66 vs K9s: preflop equity

Averaged over every possible board, 66 is ahead of K9s by 4.34 points of equity, 52.17% to 47.83%.

66

52.17%

Wins 51.93%, ties 0.49%

K9s

47.83%

Wins 47.58%, ties 0.49%

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

66 against K9s: the numbers

Exact preflop results for 66 against K9s, in percent
HandWinsTiesLosesEquity
6651.9280.48947.58352.172
K9s47.5830.48951.92847.828

The matchup pits a pocket pair against a suited hand. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.

This is close to even money, with 66 a little ahead. Ties are 0.49% of the outcomes here; each tied board gives both hands half the pot.

By strength against a random hand, 66 holds place 17 of 169 and K9s holds place 29.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
6621,340,000201,00019,554,000
K9s19,554,000201,00021,340,000

24 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.

66 against K9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
661.0911.9262.1020.917
K9s0.9172.1021.9261.091

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

Low rainbow flops (nine high or lower) are the best for 66 (62.53%); two-tone flops are the worst (50.51%). 66 stays ahead on all five textures.

66 against K9s by flop texture, in percent
FlopShare of flops66 winsTiesK9s wins66 equity
Rainbow, ten or higher25.22050.4560.24049.30450.576
Rainbow, nine or lower5.68962.2280.60537.16762.530
Two-tone46.54550.3650.28849.34750.509
Monotone5.21250.2472.47747.27651.485
Paired17.33455.3910.75243.85755.767

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: 63.29% for 66, 59.99% for K9s. Here the change is -11.12 and -12.16 points.

66 and K9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
66, all flops52.17263.285-11.1130.82440
66, rainbow, ten or higher50.57663.285-12.7090.79918
66, rainbow, nine or lower62.53063.285-0.7550.98807
66, two-tone50.50963.285-12.7760.79812
66, monotone51.48563.285-11.8000.81354
66, paired55.76763.285-7.5180.88120
K9s, all flops47.82859.988-12.1600.79729
K9s, rainbow, ten or higher49.42459.988-10.5640.82390
K9s, rainbow, nine or lower37.47059.988-22.5180.62462
K9s, two-tone49.49159.988-10.4970.82502
K9s, monotone48.51559.988-11.4730.80875
K9s, paired44.23359.988-15.7550.73736

Does a shared suit matter?

The suit split reads 52.35% for 66 with a shared suit and 52.00% without one. 66 does better with a shared suit, by 0.35 points.

66 against K9s by suit overlap, in percent
DealsSpecific dealsShare of deals66 winsTiesK9s wins66 equity
Share a suit1250.0052.0800.53147.38952.345
No shared suit1250.0051.7750.44747.77851.999

How often this matchup comes up

Counting specific cards, 66 against K9s appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says 66 gets $104.34 of it on average and K9s gets $95.66.

In 1,000 deals of exactly this matchup, expect about 519 won outright by 66, about 476 won outright by K9s and about 5 split.

The same matchup from the other side

K9s against 66 adds nothing new: it is 47.83% for K9s and 52.17% for 66, the same figures reversed.

Open the calculator with 6s6h against Kd9d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

Each figure is a complete count over boards. Take the 24 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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