KJs vs 98s: preflop equity

Counting every board, the equity split is 62.71% for KJs and 37.29% for 98s, so KJs leads by 25.42 points.

KJs

62.71%

Wins 62.37%, ties 0.69%

98s

37.29%

Wins 36.94%, ties 0.69%

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

KJs against 98s: the numbers

Exact preflop results for KJs against 98s, in percent
HandWinsTiesLosesEquity
KJs62.3700.68536.94562.712
98s36.9450.68562.37037.288

Here suited hands face each other, KJs on one side and 98s on the other. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are 0.69% of the outcomes here; each tied board gives both hands half the pot.

By strength against a random hand, KJs holds place 20 of 169 and 98s holds place 83.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJs17,087,000188,00010,122,000
98s10,122,000188,00017,087,000

16 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.

KJs against 98s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJs1.6821.6032.7070.595
98s0.5952.7071.6031.682

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

Break the boards down by their first three cards and KJs is strongest on rainbow flops topped by a ten or better (68.76%) and weakest on low rainbow flops (nine high or lower) (40.70%). Watch for low rainbow flops (nine high or lower): on those flops 98s holds the better equity.

KJs against 98s by flop texture, in percent
FlopShare of flopsKJs winsTies98s winsKJs equity
Rainbow, ten or higher24.59568.6090.29731.09468.757
Rainbow, nine or lower6.31440.3690.65258.97940.695
Two-tone46.72761.9080.33637.75662.076
Monotone5.27358.1613.46138.37859.891
Paired17.09164.0791.35734.56464.758

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

Against one random hand instead, KJs holds 62.57% and 98s holds 50.80%. Facing each other changes that by +0.14 points for KJs and -13.51 points for 98s.

KJs and 98s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJs, all flops62.71262.567+0.1451.00232
KJs, rainbow, ten or higher68.75762.567+6.1901.09893
KJs, rainbow, nine or lower40.69562.567-21.8720.65042
KJs, two-tone62.07662.567-0.4910.99215
KJs, monotone59.89162.567-2.6760.95723
KJs, paired64.75862.567+2.1911.03502
98s, all flops37.28850.801-13.5130.73400
98s, rainbow, ten or higher31.24350.801-19.5580.61501
98s, rainbow, nine or lower59.30550.801+8.5041.16740
98s, two-tone37.92450.801-12.8770.74652
98s, monotone40.10950.801-10.6920.78953
98s, paired35.24250.801-15.5590.69373

Does a shared suit matter?

Does suit overlap move the numbers? KJs has 65.04% when the hands share a suit and 61.94% when they do not. KJs does better with a shared suit, by 3.10 points.

KJs against 98s by suit overlap, in percent
DealsSpecific dealsShare of dealsKJs winsTies98s winsKJs equity
Share a suit425.0064.6500.77234.57865.036
No shared suit1275.0061.6090.65737.73461.938

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 16 are KJs in one seat and 98s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. KJs is worth $125.42 on average (+$25.42); 98s is worth $74.58 (-$25.42).

Run 1,000 deals and the tally comes out near 624 for KJs, 369 for 98s and 7 ties.

The same matchup from the other side

Swap the hands and you get 98s with 37.29% against KJs with 62.71%. We keep one page per matchup, with the better-ranked hand first.

KsJs against 9h8h 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

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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