JJ
71.33%
Wins 71.13%, ties 0.39%
KTo
28.67%
Wins 28.48%, ties 0.39%
JJ against KTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 71.134 | 0.388 | 28.478 | 71.328 |
| KTo | 28.478 | 0.388 | 71.134 | 28.672 |
JJ is a pocket pair and KTo is an offsuit hand. The pair is ahead of one card and behind the other, so the board decides how that plays out.
A lead of 42.66 points is large but not decisive: KTo still takes about 285 of every 1,000 deals. Of every 100 boards, about 0.39 are split pots, and the equity figures already include them.
In the ranking of all 169 starting hands, JJ is number 4 and KTo is number 33.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 87,698,000 | 478,000 | 35,109,000 |
| KTo | 35,109,000 | 478,000 | 87,698,000 |
The board total is exact, 72 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 | 2.488 | 1.406 | 3.511 | 0.402 |
| KTo | 0.402 | 3.511 | 1.406 | 2.488 |
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
Split by what the flop looks like, JJ peaks at 84.49% on low rainbow flops (nine high or lower) and bottoms out at 66.58% on monotone flops. 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 | KTo wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 66.544 | 0.145 | 33.311 | 66.617 |
| Rainbow, nine or lower | 7.771 | 83.997 | 0.992 | 15.011 | 84.493 |
| Two-tone | 46.485 | 70.415 | 0.342 | 29.243 | 70.586 |
| Monotone | 5.151 | 65.724 | 1.720 | 32.556 | 66.584 |
| Paired | 17.333 | 75.060 | 0.172 | 24.768 | 75.146 |
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
Start from the random-hand figures, 77.47% for JJ and 59.74% for KTo. This opponent changes them by -6.14 and -31.07 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 71.328 | 77.469 | -6.141 | 0.92073 |
| JJ, rainbow, ten or higher | 66.617 | 77.469 | -10.852 | 0.85992 |
| JJ, rainbow, nine or lower | 84.493 | 77.469 | +7.024 | 1.09067 |
| JJ, two-tone | 70.586 | 77.469 | -6.883 | 0.91115 |
| JJ, monotone | 66.584 | 77.469 | -10.885 | 0.85949 |
| JJ, paired | 75.146 | 77.469 | -2.323 | 0.97001 |
| KTo, all flops | 28.672 | 59.739 | -31.067 | 0.47995 |
| KTo, rainbow, ten or higher | 33.383 | 59.739 | -26.356 | 0.55881 |
| KTo, rainbow, nine or lower | 15.507 | 59.739 | -44.232 | 0.25958 |
| KTo, two-tone | 29.414 | 59.739 | -30.325 | 0.49238 |
| KTo, monotone | 33.416 | 59.739 | -26.323 | 0.55937 |
| KTo, paired | 24.854 | 59.739 | -34.885 | 0.41604 |
Does a shared suit matter?
Does suit overlap move the numbers? JJ has 71.36% when the hands share a suit and 71.16% when they do not. The two rows differ by only 0.20 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | JJ wins | Ties | KTo wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 71.159 | 0.404 | 28.437 | 71.361 |
| No shared suit | 12 | 16.67 | 71.006 | 0.309 | 28.685 | 71.161 |
How often this matchup comes up
Exactly 72 specific deals fit this matchup in one seat order, which is 0.0044% of 1,624,350; both orders together give 144, or 0.0089%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average JJ takes back $142.66 of it, which is $42.66 more than it put in, and KTo takes back $57.34, $42.66 less than it put in.
Scaled to 1,000 deals, that is roughly 711 wins for JJ, 285 for KTo and 4 chopped pots.
The same matchup from the other side
The mirror image, KTo against JJ, is 28.67% to 71.33%, and its address redirects to this page.
Keep exploring
Open the calculator with JsJh against KdTc already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 72 specific deals of JJ against KTo, 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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