KJo
68.89%
Wins 65.25%, ties 7.28%
K9s
31.11%
Wins 27.47%, ties 7.28%
KJo against K9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 65.250 | 7.278 | 27.472 | 68.889 |
| K9s | 27.472 | 7.278 | 65.250 | 31.111 |
We compare an offsuit hand with a suited hand. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
KJo is well ahead, and K9s needs a specific kind of board to catch up. The tie share is 7.28%: on those boards the pot is chopped and neither hand wins outright.
For context, KJo sits at number 26 of 169 starting hands and K9s at number 29 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 40,222,000 | 4,486,000 | 16,935,000 |
| K9s | 16,935,000 | 4,486,000 | 40,222,000 |
Exact total: 36 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) |
|---|---|---|---|---|
| KJo | 2.214 | 1.533 | 3.640 | 0.452 |
| K9s | 0.452 | 3.640 | 1.533 | 2.214 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
The flop changes the picture. KJo does best on rainbow flops topped by a ten or better, at 75.57%, and worst on low rainbow flops (nine high or lower), at 59.62%. KJo 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 | KJo wins | Ties | K9s wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 72.713 | 5.711 | 21.576 | 75.569 |
| Rainbow, nine or lower | 7.042 | 58.213 | 2.807 | 38.980 | 59.617 |
| Two-tone | 46.527 | 65.755 | 4.786 | 29.459 | 68.148 |
| Monotone | 5.192 | 61.081 | 5.753 | 33.166 | 63.958 |
| Paired | 17.334 | 57.710 | 18.402 | 23.888 | 66.911 |
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
Against one random hand instead, KJo holds 60.57% and K9s holds 59.99%. Facing each other changes that by +8.32 points for KJo and -28.88 points for K9s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 68.889 | 60.569 | +8.320 | 1.13736 |
| KJo, rainbow, ten or higher | 75.569 | 60.569 | +15.000 | 1.24765 |
| KJo, rainbow, nine or lower | 59.617 | 60.569 | -0.952 | 0.98428 |
| KJo, two-tone | 68.148 | 60.569 | +7.579 | 1.12513 |
| KJo, monotone | 63.958 | 60.569 | +3.389 | 1.05595 |
| KJo, paired | 66.911 | 60.569 | +6.342 | 1.10471 |
| K9s, all flops | 31.111 | 59.988 | -28.877 | 0.51862 |
| K9s, rainbow, ten or higher | 24.431 | 59.988 | -35.557 | 0.40726 |
| K9s, rainbow, nine or lower | 40.383 | 59.988 | -19.605 | 0.67318 |
| K9s, two-tone | 31.852 | 59.988 | -28.136 | 0.53097 |
| K9s, monotone | 36.042 | 59.988 | -23.946 | 0.60082 |
| K9s, paired | 33.089 | 59.988 | -26.899 | 0.55159 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and KJo holds 69.65%. In 24 they do not, and it holds 68.51%. KJo does better with a shared suit, by 1.14 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | K9s wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 65.959 | 7.386 | 26.655 | 69.652 |
| No shared suit | 24 | 66.67 | 64.896 | 7.224 | 27.880 | 68.508 |
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
Worked example: both players commit $100, so $200 sits in the middle. Over every board, KJo's average share is $137.78 (a gain of $37.78) and K9s' is $62.22 (a loss of $37.78).
Think in thousands: about 652 of 1,000 go to KJo, about 275 go to K9s, and about 73 are chopped.
The same matchup from the other side
Read it from the other side: K9s against KJo is the same matchup with the numbers swapped, so K9s holds 31.11% and KJo holds 68.89%. That address sends you back to this page.
Keep exploring
Try KsJh against Kd9d 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
We counted every case. Each suit pattern of the 36 specific KJo against K9s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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