KK vs 65s: preflop equity

The exact count puts KK at 77.51% and 65s at 22.49% when the two hands see all five board cards.

KK

77.51%

Wins 77.31%, ties 0.40%

65s

22.49%

Wins 22.29%, ties 0.40%

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

KK against 65s: the numbers

Exact preflop results for KK against 65s, in percent
HandWinsTiesLosesEquity
KK77.3050.40422.29177.507
65s22.2910.40477.30522.493

KK is a pocket pair and 65s is a suited hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.

That is a clear edge, 77.51% to 22.49%, but 65s still wins often enough that one hand proves nothing. Split pots make up 0.40% of the boards, and both equity figures count them as half a win each.

Ranked by equity against a random hand, KK is number 2 of the 169 starting hands and 65s is number 128.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KK31,769,000166,0009,161,000
65s9,161,000166,00031,769,000

The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

KK against 65s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KK3.4461.2944.4860.290
65s0.2904.4861.2943.446

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, KK peaks at 83.73% on rainbow flops topped by a ten or better and bottoms out at 59.57% on low rainbow flops (nine high or lower). KK stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

KK against 65s by flop texture, in percent
FlopShare of flopsKK winsTies65s winsKK equity
Rainbow, ten or higher24.59583.6250.20516.17083.728
Rainbow, nine or lower6.31459.1150.90339.98259.566
Two-tone46.54575.3200.32924.35175.485
Monotone5.21271.3242.45026.22672.549
Paired17.33482.0870.09217.82182.133

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, 82.40% for KK and 43.13% for 65s. This opponent changes them by -4.89 and -20.64 points.

KK and 65s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KK, all flops77.50782.396-4.8890.94066
KK, rainbow, ten or higher83.72882.396+1.3321.01617
KK, rainbow, nine or lower59.56682.396-22.8300.72292
KK, two-tone75.48582.396-6.9110.91612
KK, monotone72.54982.396-9.8470.88049
KK, paired82.13382.396-0.2630.99681
65s, all flops22.49343.133-20.6400.52148
65s, rainbow, ten or higher16.27243.133-26.8610.37725
65s, rainbow, nine or lower40.43443.133-2.6990.93743
65s, two-tone24.51543.133-18.6180.56836
65s, monotone27.45143.133-15.6820.63643
65s, paired17.86743.133-25.2660.41423

Does a shared suit matter?

Looking only at deals where the hands share a suit, KK has 78.06%; looking only at deals where they do not, 76.95%. KK does better with a shared suit, by 1.11 points.

KK against 65s by suit overlap, in percent
DealsSpecific dealsShare of dealsKK winsTies65s winsKK equity
Share a suit1250.0077.8400.44621.71478.063
No shared suit1250.0076.7690.36222.86976.950

How often this matchup comes up

Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.

A worked example

Put $100 each into a $200 pot and deal every board once: KK averages $155.02 back, ahead of its $100 by $55.02, while 65s averages $44.98, short of its $100 by $55.02.

Out of 1,000 deals you should see around 773 outright wins for KK, 223 for 65s, and 4 split pots.

The same matchup from the other side

The mirror image, 65s against KK, is 22.49% to 77.51%, and its address redirects to this page.

Open the calculator with KsKh against 6d5d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

This is an exact count with no sampling. For the 24 ways to deal one KK and one 65s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

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