KK vs 64s: preflop equity

Counting every board, the equity split is 79.15% for KK and 20.85% for 64s, so KK leads by 58.30 points.

KK

79.15%

Wins 78.95%, ties 0.41%

64s

20.85%

Wins 20.64%, ties 0.41%

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

KK against 64s: the numbers

Exact preflop results for KK against 64s, in percent
HandWinsTiesLosesEquity
KK78.9450.41420.64179.152
64s20.6410.41478.94520.848

Here a pocket pair (KK) meets a suited hand (64s). The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.

KK is well ahead, and 64s needs a specific kind of board to catch up. Ties are part of the picture: 0.41% of boards end in a split pot, and each side counts that as half a win.

KK ranks number 2 of 169 starting hands, and 64s ranks number 138, by equity against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KK32,443,000170,0008,482,000
64s8,482,000170,00032,443,000

The total is exact: 24 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

KK against 64s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KK3.7971.2674.8450.263
64s0.2634.8451.2673.797

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

Break the boards down by their first three cards and KK is strongest on rainbow flops topped by a ten or better (84.93%) and weakest on low rainbow flops (nine high or lower) (64.26%). 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 64s by flop texture, in percent
FlopShare of flopsKK winsTies64s winsKK equity
Rainbow, ten or higher24.59584.8320.20514.96384.934
Rainbow, nine or lower6.31463.7760.97135.25364.261
Two-tone46.54577.0730.33922.58877.243
Monotone5.21272.6162.45824.92673.845
Paired17.33483.0470.09216.86183.093

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

Compared with a random opponent, this matchup shifts KK from 82.40% by -3.25 points and 64s from 41.33% by -20.48 points.

KK and 64s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KK, all flops79.15282.396-3.2440.96063
KK, rainbow, ten or higher84.93482.396+2.5381.03080
KK, rainbow, nine or lower64.26182.396-18.1350.77990
KK, two-tone77.24382.396-5.1530.93746
KK, monotone73.84582.396-8.5510.89622
KK, paired83.09382.396+0.6971.00846
64s, all flops20.84841.333-20.4850.50439
64s, rainbow, ten or higher15.06641.333-26.2670.36450
64s, rainbow, nine or lower35.73941.333-5.5940.86466
64s, two-tone22.75741.333-18.5760.55058
64s, monotone26.15541.333-15.1780.63279
64s, paired16.90741.333-24.4260.40904

Does a shared suit matter?

Split by suits, the deals give KK 79.74% when the hands overlap in a suit and 78.57% when they do not. KK does better with a shared suit, by 1.17 points.

KK against 64s by suit overlap, in percent
DealsSpecific dealsShare of dealsKK winsTies64s winsKK equity
Share a suit1250.0079.5070.45520.03879.735
No shared suit1250.0078.3830.37221.24578.569

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

Take a $200 pot built from $100 each. KK's equity of 79.15% is worth $158.30, a $58.30 edge, and 64s' 20.85% is worth $41.70, which is $58.30 under its stake.

In 1,000 deals of exactly this matchup, expect about 790 won outright by KK, about 206 won outright by 64s and about 4 split.

The same matchup from the other side

64s against KK adds nothing new: it is 20.85% for 64s and 79.15% for KK, the same figures reversed.

The calculator link fills in KsKh against 6d4d, 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

This is an exact count with no sampling. For the 24 ways to deal one KK and one 64s 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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