K9o vs 64s: preflop equity

In equity, K9o against 64s stands at 60.39% to 39.61%, a gap of 20.78 points.

K9o

60.39%

Wins 60.04%, ties 0.69%

64s

39.61%

Wins 39.27%, ties 0.69%

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

K9o against 64s: the numbers

Exact preflop results for K9o against 64s, in percent
HandWinsTiesLosesEquity
K9o60.0420.68739.27160.386
64s39.2710.68760.04239.614

The first hand is an offsuit hand; the second is a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. About 0.69% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

The hand ranking puts K9o at 40 and 64s at 138 out of 169 starting hands.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
K9o49,349,000565,00032,277,000
64s32,277,000565,00049,349,000

Exact total: 48 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

K9o against 64s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
K9o1.5241.6662.5460.656
64s0.6562.5461.6661.524

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

K9o prefers rainbow flops topped by a ten or better, where it holds 65.60%, and likes low rainbow flops (nine high or lower) least, where it holds 44.03%. 64s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.

K9o against 64s by flop texture, in percent
FlopShare of flopsK9o winsTies64s winsK9o equity
Rainbow, ten or higher25.34165.4310.33334.23665.597
Rainbow, nine or lower5.68943.6530.75555.59244.030
Two-tone46.66758.6140.38641.00058.807
Monotone5.21257.3652.49640.13958.613
Paired17.09162.2261.45936.31562.956

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

Compared with a random opponent, this matchup shifts K9o from 57.81% by +2.58 points and 64s from 41.33% by -1.72 points.

K9o and 64s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
K9o, all flops60.38657.812+2.5741.04452
K9o, rainbow, ten or higher65.59757.812+7.7851.13466
K9o, rainbow, nine or lower44.03057.812-13.7820.76161
K9o, two-tone58.80757.812+0.9951.01721
K9o, monotone58.61357.812+0.8011.01386
K9o, paired62.95657.812+5.1441.08898
64s, all flops39.61441.333-1.7190.95841
64s, rainbow, ten or higher34.40341.333-6.9300.83234
64s, rainbow, nine or lower55.97041.333+14.6371.35412
64s, two-tone41.19341.333-0.1400.99661
64s, monotone41.38741.333+0.0541.00131
64s, paired37.04441.333-4.2890.89623

Does a shared suit matter?

When the hands share a suit, K9o holds 61.10%; when they do not, it holds 59.68%. K9o does better with a shared suit, by 1.42 points.

K9o against 64s by suit overlap, in percent
DealsSpecific dealsShare of dealsK9o winsTies64s winsK9o equity
Share a suit2450.0060.7320.72838.54061.096
No shared suit2450.0059.3520.64640.00259.675

How often this matchup comes up

The class pair covers 48 combinations of specific cards in a fixed seat order, 0.0030% of 1,624,350, and 96 (0.0059%) in either order.

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. K9o is worth $120.78 on average (+$20.78); 64s is worth $79.22 (-$20.78).

Run 1,000 deals and the tally comes out near 600 for K9o, 393 for 64s and 7 ties.

The same matchup from the other side

64s against K9o adds nothing new: it is 39.61% for 64s and 60.39% for K9o, the same figures reversed.

The calculator link fills in Ks9h 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

Each figure is a complete count over boards. Take the 48 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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