KJo
68.69%
Wins 67.28%, ties 2.81%
J9s
31.31%
Wins 29.91%, ties 2.81%
KJo against J9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 67.283 | 2.813 | 29.904 | 68.690 |
| J9s | 29.904 | 2.813 | 67.283 | 31.310 |
KJo, an offsuit hand, plays J9s, 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 the clear favorite, though J9s gets there on roughly one board in 3. The tie share is 2.81%: on those boards the pot is chopped and neither hand wins outright.
By strength against a random hand, KJo holds place 26 of 169 and J9s holds place 55.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 41,475,000 | 1,734,000 | 18,434,000 |
| J9s | 18,434,000 | 1,734,000 | 41,475,000 |
The total is exact: 36 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| KJo | 2.194 | 1.486 | 3.344 | 0.456 |
| J9s | 0.456 | 3.344 | 1.486 | 2.194 |
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
Across the five flop textures KJo's equity moves by 15.15 points, from 58.59% on low rainbow flops (nine high or lower) to 73.74% on rainbow flops topped by a ten or better. 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 | J9s wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 72.380 | 2.717 | 24.903 | 73.739 |
| Rainbow, nine or lower | 7.042 | 57.828 | 1.532 | 40.640 | 58.594 |
| Two-tone | 46.527 | 65.722 | 2.306 | 31.972 | 66.875 |
| Monotone | 5.192 | 62.454 | 3.750 | 33.796 | 64.329 |
| Paired | 17.334 | 69.732 | 4.546 | 25.722 | 72.005 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts KJo from 60.57% by +8.12 points and J9s from 55.66% by -24.35 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 68.690 | 60.569 | +8.121 | 1.13408 |
| KJo, rainbow, ten or higher | 73.739 | 60.569 | +13.170 | 1.21744 |
| KJo, rainbow, nine or lower | 58.594 | 60.569 | -1.975 | 0.96739 |
| KJo, two-tone | 66.875 | 60.569 | +6.306 | 1.10411 |
| KJo, monotone | 64.329 | 60.569 | +3.760 | 1.06208 |
| KJo, paired | 72.005 | 60.569 | +11.436 | 1.18881 |
| J9s, all flops | 31.310 | 55.662 | -24.352 | 0.56250 |
| J9s, rainbow, ten or higher | 26.261 | 55.662 | -29.401 | 0.47179 |
| J9s, rainbow, nine or lower | 41.406 | 55.662 | -14.256 | 0.74388 |
| J9s, two-tone | 33.125 | 55.662 | -22.537 | 0.59511 |
| J9s, monotone | 35.671 | 55.662 | -19.991 | 0.64085 |
| J9s, paired | 27.995 | 55.662 | -27.667 | 0.50295 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (KJo at 69.73%) and 24 do not (68.17%). KJo does better with a shared suit, by 1.56 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | J9s wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 68.277 | 2.908 | 28.815 | 69.731 |
| No shared suit | 24 | 66.67 | 66.787 | 2.765 | 30.448 | 68.169 |
How often this matchup comes up
Exactly 36 specific deals fit this matchup in one seat order, which is 0.0022% of 1,624,350; both orders together give 72, or 0.0044%.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. KJo is worth $137.38 on average (+$37.38); J9s is worth $62.62 (-$37.38).
Think in thousands: about 673 of 1,000 go to KJo, about 299 go to J9s, and about 28 are chopped.
The same matchup from the other side
If you came looking for J9s against KJo, the numbers are the same with the hands swapped: 31.31% and 68.69%.
Keep exploring
KsJh against Jd9d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
We counted every case. Each suit pattern of the 36 specific KJo against J9s 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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