KJo
60.25%
Wins 59.91%, ties 0.68%
Q9s
39.75%
Wins 39.41%, ties 0.68%
KJo against Q9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 59.905 | 0.682 | 39.413 | 60.246 |
| Q9s | 39.413 | 0.682 | 59.905 | 39.754 |
KJo and Q9s are an offsuit hand and a suited hand, in that order. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 20.50 point lead is real, and Q9s still takes about 394 of every 1,000 deals outright. A split pot comes up on 0.68% of boards, so the wins and the equity differ by half of that.
Among the 169 starting hands, KJo is number 26 and Q9s is number 43 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 49,236,000 | 561,000 | 32,394,000 |
| Q9s | 32,394,000 | 561,000 | 49,236,000 |
The board total is exact, 48 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) |
|---|---|---|---|---|
| KJo | 1.515 | 1.669 | 2.537 | 0.660 |
| Q9s | 0.660 | 2.537 | 1.669 | 1.515 |
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
Break the boards down by their first three cards and KJo is strongest on rainbow flops topped by a ten or better (63.21%) and weakest on low rainbow flops (nine high or lower) (56.06%). KJo stays ahead on all five textures.
| Flop | Share of flops | KJo wins | Ties | Q9s wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 63.073 | 0.264 | 36.663 | 63.205 |
| Rainbow, nine or lower | 7.042 | 55.577 | 0.961 | 43.462 | 56.058 |
| Two-tone | 46.667 | 58.439 | 0.390 | 41.171 | 58.634 |
| Monotone | 5.212 | 56.254 | 2.461 | 41.285 | 57.484 |
| Paired | 17.091 | 62.359 | 1.406 | 36.235 | 63.062 |
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: 60.57% for KJo, 57.66% for Q9s. Here the change is -0.32 and -17.91 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 60.246 | 60.569 | -0.323 | 0.99467 |
| KJo, rainbow, ten or higher | 63.205 | 60.569 | +2.636 | 1.04352 |
| KJo, rainbow, nine or lower | 56.058 | 60.569 | -4.511 | 0.92552 |
| KJo, two-tone | 58.634 | 60.569 | -1.935 | 0.96805 |
| KJo, monotone | 57.484 | 60.569 | -3.085 | 0.94907 |
| KJo, paired | 63.062 | 60.569 | +2.493 | 1.04116 |
| Q9s, all flops | 39.754 | 57.664 | -17.910 | 0.68941 |
| Q9s, rainbow, ten or higher | 36.795 | 57.664 | -20.869 | 0.63809 |
| Q9s, rainbow, nine or lower | 43.942 | 57.664 | -13.722 | 0.76204 |
| Q9s, two-tone | 41.366 | 57.664 | -16.298 | 0.71736 |
| Q9s, monotone | 42.516 | 57.664 | -15.148 | 0.73731 |
| Q9s, paired | 36.938 | 57.664 | -20.726 | 0.64057 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, KJo has 60.80%; looking only at deals where they do not, 59.70%. KJo does better with a shared suit, by 1.10 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | Q9s wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.436 | 0.722 | 38.842 | 60.797 |
| No shared suit | 24 | 50.00 | 59.375 | 0.641 | 39.984 | 59.695 |
How often this matchup comes up
The class pair covers 48 combinations of specific cards in a fixed seat order, 0.0030% of 1,624,350, and 96 (0.0059%) in either order.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says KJo gets $120.50 of it on average and Q9s gets $79.50.
Over a long run, 1,000 deals split into about 599 for KJo, 394 for Q9s and 7 tied.
The same matchup from the other side
The reversed view, Q9s against KJo, shows 39.75% for Q9s and 60.25% for KJo. It is the same count, so it redirects here.
Keep exploring
KsJh against Qd9d 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
Nothing here is simulated. The 48 deals of KJo against Q9s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session