K9s vs J9s: preflop equity

Averaged over every possible board, K9s is ahead of J9s by 38.46 points of equity, 69.23% to 30.77%.

K9s

69.23%

Wins 67.84%, ties 2.77%

J9s

30.77%

Wins 29.39%, ties 2.77%

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

K9s against J9s: the numbers

Exact preflop results for K9s against J9s, in percent
HandWinsTiesLosesEquity
K9s67.8402.77329.38769.226
J9s29.3872.77367.84030.774

Here suited hands face each other, K9s on one side and J9s on the other. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

That is a clear edge, 69.23% to 30.77%, but J9s still wins often enough that one hand proves nothing. The tie share is 2.77%: on those boards the pot is chopped and neither hand wins outright.

K9s ranks number 29 of 169 starting hands, and J9s ranks number 55, by equity against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
K9s13,940,000570,0006,038,000
J9s6,038,000570,00013,940,000

The total is exact: 12 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

K9s against J9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
K9s2.2491.4743.4030.445
J9s0.4453.4031.4742.249

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

The flop changes the picture. K9s does best on low rainbow flops (nine high or lower), at 80.65%, and worst on monotone flops, at 62.73%. K9s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

K9s against J9s by flop texture, in percent
FlopShare of flopsK9s winsTiesJ9s winsK9s equity
Rainbow, ten or higher24.59566.8442.12331.03367.905
Rainbow, nine or lower6.31478.8183.65617.52680.646
Two-tone46.54366.8332.18130.98667.924
Monotone5.21560.4394.58134.98062.730
Paired17.33370.1854.41825.39772.394

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

A random hand would give K9s 59.99% and J9s 55.66%. Against each other the change is +9.24 points for K9s and -24.89 for J9s.

K9s and J9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
K9s, all flops69.22659.988+9.2381.15400
K9s, rainbow, ten or higher67.90559.988+7.9171.13198
K9s, rainbow, nine or lower80.64659.988+20.6581.34437
K9s, two-tone67.92459.988+7.9361.13229
K9s, monotone62.73059.988+2.7421.04571
K9s, paired72.39459.988+12.4061.20681
J9s, all flops30.77455.662-24.8880.55287
J9s, rainbow, ten or higher32.09555.662-23.5670.57661
J9s, rainbow, nine or lower19.35455.662-36.3080.34771
J9s, two-tone32.07655.662-23.5860.57626
J9s, monotone37.27055.662-18.3920.66958
J9s, paired27.60655.662-28.0560.49596

Does a shared suit matter?

A shared suit is impossible for this matchup, so K9s' 69.23% is the answer for every suit pattern.

K9s against J9s by suit overlap, in percent
DealsSpecific dealsShare of dealsK9s winsTiesJ9s winsK9s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0067.8402.77329.38769.226

How often this matchup comes up

Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.

A worked example

Put $100 each into a $200 pot and deal every board once: K9s averages $138.46 back, ahead of its $100 by $38.46, while J9s averages $61.54, short of its $100 by $38.46.

Over a long run, 1,000 deals split into about 678 for K9s, 294 for J9s and 28 tied.

The same matchup from the other side

The reversed view, J9s against K9s, shows 30.77% for J9s and 69.23% for K9s. It is the same count, so it redirects here.

Try Ks9s against Jh9h 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

Each figure is a complete count over boards. Take the 12 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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