JJ
68.29%
Wins 67.46%, ties 1.65%
KJo
31.71%
Wins 30.89%, ties 1.65%
JJ against KJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 67.461 | 1.651 | 30.888 | 68.287 |
| KJo | 30.888 | 1.651 | 67.461 | 31.713 |
We compare a pocket pair with an offsuit hand. One hand holds a card of the same rank as the pair, which removes a card the pair needs and makes the pair a bigger favorite.
JJ is the clear favorite, though KJo gets there on roughly one board in 3. Of every 100 boards, about 1.65 are split pots, and the equity figures already include them.
Among the 169 starting hands, JJ is number 4 and KJo is number 26 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 41,585,000 | 1,018,000 | 19,040,000 |
| KJo | 19,040,000 | 1,018,000 | 41,585,000 |
The board total is exact, 36 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) |
|---|---|---|---|---|
| JJ | 2.153 | 1.482 | 3.238 | 0.464 |
| KJo | 0.464 | 3.238 | 1.482 | 2.153 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
By flop texture, JJ's equity runs from 61.39% on monotone flops up to 85.70% on low rainbow flops (nine high or lower). JJ 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 | JJ wins | Ties | KJo wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.053 | 60.617 | 1.883 | 37.500 | 61.559 |
| Rainbow, nine or lower | 7.771 | 84.708 | 1.980 | 13.312 | 85.698 |
| Two-tone | 46.215 | 65.984 | 1.819 | 32.197 | 66.893 |
| Monotone | 5.130 | 60.270 | 2.240 | 37.490 | 61.390 |
| Paired | 17.831 | 74.688 | 0.608 | 24.704 | 74.992 |
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
The table below sets each hand against its own random-hand baseline: a change of -9.18 points for JJ, from 77.47%, and -28.86 for KJo, from 60.57%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 68.287 | 77.469 | -9.182 | 0.88148 |
| JJ, rainbow, ten or higher | 61.559 | 77.469 | -15.910 | 0.79463 |
| JJ, rainbow, nine or lower | 85.698 | 77.469 | +8.229 | 1.10622 |
| JJ, two-tone | 66.893 | 77.469 | -10.576 | 0.86348 |
| JJ, monotone | 61.390 | 77.469 | -16.079 | 0.79245 |
| JJ, paired | 74.992 | 77.469 | -2.477 | 0.96803 |
| KJo, all flops | 31.713 | 60.569 | -28.856 | 0.52358 |
| KJo, rainbow, ten or higher | 38.441 | 60.569 | -22.128 | 0.63466 |
| KJo, rainbow, nine or lower | 14.302 | 60.569 | -46.267 | 0.23613 |
| KJo, two-tone | 33.107 | 60.569 | -27.462 | 0.54660 |
| KJo, monotone | 38.610 | 60.569 | -21.959 | 0.63745 |
| KJo, paired | 25.008 | 60.569 | -35.561 | 0.41288 |
Does a shared suit matter?
Of the deals of this matchup, 24 share a suit (JJ at 68.22%) and 12 do not (68.43%). The two rows differ by only 0.21 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | JJ wins | Ties | KJo wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 66.67 | 67.374 | 1.685 | 30.941 | 68.217 |
| No shared suit | 12 | 33.33 | 67.634 | 1.585 | 30.781 | 68.426 |
How often this matchup comes up
The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average JJ takes back $136.58 of it, which is $36.58 more than it put in, and KJo takes back $63.42, $36.58 less than it put in.
Per 1,000 deals: JJ wins about 675, KJo wins about 309, and about 16 end in a split pot.
The same matchup from the other side
One page covers both views. From KJo's side the equity is 31.71%, and from JJ's side it is 68.29%.
Keep exploring
Try JsJh against KdJc 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
Method: exact enumeration. The 36 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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