QJs
45.50%
Wins 45.16%, ties 0.68%
K9o
54.50%
Wins 54.16%, ties 0.68%
QJs against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJs | 45.158 | 0.680 | 54.162 | 45.498 |
| K9o | 54.162 | 0.680 | 45.158 | 54.502 |
One side is a suited hand, the other is an offsuit hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
K9o leads by less than 9 points of equity, so the result of any one deal is close to a toss-up. Ties are part of the picture: 0.68% of boards end in a split pot, and each side counts that as half a win.
For context, QJs sits at number 28 of 169 starting hands and K9o at number 40 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJs | 37,116,000 | 559,000 | 44,516,000 |
| K9o | 44,516,000 | 559,000 | 37,116,000 |
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) |
|---|---|---|---|---|
| QJs | 0.835 | 2.214 | 1.846 | 1.198 |
| K9o | 1.198 | 1.846 | 2.214 | 0.835 |
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
By flop texture, K9o's equity runs from 50.03% on rainbow flops topped by a ten or better up to 71.66% on low rainbow flops (nine high or lower). K9o 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 | QJs wins | Ties | K9o wins | QJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 49.841 | 0.263 | 49.896 | 49.972 |
| Rainbow, nine or lower | 7.042 | 27.867 | 0.956 | 71.177 | 28.345 |
| Two-tone | 46.667 | 47.413 | 0.388 | 52.199 | 47.607 |
| Monotone | 5.212 | 46.117 | 2.460 | 51.423 | 47.347 |
| Paired | 17.091 | 39.258 | 1.406 | 59.336 | 39.961 |
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
A random hand would give QJs 60.26% and K9o 57.81%. Against each other the change is -14.76 points for QJs and -3.31 for K9o.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJs, all flops | 45.498 | 60.259 | -14.761 | 0.75504 |
| QJs, rainbow, ten or higher | 49.972 | 60.259 | -10.287 | 0.82929 |
| QJs, rainbow, nine or lower | 28.345 | 60.259 | -31.914 | 0.47039 |
| QJs, two-tone | 47.607 | 60.259 | -12.652 | 0.79004 |
| QJs, monotone | 47.347 | 60.259 | -12.912 | 0.78572 |
| QJs, paired | 39.961 | 60.259 | -20.298 | 0.66315 |
| K9o, all flops | 54.502 | 57.812 | -3.310 | 0.94275 |
| K9o, rainbow, ten or higher | 50.028 | 57.812 | -7.784 | 0.86536 |
| K9o, rainbow, nine or lower | 71.655 | 57.812 | +13.843 | 1.23945 |
| K9o, two-tone | 52.393 | 57.812 | -5.419 | 0.90627 |
| K9o, monotone | 52.653 | 57.812 | -5.159 | 0.91076 |
| K9o, paired | 60.039 | 57.812 | +2.227 | 1.03852 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and K9o holds 54.95%. In 24 they do not, and it holds 54.06%. K9o does better with a shared suit, by 0.89 points.
| Deals | Specific deals | Share of deals | QJs wins | Ties | K9o wins | QJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 44.692 | 0.721 | 54.587 | 45.052 |
| No shared suit | 24 | 50.00 | 45.623 | 0.640 | 53.737 | 45.943 |
How often this matchup comes up
Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.
A worked example
With $100 from each side, the $200 pot is split on average as $109.00 for K9o and $91.00 for QJs; the first side gains $9.00 per all-in and the second gives up $9.00.
A thousand deals look like this: K9o takes 542, QJs takes 451, 7 are ties.
The same matchup from the other side
Swap the hands and you get K9o with 54.50% against QJs with 45.50%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in QsJs against Kh9d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Nothing here is simulated. The 48 deals of QJs against K9o 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.
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