KJs vs T9s: preflop equity

If KJs and T9s get all the chips in before the flop, KJs owns 63.30% of the pot in the long run and T9s owns 36.70%.

KJs

63.30%

Wins 62.95%, ties 0.70%

T9s

36.70%

Wins 36.35%, ties 0.70%

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

KJs against T9s: the numbers

Exact preflop results for KJs against T9s, in percent
HandWinsTiesLosesEquity
KJs62.9510.70036.34963.301
T9s36.3490.70062.95136.699

Here suited hands face each other, KJs on one side and T9s on the other. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are part of the picture: 0.70% of boards end in a split pot, and each side counts that as half a win.

Ranked by equity against a random hand, KJs is number 20 of the 169 starting hands and T9s is number 64.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJs17,247,000192,0009,958,000
T9s9,958,000192,00017,247,000

Exact total: 16 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 T9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJs1.7251.5892.7510.580
T9s0.5802.7511.5891.725

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

Rainbow flops topped by a ten or better are the best for KJs (66.58%); low rainbow flops (nine high or lower) are the worst (53.89%). KJs stays ahead on all five textures.

KJs against T9s by flop texture, in percent
FlopShare of flopsKJs winsTiesT9s winsKJs equity
Rainbow, ten or higher23.86766.4300.29033.28066.575
Rainbow, nine or lower7.04253.5310.71545.75453.889
Two-tone46.72762.4600.34737.19362.634
Monotone5.27358.5213.46538.01460.254
Paired17.09164.6831.37633.94165.371

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 KJs 62.57% and T9s 54.03%. Against each other the change is +0.73 points for KJs and -17.33 for T9s.

KJs and T9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJs, all flops63.30162.567+0.7341.01173
KJs, rainbow, ten or higher66.57562.567+4.0081.06406
KJs, rainbow, nine or lower53.88962.567-8.6780.86130
KJs, two-tone62.63462.567+0.0671.00107
KJs, monotone60.25462.567-2.3130.96303
KJs, paired65.37162.567+2.8041.04482
T9s, all flops36.69954.028-17.3290.67926
T9s, rainbow, ten or higher33.42554.028-20.6030.61866
T9s, rainbow, nine or lower46.11154.028-7.9170.85346
T9s, two-tone37.36654.028-16.6620.69160
T9s, monotone39.74654.028-14.2820.73566
T9s, paired34.62954.028-19.3990.64095

Does a shared suit matter?

The suit split reads 65.72% for KJs with a shared suit and 62.50% without one. KJs does better with a shared suit, by 3.22 points.

KJs against T9s by suit overlap, in percent
DealsSpecific dealsShare of dealsKJs winsTiesT9s winsKJs equity
Share a suit425.0065.3220.78533.89365.715
No shared suit1275.0062.1610.67137.16862.496

How often this matchup comes up

How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are KJs against T9s, and 32 (0.0020%) if either hand may sit in either seat.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, KJs' average share is $126.60 (a gain of $26.60) and T9s' is $73.40 (a loss of $26.60).

A thousand deals look like this: KJs takes 630, T9s takes 363, 7 are ties.

The same matchup from the other side

One page covers both views. From T9s' side the equity is 36.70%, and from KJs' side it is 63.30%.

KsJs against Th9h 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

Nothing here is simulated. The 16 deals of KJs against T9s 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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