KJs
74.19%
Wins 70.54%, ties 7.29%
K9o
25.81%
Wins 22.17%, ties 7.29%
KJs against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJs | 70.542 | 7.292 | 22.166 | 74.188 |
| K9o | 22.166 | 7.292 | 70.542 | 25.812 |
KJs and K9o are a suited hand and an offsuit hand, in that order. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
KJs is the clear favorite, though K9o gets there on roughly one board in 4. About 7.29% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Place 20 of 169 belongs to KJs and place 40 belongs to K9o in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJs | 43,484,000 | 4,495,000 | 13,664,000 |
| K9o | 13,664,000 | 4,495,000 | 43,484,000 |
36 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KJs | 2.874 | 1.418 | 4.511 | 0.348 |
| K9o | 0.348 | 4.511 | 1.418 | 2.874 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Across the five flop textures KJs' equity moves by 15.44 points, from 63.20% on low rainbow flops (nine high or lower) to 78.64% on rainbow flops topped by a ten or better. KJs 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 | KJs wins | Ties | K9o wins | KJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 75.781 | 5.715 | 18.504 | 78.639 |
| Rainbow, nine or lower | 7.042 | 61.800 | 2.803 | 35.397 | 63.202 |
| Two-tone | 46.527 | 72.747 | 4.808 | 22.445 | 75.151 |
| Monotone | 5.192 | 64.239 | 5.792 | 29.969 | 67.135 |
| Paired | 17.334 | 62.839 | 18.408 | 18.753 | 72.043 |
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
Each hand has a baseline against a random hand: 62.57% for KJs, 57.81% for K9o. Here the change is +11.62 and -32.00 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJs, all flops | 74.188 | 62.567 | +11.621 | 1.18574 |
| KJs, rainbow, ten or higher | 78.639 | 62.567 | +16.072 | 1.25688 |
| KJs, rainbow, nine or lower | 63.202 | 62.567 | +0.635 | 1.01015 |
| KJs, two-tone | 75.151 | 62.567 | +12.584 | 1.20113 |
| KJs, monotone | 67.135 | 62.567 | +4.568 | 1.07301 |
| KJs, paired | 72.043 | 62.567 | +9.476 | 1.15145 |
| K9o, all flops | 25.812 | 57.812 | -32.000 | 0.44648 |
| K9o, rainbow, ten or higher | 21.361 | 57.812 | -36.451 | 0.36949 |
| K9o, rainbow, nine or lower | 36.798 | 57.812 | -21.014 | 0.63651 |
| K9o, two-tone | 24.849 | 57.812 | -32.963 | 0.42982 |
| K9o, monotone | 32.865 | 57.812 | -24.947 | 0.56848 |
| K9o, paired | 27.957 | 57.812 | -29.855 | 0.48358 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (KJs at 73.97%) and 24 do not (74.30%). KJs does better with no shared suit, by 0.33 points.
| Deals | Specific deals | Share of deals | KJs wins | Ties | K9o wins | KJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 70.274 | 7.386 | 22.340 | 73.967 |
| No shared suit | 24 | 66.67 | 70.676 | 7.245 | 22.079 | 74.299 |
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
To see what the equity is worth, imagine $100 each in a $200 pot. KJs is worth $148.38 on average (+$48.38); K9o is worth $51.62 (-$48.38).
Scaled to 1,000 deals, that is roughly 705 wins for KJs, 222 for K9o and 73 chopped pots.
The same matchup from the other side
One page covers both views. From K9o's side the equity is 25.81%, and from KJs' side it is 74.19%.
Keep exploring
Open the calculator with KsJs against Kh9d 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 36 specific deals of KJs 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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