KK
90.87%
Wins 90.26%, ties 1.21%
KJo
9.13%
Wins 8.53%, ties 1.21%
KK against KJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KK | 90.260 | 1.211 | 8.529 | 90.865 |
| KJo | 8.529 | 1.211 | 90.260 | 9.135 |
KK is a pocket pair and KJo is 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 KJo is in trouble before the flop and has few good runouts. 1.21% of boards are ties, so the equity of each hand is its win rate plus half of that.
Place 2 of 169 belongs to KK and place 26 belongs to KJo in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KK | 55,639,000 | 746,000 | 5,258,000 |
| KJo | 5,258,000 | 746,000 | 55,639,000 |
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) |
|---|---|---|---|---|
| KK | 9.947 | 1.108 | 11.725 | 0.101 |
| KJo | 0.101 | 11.725 | 1.108 | 9.947 |
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
Across the five flop textures KK's equity moves by 15.67 points, from 82.09% on monotone flops to 97.76% 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 | KJo wins | KK equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.053 | 89.323 | 1.401 | 9.276 | 90.023 |
| Rainbow, nine or lower | 7.771 | 97.110 | 1.292 | 1.598 | 97.756 |
| Two-tone | 46.215 | 90.119 | 1.309 | 8.572 | 90.773 |
| Monotone | 5.130 | 81.142 | 1.896 | 16.962 | 82.090 |
| Paired | 17.831 | 91.474 | 0.479 | 8.047 | 91.714 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 82.40%, KK changes by +8.47 points, and KJo, from 60.57%, by -51.44.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KK, all flops | 90.865 | 82.396 | +8.469 | 1.10278 |
| KK, rainbow, ten or higher | 90.023 | 82.396 | +7.627 | 1.09257 |
| KK, rainbow, nine or lower | 97.756 | 82.396 | +15.360 | 1.18642 |
| KK, two-tone | 90.773 | 82.396 | +8.377 | 1.10167 |
| KK, monotone | 82.090 | 82.396 | -0.306 | 0.99629 |
| KK, paired | 91.714 | 82.396 | +9.318 | 1.11309 |
| KJo, all flops | 9.135 | 60.569 | -51.434 | 0.15082 |
| KJo, rainbow, ten or higher | 9.977 | 60.569 | -50.592 | 0.16472 |
| KJo, rainbow, nine or lower | 2.244 | 60.569 | -58.325 | 0.03705 |
| KJo, two-tone | 9.227 | 60.569 | -51.342 | 0.15234 |
| KJo, monotone | 17.910 | 60.569 | -42.659 | 0.29570 |
| KJo, paired | 8.286 | 60.569 | -52.283 | 0.13680 |
Does a shared suit matter?
The suit split reads 91.15% for KK with a shared suit and 90.29% without one. KK does better with a shared suit, by 0.86 points.
| Deals | Specific deals | Share of deals | KK wins | Ties | KJo wins | KK equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 66.67 | 90.531 | 1.242 | 8.227 | 91.152 |
| No shared suit | 12 | 33.33 | 89.718 | 1.148 | 9.134 | 90.292 |
How often this matchup comes up
You will meet this exact matchup 0.0044% of the time in a random heads-up deal: 72 of 1,624,350, counting either seat order.
A worked example
With $100 from each side, the $200 pot is split on average as $181.74 for KK and $18.26 for KJo; the first side gains $81.74 per all-in and the second gives up $81.74.
Run 1,000 deals and the tally comes out near 903 for KK, 85 for KJo and 12 ties.
The same matchup from the other side
If you came looking for KJo against KK, the numbers are the same with the hands swapped: 9.13% and 90.87%.
Keep exploring
The calculator link fills in KsKh against KdJc, 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 36 specific deals of KK against KJo, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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