K9s vs 64s: preflop equity

In equity, K9s against 64s stands at 62.91% to 37.09%, a gap of 25.82 points.

K9s

62.91%

Wins 62.55%, ties 0.72%

64s

37.09%

Wins 36.73%, ties 0.72%

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

K9s against 64s: the numbers

Exact preflop results for K9s against 64s, in percent
HandWinsTiesLosesEquity
K9s62.5500.72436.72662.912
64s36.7260.72462.55037.088

K9s and 64s are both suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

K9s is ahead, but 64s is far from dead: it takes 367 of every 1,000 deals outright. 0.72% of boards are ties, so the equity of each hand is its win rate plus half of that.

Among the 169 starting hands, K9s is number 29 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
K9s17,137,000198,00010,062,000
64s10,062,000198,00017,137,000

Exact total: 16 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.

K9s against 64s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
K9s1.6961.5992.7230.590
64s0.5902.7231.5991.696

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

If you know the kind of flop that came, the numbers shift: K9s holds 67.02% on rainbow flops topped by a ten or better and 46.08% on low rainbow flops (nine high or lower). K9s is the favorite overall but falls behind on low rainbow flops (nine high or lower).

K9s against 64s by flop texture, in percent
FlopShare of flopsK9s winsTies64s winsK9s equity
Rainbow, ten or higher25.22066.8540.32632.82067.017
Rainbow, nine or lower5.68945.7140.72653.56046.077
Two-tone46.72762.0600.36637.57462.243
Monotone5.27358.3653.53238.10360.131
Paired17.09164.4361.42134.14365.147

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 K9s from 59.99% by +2.92 points and 64s from 41.33% by -4.24 points.

K9s and 64s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
K9s, all flops62.91259.988+2.9241.04874
K9s, rainbow, ten or higher67.01759.988+7.0291.11717
K9s, rainbow, nine or lower46.07759.988-13.9110.76810
K9s, two-tone62.24359.988+2.2551.03759
K9s, monotone60.13159.988+0.1431.00238
K9s, paired65.14759.988+5.1591.08600
64s, all flops37.08841.333-4.2450.89730
64s, rainbow, ten or higher32.98341.333-8.3500.79798
64s, rainbow, nine or lower53.92341.333+12.5901.30460
64s, two-tone37.75741.333-3.5760.91348
64s, monotone39.86941.333-1.4640.96458
64s, paired34.85341.333-6.4800.84322

Does a shared suit matter?

Of the deals of this matchup, 4 share a suit (K9s at 65.21%) and 12 do not (62.15%). K9s does better with a shared suit, by 3.06 points.

K9s against 64s by suit overlap, in percent
DealsSpecific dealsShare of dealsK9s winsTies64s winsK9s equity
Share a suit425.0064.8060.81334.38165.213
No shared suit1275.0061.7980.69437.50862.145

How often this matchup comes up

How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are K9s against 64s, and 32 (0.0020%) if either hand may sit in either seat.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average K9s takes back $125.82 of it, which is $25.82 more than it put in, and 64s takes back $74.18, $25.82 less than it put in.

Over a long run, 1,000 deals split into about 626 for K9s, 367 for 64s and 7 tied.

The same matchup from the other side

Swap the hands and you get 64s with 37.09% against K9s with 62.91%. We keep one page per matchup, with the better-ranked hand first.

Try Ks9s 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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