start from the random-hand figures, 82.40% for KK and 61.79% for KTs. This opponent changes them by +2.94 and -47.13 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 85.335 | 82.396 | +2.939 | 1.03567 |
| KK, rainbow, ten or higher | 86.956 | 82.396 | +4.560 | 1.05534 |
| KK, rainbow, nine or lower | 92.889 | 82.396 | +10.493 | 1.12735 |
| KK, two-tone | 83.719 | 82.396 | +1.323 | 1.01606 |
| KK, monotone | 75.896 | 82.396 | -6.500 | 0.92111 |
| KK, paired | 86.866 | 82.396 | +4.470 | 1.05425 |
| KTs, all flops | 14.665 | 61.789 | -47.124 | 0.23734 |
| KTs, rainbow, ten or higher | 13.044 | 61.789 | -48.745 | 0.21111 |
| KTs, rainbow, nine or lower | 7.111 | 61.789 | -54.678 | 0.11509 |
| KTs, two-tone | 16.281 | 61.789 | -45.508 | 0.26349 |
| KTs, monotone | 24.104 | 61.789 | -37.685 | 0.39010 |
| KTs, paired | 13.134 | 61.789 | -48.655 | 0.21256 |
Does a shared suit matter?
KK and KTs never overlap in suit in a legal deal, so the whole matchup sits in the no-shared-suit row.
| Deals | Specific deals | Share of deals | KK wins | Ties | KTs wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 84.751 | 1.167 | 14.082 | 85.335 |
How often this matchup comes up
KK against KTs is made up of 12 specific-card matchups in one seat order, 0.0007% of the 1,624,350 ordered deals, and 24 counting both seat orders, 0.0015%.
A worked example
Take a $200 pot built from $100 each. KK's equity of 85.34% is worth $170.68, a $70.68 edge, and KTs' 14.66% is worth $29.32, which is $70.68 under its stake.
Over a long run, 1,000 deals split into about 847 for KK, 141 for KTs and 12 tied.
The same matchup from the other side
KTs against KK adds nothing new: it is 14.66% for KTs and 85.34% for KK, the same figures reversed.
Keep exploring
The calculator link fills in KsKh against KdTd, 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 12 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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