KJs vs KQo: preflop equity

In equity, KQo against KJs stands at 69.75% to 30.25%, a gap of 39.50 points.

KJs

30.25%

Wins 27.56%, ties 5.38%

KQo

69.75%

Wins 67.06%, ties 5.38%

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

KJs against KQo: the numbers

Exact preflop results for KJs against KQo, in percent
HandWinsTiesLosesEquity
KJs27.5645.37567.06130.252
KQo67.0615.37527.56469.748

The matchup pits a suited hand against an offsuit hand. 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.

A lead of 39.50 points is large but not decisive: KJs still takes about 276 of every 1,000 deals. Split pots make up 5.38% of the boards, and both equity figures count them as half a win each.

In the ranking of all 169 starting hands, KJs is number 20 and KQo is number 23.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJs16,991,0003,313,00041,338,000
KQo41,338,0003,313,00016,991,000

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.

KJs against KQo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJs0.4343.6281.4912.306
KQo2.3061.4913.6280.434

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

Low rainbow flops (nine high or lower) are the best for KQo (82.12%); monotone flops are the worst (64.50%). KQo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

KJs against KQo by flop texture, in percent
FlopShare of flopsKJs winsTiesKQo winsKJs equity
Rainbow, ten or higher23.17728.8663.31267.82230.522
Rainbow, nine or lower7.77115.9493.86280.18917.880
Two-tone46.52729.5143.28867.19831.158
Monotone5.19233.2054.58962.20635.499
Paired17.33324.10714.64861.24531.431

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

Against one random hand instead, KJs holds 62.57% and KQo holds 61.46%. Facing each other changes that by -32.32 points for KJs and +8.29 points for KQo.

KJs and KQo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJs, all flops30.25262.567-32.3150.48351
KJs, rainbow, ten or higher30.52262.567-32.0450.48783
KJs, rainbow, nine or lower17.88062.567-44.6870.28577
KJs, two-tone31.15862.567-31.4090.49799
KJs, monotone35.49962.567-27.0680.56738
KJs, paired31.43162.567-31.1360.50236
KQo, all flops69.74861.456+8.2921.13493
KQo, rainbow, ten or higher69.47861.456+8.0221.13053
KQo, rainbow, nine or lower82.12061.456+20.6641.33624
KQo, two-tone68.84261.456+7.3861.12018
KQo, monotone64.50161.456+3.0451.04955
KQo, paired68.56961.456+7.1131.11574

Does a shared suit matter?

The suit split reads 70.47% for KQo with a shared suit and 69.39% without one. KQo does better with a shared suit, by 1.08 points.

KJs against KQo by suit overlap, in percent
DealsSpecific dealsShare of dealsKJs winsTiesKQo winsKJs equity
Share a suit1233.3326.8065.45867.73629.535
No shared suit2466.6727.9445.33366.72330.610

How often this matchup comes up

The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.

A worked example

Take a $200 pot built from $100 each. KQo's equity of 69.75% is worth $139.50, a $39.50 edge, and KJs' 30.25% is worth $60.50, which is $39.50 under its stake.

A thousand deals look like this: KQo takes 670, KJs takes 276, 54 are ties.

The same matchup from the other side

KQo against KJs adds nothing new: it is 69.75% for KQo and 30.25% for KJs, the same figures reversed.

The calculator link fills in KsJs against KhQd, 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 36 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.

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