KJs vs J9s: preflop equity

Dealt all in against each other, KJs takes 69.82% of the pot on average and J9s takes the other 30.18%.

KJs

69.82%

Wins 68.45%, ties 2.74%

J9s

30.18%

Wins 28.81%, ties 2.74%

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

KJs against J9s: the numbers

Exact preflop results for KJs against J9s, in percent
HandWinsTiesLosesEquity
KJs68.4452.74228.81369.816
J9s28.8132.74268.44530.184

Two suited hands meet here: KJs against J9s. 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.

KJs is well ahead, and J9s needs a specific kind of board to catch up. About 2.74% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

The hand ranking puts KJs at 20 and J9s at 55 out of 169 starting hands.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJs14,064,000563,0005,920,000
J9s5,920,000563,00014,064,000

Exact total: 12 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.

KJs against J9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJs2.3131.4613.4710.432
J9s0.4323.4711.4612.313

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

Rainbow flops topped by a ten or better are the best for KJs (74.42%); low rainbow flops (nine high or lower) are the worst (60.08%). KJs stays ahead on all five textures.

KJs against J9s by flop texture, in percent
FlopShare of flopsKJs winsTiesJ9s winsKJs equity
Rainbow, ten or higher23.86773.1002.64924.25174.424
Rainbow, nine or lower7.04259.3511.45539.19460.078
Two-tone46.54367.4332.14630.42168.506
Monotone5.21560.8934.59634.51163.191
Paired17.33370.7194.43624.84572.937

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

A random hand would give KJs 62.57% and J9s 55.66%. Against each other the change is +7.25 points for KJs and -25.48 for J9s.

KJs and J9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJs, all flops69.81662.567+7.2491.11586
KJs, rainbow, ten or higher74.42462.567+11.8571.18951
KJs, rainbow, nine or lower60.07862.567-2.4890.96022
KJs, two-tone68.50662.567+5.9391.09492
KJs, monotone63.19162.567+0.6241.00997
KJs, paired72.93762.567+10.3701.16574
J9s, all flops30.18455.662-25.4780.54227
J9s, rainbow, ten or higher25.57655.662-30.0860.45949
J9s, rainbow, nine or lower39.92255.662-15.7400.71722
J9s, two-tone31.49455.662-24.1680.56581
J9s, monotone36.80955.662-18.8530.66129
J9s, paired27.06355.662-28.5990.48620

Does a shared suit matter?

KJs and J9s never overlap in suit in a legal deal, so the whole matchup sits in the no-shared-suit row.

KJs against J9s by suit overlap, in percent
DealsSpecific dealsShare of dealsKJs winsTiesJ9s winsKJs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0068.4452.74228.81369.816

How often this matchup comes up

KJs against J9s is made up of 12 specific-card matchups in one seat order, 0.0007% of the 1,624,350 ordered deals, and 24 counting both seat orders, 0.0015%.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, KJs' average share is $139.64 (a gain of $39.64) and J9s' is $60.36 (a loss of $39.64).

Think in thousands: about 685 of 1,000 go to KJs, about 288 go to J9s, and about 27 are chopped.

The same matchup from the other side

Swap the hands and you get J9s with 30.18% against KJs with 69.82%. We keep one page per matchup, with the better-ranked hand first.

Try KsJs 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

Method: exact enumeration. The 12 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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