JJ
71.97%
Wins 71.78%, ties 0.38%
K9o
28.03%
Wins 27.84%, ties 0.38%
JJ against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| JJ | 71.780 | 0.379 | 27.841 | 71.970 |
| K9o | 27.841 | 0.379 | 71.780 | 28.030 |
Here a pocket pair (JJ) meets an offsuit hand (K9o). One of the other hand's cards outranks the pair and one is below it, which makes this a closer race than a pair against two small cards.
A lead of 43.94 points is large but not decisive: K9o still takes about 278 of every 1,000 deals. A split pot comes up on 0.38% of boards, so the wins and the equity differ by half of that.
In the ranking of all 169 starting hands, JJ is number 4 and K9o is number 40.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| JJ | 88,495,000 | 467,000 | 34,324,000 |
| K9o | 34,324,000 | 467,000 | 88,495,000 |
Exact total: 72 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) |
|---|---|---|---|---|
| JJ | 2.568 | 1.393 | 3.592 | 0.389 |
| K9o | 0.389 | 3.592 | 1.393 | 2.568 |
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: JJ holds 82.13% on low rainbow flops (nine high or lower) and 67.20% on monotone flops. JJ stays ahead on all five textures.
| Flop | Share of flops | JJ wins | Ties | K9o wins | JJ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 68.839 | 0.149 | 31.012 | 68.914 |
| Rainbow, nine or lower | 7.042 | 81.623 | 1.015 | 17.362 | 82.131 |
| Two-tone | 46.485 | 71.218 | 0.331 | 28.451 | 71.384 |
| Monotone | 5.151 | 66.341 | 1.713 | 31.946 | 67.198 |
| Paired | 17.334 | 74.974 | 0.172 | 24.854 | 75.060 |
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
A random hand would give JJ 77.47% and K9o 57.81%. Against each other the change is -5.50 points for JJ and -29.78 for K9o.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| JJ, all flops | 71.970 | 77.469 | -5.499 | 0.92902 |
| JJ, rainbow, ten or higher | 68.914 | 77.469 | -8.555 | 0.88957 |
| JJ, rainbow, nine or lower | 82.131 | 77.469 | +4.662 | 1.06018 |
| JJ, two-tone | 71.384 | 77.469 | -6.085 | 0.92145 |
| JJ, monotone | 67.198 | 77.469 | -10.271 | 0.86742 |
| JJ, paired | 75.060 | 77.469 | -2.409 | 0.96890 |
| K9o, all flops | 28.030 | 57.812 | -29.782 | 0.48485 |
| K9o, rainbow, ten or higher | 31.086 | 57.812 | -26.726 | 0.53771 |
| K9o, rainbow, nine or lower | 17.869 | 57.812 | -39.943 | 0.30909 |
| K9o, two-tone | 28.616 | 57.812 | -29.196 | 0.49498 |
| K9o, monotone | 32.802 | 57.812 | -25.010 | 0.56739 |
| K9o, paired | 24.940 | 57.812 | -32.872 | 0.43140 |
Does a shared suit matter?
Two kinds of deal exist here. In 60 of them the hands share a suit and JJ holds 72.01%. In 12 they do not, and it holds 71.79%. The two rows differ by only 0.22 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | JJ wins | Ties | K9o wins | JJ equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 71.809 | 0.395 | 27.796 | 72.006 |
| No shared suit | 12 | 16.67 | 71.636 | 0.300 | 28.064 | 71.786 |
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
Worked example: both players commit $100, so $200 sits in the middle. Over every board, JJ's average share is $143.94 (a gain of $43.94) and K9o's is $56.06 (a loss of $43.94).
Out of 1,000 deals you should see around 718 outright wins for JJ, 278 for K9o, and 4 split pots.
The same matchup from the other side
K9o against JJ adds nothing new: it is 28.03% for K9o and 71.97% for JJ, the same figures reversed.
Keep exploring
Try JsJh against Kd9c 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 72 specific deals of JJ against K9o, 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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