KQs vs QJo: preflop equity

Counting every board, the equity split is 74.92% for KQs and 25.08% for QJo, so KQs leads by 49.84 points.

KQs

74.92%

Wins 73.70%, ties 2.45%

QJo

25.08%

Wins 23.85%, ties 2.45%

Equity counts a tie as half a win. Exact over every board.

KQs against QJo: the numbers

Exact preflop results for KQs against QJo, in percent
HandWinsTiesLosesEquity
KQs73.6992.44923.85274.924
QJo23.8522.44973.69925.076

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.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KQs45,430,0001,510,00014,703,000
QJo14,703,0001,510,00045,430,000

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.

KQs against QJo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KQs2.9881.3574.1930.335
QJo0.3354.1931.3572.988

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.

KQs against QJo by flop texture, in percent
FlopShare of flopsKQs winsTiesQJo winsKQs equity
Rainbow, ten or higher23.17770.1062.26327.63171.237
Rainbow, nine or lower7.77184.7641.21014.02685.369
Two-tone46.52773.9061.89524.19974.854
Monotone5.19265.2763.46331.26167.007
Paired17.33375.5114.43720.05277.730

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%.

KQs and QJo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KQs, all flops74.92463.400+11.5241.18177
KQs, rainbow, ten or higher71.23763.400+7.8371.12361
KQs, rainbow, nine or lower85.36963.400+21.9691.34651
KQs, two-tone74.85463.400+11.4541.18066
KQs, monotone67.00763.400+3.6071.05689
KQs, paired77.73063.400+14.3301.22603
QJo, all flops25.07658.135-33.0590.43134
QJo, rainbow, ten or higher28.76358.135-29.3720.49476
QJo, rainbow, nine or lower14.63158.135-43.5040.25167
QJo, two-tone25.14658.135-32.9890.43254
QJo, monotone32.99358.135-25.1420.56752
QJo, paired22.27058.135-35.8650.38307

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.

KQs against QJo by suit overlap, in percent
DealsSpecific dealsShare of dealsKQs winsTiesQJo winsKQs equity
Share a suit1233.3373.4672.53024.00374.732
No shared suit2466.6773.8162.40823.77675.020

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.

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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