KQs
74.92%
Wins 73.70%, ties 2.45%
QJo
25.08%
Wins 23.85%, ties 2.45%
KQs against QJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQs | 73.699 | 2.449 | 23.852 | 74.924 |
| QJo | 23.852 | 2.449 | 73.699 | 25.076 |
KQs and QJo 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.
KQs is well ahead, and QJo needs a specific kind of board to catch up. 2.45% of boards are ties, so the equity of each hand is its win rate plus half of that.
For context, KQs sits at number 16 of 169 starting hands and QJo at number 39 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQs | 45,430,000 | 1,510,000 | 14,703,000 |
| QJo | 14,703,000 | 1,510,000 | 45,430,000 |
The board total is exact, 36 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) |
|---|---|---|---|---|
| KQs | 2.988 | 1.357 | 4.193 | 0.335 |
| QJo | 0.335 | 4.193 | 1.357 | 2.988 |
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
Split by what the flop looks like, KQs peaks at 85.37% on low rainbow flops (nine high or lower) and bottoms out at 67.01% on monotone flops. KQs 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 | KQs wins | Ties | QJo wins | KQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 70.106 | 2.263 | 27.631 | 71.237 |
| Rainbow, nine or lower | 7.771 | 84.764 | 1.210 | 14.026 | 85.369 |
| Two-tone | 46.527 | 73.906 | 1.895 | 24.199 | 74.854 |
| Monotone | 5.192 | 65.276 | 3.463 | 31.261 | 67.007 |
| Paired | 17.333 | 75.511 | 4.437 | 20.052 | 77.730 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of +11.52 points for KQs, from 63.40%, and -33.06 for QJo, from 58.14%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQs, all flops | 74.924 | 63.400 | +11.524 | 1.18177 |
| KQs, rainbow, ten or higher | 71.237 | 63.400 | +7.837 | 1.12361 |
| KQs, rainbow, nine or lower | 85.369 | 63.400 | +21.969 | 1.34651 |
| KQs, two-tone | 74.854 | 63.400 | +11.454 | 1.18066 |
| KQs, monotone | 67.007 | 63.400 | +3.607 | 1.05689 |
| KQs, paired | 77.730 | 63.400 | +14.330 | 1.22603 |
| QJo, all flops | 25.076 | 58.135 | -33.059 | 0.43134 |
| QJo, rainbow, ten or higher | 28.763 | 58.135 | -29.372 | 0.49476 |
| QJo, rainbow, nine or lower | 14.631 | 58.135 | -43.504 | 0.25167 |
| QJo, two-tone | 25.146 | 58.135 | -32.989 | 0.43254 |
| QJo, monotone | 32.993 | 58.135 | -25.142 | 0.56752 |
| QJo, paired | 22.270 | 58.135 | -35.865 | 0.38307 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (KQs at 74.73%) and 24 do not (75.02%). KQs does better with no shared suit, by 0.29 points.
| Deals | Specific deals | Share of deals | KQs wins | Ties | QJo wins | KQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 73.467 | 2.530 | 24.003 | 74.732 |
| No shared suit | 24 | 66.67 | 73.816 | 2.408 | 23.776 | 75.020 |
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
Worked example: both players commit $100, so $200 sits in the middle. Over every board, KQs' average share is $149.84 (a gain of $49.84) and QJo's is $50.16 (a loss of $49.84).
Out of 1,000 deals you should see around 737 outright wins for KQs, 239 for QJo, and 24 split pots.
The same matchup from the other side
Swap the hands and you get QJo with 25.08% against KQs with 74.92%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Try KsQs against QhJd 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
Nothing here is simulated. The 36 deals of KQs against QJo 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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