KK
90.43%
Wins 89.83%, ties 1.20%
KTo
9.57%
Wins 8.97%, ties 1.20%
KK against KTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 89.831 | 1.197 | 8.972 | 90.430 |
| KTo | 8.972 | 1.197 | 89.831 | 9.570 |
We compare a pocket pair with an offsuit hand. The pair already holds one of the other hand's ranks, and that overlap cuts down the cards the other hand can pair with.
A gap this wide means KTo is in trouble before the flop and has few good runouts. A split pot comes up on 1.20% of boards, so the wins and the equity differ by half of that.
In the ranking of all 169 starting hands, KK is number 2 and KTo is number 33.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 55,374,000 | 738,000 | 5,531,000 |
| KTo | 5,531,000 | 738,000 | 55,374,000 |
Exact total: 36 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KK | 9.449 | 1.113 | 11.146 | 0.106 |
| KTo | 0.106 | 11.146 | 1.113 | 9.449 |
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
The flop changes the picture. KK does best on low rainbow flops (nine high or lower), at 96.14%, and worst on monotone flops, at 81.74%. KK stays ahead on all five textures.
| Flop | Share of flops | KK wins | Ties | KTo wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.053 | 89.148 | 1.444 | 9.408 | 89.870 |
| Rainbow, nine or lower | 7.771 | 95.595 | 1.090 | 3.315 | 96.140 |
| Two-tone | 46.215 | 89.628 | 1.292 | 9.080 | 90.274 |
| Monotone | 5.130 | 80.793 | 1.884 | 17.323 | 81.735 |
| Paired | 17.831 | 91.330 | 0.479 | 8.191 | 91.570 |
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
Compared with a random opponent, this matchup shifts KK from 82.40% by +8.03 points and KTo from 59.74% by -50.17 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 90.430 | 82.396 | +8.034 | 1.09750 |
| KK, rainbow, ten or higher | 89.870 | 82.396 | +7.474 | 1.09071 |
| KK, rainbow, nine or lower | 96.140 | 82.396 | +13.744 | 1.16680 |
| KK, two-tone | 90.274 | 82.396 | +7.878 | 1.09561 |
| KK, monotone | 81.735 | 82.396 | -0.661 | 0.99198 |
| KK, paired | 91.570 | 82.396 | +9.174 | 1.11134 |
| KTo, all flops | 9.570 | 59.739 | -50.169 | 0.16020 |
| KTo, rainbow, ten or higher | 10.130 | 59.739 | -49.609 | 0.16957 |
| KTo, rainbow, nine or lower | 3.860 | 59.739 | -55.879 | 0.06461 |
| KTo, two-tone | 9.726 | 59.739 | -50.013 | 0.16281 |
| KTo, monotone | 18.265 | 59.739 | -41.474 | 0.30575 |
| KTo, paired | 8.430 | 59.739 | -51.309 | 0.14111 |
Does a shared suit matter?
Split by suits, the deals give KK 90.71% when the hands overlap in a suit and 89.86% when they do not. KK does better with a shared suit, by 0.85 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | KTo wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 66.67 | 90.099 | 1.228 | 8.673 | 90.713 |
| No shared suit | 12 | 33.33 | 89.296 | 1.134 | 9.570 | 89.863 |
How often this matchup comes up
How often does it happen? 36 of the 1,624,350 ordered deals (0.0022%) are KK against KTo, and 72 (0.0044%) if either hand may sit in either seat.
A worked example
Take a $200 pot built from $100 each. KK's equity of 90.43% is worth $180.86, a $80.86 edge, and KTo's 9.57% is worth $19.14, which is $80.86 under its stake.
Per 1,000 deals: KK wins about 898, KTo wins about 90, and about 12 end in a split pot.
The same matchup from the other side
Read it from the other side: KTo against KK is the same matchup with the numbers swapped, so KTo holds 9.57% and KK holds 90.43%. That address sends you back to this page.
Keep exploring
Try KsKh against KdTc in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 36 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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