KJs vs 65s: preflop equity

If KJs and 65s get all the chips in before the flop, KJs owns 61.91% of the pot in the long run and 65s owns 38.09%.

KJs

61.91%

Wins 61.56%, ties 0.70%

65s

38.09%

Wins 37.74%, ties 0.70%

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

KJs against 65s: the numbers

Exact preflop results for KJs against 65s, in percent
HandWinsTiesLosesEquity
KJs61.5600.70337.73761.912
65s37.7370.70361.56038.088

The matchup is suited hands on both sides, KJs against 65s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

The lead is steady rather than large, and the flop still has plenty of say in who wins. About 0.70% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

By strength against a random hand, KJs holds place 20 of 169 and 65s holds place 128.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJs16,866,000193,00010,339,000
65s10,339,000193,00016,866,000

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 65s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJs1.6251.6242.6500.615
65s0.6152.6501.6241.625

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

Break the boards down by their first three cards and KJs is strongest on rainbow flops topped by a ten or better (69.48%) and weakest on low rainbow flops (nine high or lower) (33.03%). The lead reverses on low rainbow flops (nine high or lower): there 65s is the favorite even though KJs is ahead overall.

KJs against 65s by flop texture, in percent
FlopShare of flopsKJs winsTies65s winsKJs equity
Rainbow, ten or higher24.59569.3430.28330.37469.484
Rainbow, nine or lower6.31432.6540.75566.59133.031
Two-tone46.72761.0730.35238.57561.249
Monotone5.27357.6283.52238.85059.389
Paired17.09163.5831.38235.03564.274

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

Each hand has a baseline against a random hand: 62.57% for KJs, 43.13% for 65s. Here the change is -0.66 and -5.04 points.

KJs and 65s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJs, all flops61.91262.567-0.6550.98953
KJs, rainbow, ten or higher69.48462.567+6.9171.11055
KJs, rainbow, nine or lower33.03162.567-29.5360.52793
KJs, two-tone61.24962.567-1.3180.97893
KJs, monotone59.38962.567-3.1780.94921
KJs, paired64.27462.567+1.7071.02728
65s, all flops38.08843.133-5.0450.88304
65s, rainbow, ten or higher30.51643.133-12.6170.70749
65s, rainbow, nine or lower66.96943.133+23.8361.55262
65s, two-tone38.75143.133-4.3820.89841
65s, monotone40.61143.133-2.5220.94153
65s, paired35.72643.133-7.4070.82828

Does a shared suit matter?

The suit split reads 64.09% for KJs with a shared suit and 61.19% without one. KJs does better with a shared suit, by 2.90 points.

KJs against 65s by suit overlap, in percent
DealsSpecific dealsShare of dealsKJs winsTies65s winsKJs equity
Share a suit425.0063.6900.79335.51764.087
No shared suit1275.0060.8500.67438.47661.187

How often this matchup comes up

This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).

A worked example

Put $100 each into a $200 pot and deal every board once: KJs averages $123.82 back, ahead of its $100 by $23.82, while 65s averages $76.18, short of its $100 by $23.82.

Out of 1,000 deals you should see around 616 outright wins for KJs, 377 for 65s, and 7 split pots.

The same matchup from the other side

Read it from the other side: 65s against KJs is the same matchup with the numbers swapped, so 65s holds 38.09% and KJs holds 61.91%. That address sends you back to this page.

Try KsJs against 6h5h 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

Method: exact enumeration. The 16 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.

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

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