K9o vs J9s: preflop equity

In equity, K9o against J9s stands at 68.07% to 31.93%, a gap of 36.14 points.

K9o

68.07%

Wins 66.64%, ties 2.86%

J9s

31.93%

Wins 30.50%, ties 2.86%

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

K9o against J9s: the numbers

Exact preflop results for K9o against J9s, in percent
HandWinsTiesLosesEquity
K9o66.6362.85830.50668.065
J9s30.5062.85866.63631.935

The matchup pits an offsuit hand against a suited hand. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.

A lead of 36.14 points is large but not decisive: J9s still takes about 305 of every 1,000 deals. About 2.86% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

For context, K9o sits at number 40 of 169 starting hands and J9s at number 55 when each is run against a random hand.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
K9o41,076,0001,762,00018,805,000
J9s18,805,0001,762,00041,076,000

The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

K9o against J9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
K9o2.1311.5013.2780.469
J9s0.4693.2781.5012.131

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

K9o prefers low rainbow flops (nine high or lower), where it holds 80.01%, and likes monotone flops least, where it holds 63.84%. K9o stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

K9o against J9s by flop texture, in percent
FlopShare of flopsK9o winsTiesJ9s winsK9o equity
Rainbow, ten or higher24.63465.8682.18131.95166.959
Rainbow, nine or lower6.31478.0993.81118.09080.005
Two-tone46.52765.0642.36032.57666.244
Monotone5.19261.9583.76634.27663.841
Paired17.33369.1744.53626.29071.442

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

Each hand has a baseline against a random hand: 57.81% for K9o, 55.66% for J9s. Here the change is +10.26 and -23.73 points.

K9o and J9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
K9o, all flops68.06557.812+10.2531.17735
K9o, rainbow, ten or higher66.95957.812+9.1471.15822
K9o, rainbow, nine or lower80.00557.812+22.1931.38388
K9o, two-tone66.24457.812+8.4321.14585
K9o, monotone63.84157.812+6.0291.10429
K9o, paired71.44257.812+13.6301.23576
J9s, all flops31.93555.662-23.7270.57373
J9s, rainbow, ten or higher33.04155.662-22.6210.59360
J9s, rainbow, nine or lower19.99555.662-35.6670.35922
J9s, two-tone33.75655.662-21.9060.60645
J9s, monotone36.15955.662-19.5030.64962
J9s, paired28.55855.662-27.1040.51306

Does a shared suit matter?

Does suit overlap move the numbers? K9o has 69.09% when the hands share a suit and 67.55% when they do not. K9o does better with a shared suit, by 1.54 points.

K9o against J9s by suit overlap, in percent
DealsSpecific dealsShare of dealsK9o winsTiesJ9s winsK9o equity
Share a suit1233.3367.6222.94029.43869.092
No shared suit2466.6766.1432.81631.04167.551

How often this matchup comes up

You will meet this exact matchup 0.0044% of the time in a random heads-up deal: 72 of 1,624,350, counting either seat order.

A worked example

Take a $200 pot built from $100 each. K9o's equity of 68.07% is worth $136.14, a $36.14 edge, and J9s' 31.93% is worth $63.86, which is $36.14 under its stake.

In 1,000 deals of exactly this matchup, expect about 666 won outright by K9o, about 305 won outright by J9s and about 29 split.

The same matchup from the other side

If you came looking for J9s against K9o, the numbers are the same with the hands swapped: 31.93% and 68.07%.

The calculator link fills in Ks9h against Jd9d, 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

Nothing here is simulated. The 36 deals of K9o against J9s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

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

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