KTs vs 64s: preflop equity

The exact count puts KTs at 63.14% and 64s at 36.86% when the two hands see all five board cards.

KTs

63.14%

Wins 62.78%, ties 0.71%

64s

36.86%

Wins 36.51%, ties 0.71%

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

KTs against 64s: the numbers

Exact preflop results for KTs against 64s, in percent
HandWinsTiesLosesEquity
KTs62.7840.70636.51063.137
64s36.5100.70662.78436.863

The matchup is suited hands on both sides, KTs against 64s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

A 26.28 point lead is real, and 64s still takes about 365 of every 1,000 deals outright. About 0.71% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

Among the 169 starting hands, KTs is number 22 and 64s is number 138 by strength against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KTs17,201,000193,00010,003,000
64s10,003,000193,00017,201,000

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.

KTs against 64s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KTs1.7131.5932.7390.584
64s0.5842.7391.5931.713

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

By flop texture, KTs' equity runs from 36.71% on low rainbow flops (nine high or lower) up to 70.30% on rainbow flops topped by a ten or better. Watch for low rainbow flops (nine high or lower): on those flops 64s holds the better equity.

KTs against 64s by flop texture, in percent
FlopShare of flopsKTs winsTies64s winsKTs equity
Rainbow, ten or higher24.59570.1410.31229.54770.297
Rainbow, nine or lower6.31436.3820.65062.96836.707
Two-tone46.72762.3060.35237.34262.482
Monotone5.27358.5443.52637.93060.307
Paired17.09164.5631.39034.04765.258

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

Each hand has a baseline against a random hand: 61.79% for KTs, 41.33% for 64s. Here the change is +1.35 and -4.47 points.

KTs and 64s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KTs, all flops63.13761.789+1.3481.02182
KTs, rainbow, ten or higher70.29761.789+8.5081.13769
KTs, rainbow, nine or lower36.70761.789-25.0820.59407
KTs, two-tone62.48261.789+0.6931.01122
KTs, monotone60.30761.789-1.4820.97602
KTs, paired65.25861.789+3.4691.05614
64s, all flops36.86341.333-4.4700.89185
64s, rainbow, ten or higher29.70341.333-11.6300.71863
64s, rainbow, nine or lower63.29341.333+21.9601.53129
64s, two-tone37.51841.333-3.8150.90770
64s, monotone39.69341.333-1.6400.96032
64s, paired34.74241.333-6.5910.84054

Does a shared suit matter?

Split by suits, the deals give KTs 65.46% when the hands overlap in a suit and 62.36% when they do not. KTs does better with a shared suit, by 3.10 points.

KTs against 64s by suit overlap, in percent
DealsSpecific dealsShare of dealsKTs winsTies64s winsKTs equity
Share a suit425.0065.0630.79534.14265.461
No shared suit1275.0062.0240.67637.30062.362

How often this matchup comes up

Counting specific cards, KTs against 64s appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, KTs' average share is $126.28 (a gain of $26.28) and 64s' is $73.72 (a loss of $26.28).

Scaled to 1,000 deals, that is roughly 628 wins for KTs, 365 for 64s and 7 chopped pots.

The same matchup from the other side

Read it from the other side: 64s against KTs is the same matchup with the numbers swapped, so 64s holds 36.86% and KTs holds 63.14%. That address sends you back to this page.

Try KsTs against 6h4h 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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