KJs vs 64s: preflop equity

Before any board card is dealt, KJs holds 63.16% equity against 64s, which leaves 64s with 36.84%.

KJs

63.16%

Wins 62.81%, ties 0.71%

64s

36.84%

Wins 36.48%, ties 0.71%

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

KJs against 64s: the numbers

Exact preflop results for KJs against 64s, in percent
HandWinsTiesLosesEquity
KJs62.8070.71336.48063.163
64s36.4800.71362.80736.837

Each side holds one of the suited hands: KJs and 64s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

A 26.32 point lead is real, and 64s still takes about 365 of every 1,000 deals outright. The tie share is 0.71%: on those boards the pot is chopped and neither hand wins outright.

For context, KJs sits at number 20 of 169 starting hands and 64s at number 138 when each is run against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJs17,207,000195,0009,994,000
64s9,994,000195,00017,207,000

16 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.

KJs against 64s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJs1.7151.5922.7410.583
64s0.5832.7411.5921.715

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

Split by what the flop looks like, KJs peaks at 70.54% on rainbow flops topped by a ten or better and bottoms out at 35.91% on low rainbow flops (nine high or lower). 64s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.

KJs against 64s by flop texture, in percent
FlopShare of flopsKJs winsTies64s winsKJs equity
Rainbow, ten or higher24.59570.4010.28329.31670.543
Rainbow, nine or lower6.31435.5020.82163.67735.913
Two-tone46.72762.3330.36137.30662.514
Monotone5.27358.5693.53137.90060.334
Paired17.09164.5681.38634.04665.261

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

Start from the random-hand figures, 62.57% for KJs and 41.33% for 64s. This opponent changes them by +0.59 and -4.49 points.

KJs and 64s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJs, all flops63.16362.567+0.5961.00953
KJs, rainbow, ten or higher70.54362.567+7.9761.12748
KJs, rainbow, nine or lower35.91362.567-26.6540.57399
KJs, two-tone62.51462.567-0.0530.99915
KJs, monotone60.33462.567-2.2330.96431
KJs, paired65.26162.567+2.6941.04306
64s, all flops36.83741.333-4.4960.89122
64s, rainbow, ten or higher29.45741.333-11.8760.71268
64s, rainbow, nine or lower64.08741.333+22.7541.55050
64s, two-tone37.48641.333-3.8470.90693
64s, monotone39.66641.333-1.6670.95967
64s, paired34.73941.333-6.5940.84047

Does a shared suit matter?

Split by suits, the deals give KJs 65.49% when the hands overlap in a suit and 62.39% when they do not. KJs does better with a shared suit, by 3.10 points.

KJs against 64s by suit overlap, in percent
DealsSpecific dealsShare of dealsKJs winsTies64s winsKJs equity
Share a suit425.0065.0870.80434.10965.489
No shared suit1275.0062.0470.68337.27062.388

How often this matchup comes up

The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.

A worked example

Take a $200 pot built from $100 each. KJs' equity of 63.16% is worth $126.32, a $26.32 edge, and 64s' 36.84% is worth $73.68, which is $26.32 under its stake.

A thousand deals look like this: KJs takes 628, 64s takes 365, 7 are ties.

The same matchup from the other side

The reversed view, 64s against KJs, shows 36.84% for 64s and 63.16% for KJs. It is the same count, so it redirects here.

KsJs against 6h4h 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 16 deals of KJs against 64s 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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