KTo vs 64s: preflop equity

Counting every board, the equity split is 60.63% for KTo and 39.37% for 64s, so KTo leads by 21.26 points.

KTo

60.63%

Wins 60.29%, ties 0.67%

64s

39.37%

Wins 39.04%, ties 0.67%

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

KTo against 64s: the numbers

Exact preflop results for KTo against 64s, in percent
HandWinsTiesLosesEquity
KTo60.2940.67039.03660.629
64s39.0360.67060.29439.371

KTo, an offsuit hand, plays 64s, a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

KTo is ahead, but 64s is far from dead: it takes 390 of every 1,000 deals outright. 0.67% of boards are ties, so the equity of each hand is its win rate plus half of that.

Among the 169 starting hands, KTo is number 33 and 64s is number 138 by strength against a random hand.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KTo49,556,000551,00032,084,000
64s32,084,000551,00049,556,000

The total is exact: 48 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.

KTo against 64s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KTo1.5401.6592.5620.649
64s0.6492.5621.6591.540

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

Rainbow flops topped by a ten or better are the best for KTo (69.00%); low rainbow flops (nine high or lower) are the worst (34.24%). The lead reverses on low rainbow flops (nine high or lower): there 64s is the favorite even though KTo is ahead overall.

KTo against 64s by flop texture, in percent
FlopShare of flopsKTo winsTies64s winsKTo equity
Rainbow, ten or higher24.71768.8390.32130.84069.000
Rainbow, nine or lower6.31333.9010.67765.42234.239
Two-tone46.66758.8870.37240.74159.073
Monotone5.21257.5662.48939.94558.811
Paired17.09162.3611.42836.21163.075

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

Relative to a random opponent, KTo changes by +0.89 points (baseline 59.74%) and 64s by -1.96 points (baseline 41.33%).

KTo and 64s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KTo, all flops60.62959.739+0.8901.01490
KTo, rainbow, ten or higher69.00059.739+9.2611.15502
KTo, rainbow, nine or lower34.23959.739-25.5000.57314
KTo, two-tone59.07359.739-0.6660.98885
KTo, monotone58.81159.739-0.9280.98447
KTo, paired63.07559.739+3.3361.05584
64s, all flops39.37141.333-1.9620.95253
64s, rainbow, ten or higher31.00041.333-10.3330.75001
64s, rainbow, nine or lower65.76141.333+24.4281.59100
64s, two-tone40.92741.333-0.4060.99018
64s, monotone41.18941.333-0.1440.99652
64s, paired36.92541.333-4.4080.89335

Does a shared suit matter?

Does suit overlap move the numbers? KTo has 61.34% when the hands share a suit and 59.92% when they do not. KTo does better with a shared suit, by 1.42 points.

KTo against 64s by suit overlap, in percent
DealsSpecific dealsShare of dealsKTo winsTies64s winsKTo equity
Share a suit2450.0060.9850.71138.30461.341
No shared suit2450.0059.6030.62839.76959.917

How often this matchup comes up

KTo against 64s is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.

A worked example

Put $100 each into a $200 pot and deal every board once: KTo averages $121.26 back, ahead of its $100 by $21.26, while 64s averages $78.74, short of its $100 by $21.26.

Over a long run, 1,000 deals split into about 603 for KTo, 390 for 64s and 7 tied.

The same matchup from the other side

If you came looking for 64s against KTo, the numbers are the same with the hands swapped: 39.37% and 60.63%.

KsTh against 6d4d 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

We counted every case. Each suit pattern of the 48 specific KTo against 64s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

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