KJs vs KTs: preflop equity

Counting every board, the equity split is 69.91% for KJs and 30.09% for KTs, so KJs leads by 39.82 points.

KJs

69.91%

Wins 66.32%, ties 7.16%

KTs

30.09%

Wins 26.52%, ties 7.16%

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

KJs against KTs: the numbers

Exact preflop results for KJs against KTs, in percent
HandWinsTiesLosesEquity
KJs66.3247.16326.51369.905
KTs26.5137.16366.32430.095

Here suited hands face each other, KJs on one side and KTs on the other. 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 KTs needs a specific kind of board to catch up. About 7.16% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

For context, KJs sits at number 20 of 169 starting hands and KTs at number 22 when each is run against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJs13,628,0001,472,0005,448,000
KTs5,448,0001,472,00013,628,000

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.

KJs against KTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJs2.3231.5083.7720.431
KTs0.4313.7721.5082.323

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

By flop texture, KJs' equity runs from 63.82% on monotone flops up to 81.82% on low rainbow flops (nine high or lower). KJs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

KJs against KTs by flop texture, in percent
FlopShare of flopsKJs winsTiesKTs winsKJs equity
Rainbow, ten or higher23.13866.6565.62427.72069.468
Rainbow, nine or lower7.77180.0763.48116.44381.816
Two-tone46.54367.2774.63028.09369.592
Monotone5.21560.6796.28533.03663.822
Paired17.33358.85417.93423.21267.821

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 KTs 61.79%. Against each other the change is +7.34 points for KJs and -31.70 for KTs.

KJs and KTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJs, all flops69.90562.567+7.3381.11728
KJs, rainbow, ten or higher69.46862.567+6.9011.11030
KJs, rainbow, nine or lower81.81662.567+19.2491.30765
KJs, two-tone69.59262.567+7.0251.11228
KJs, monotone63.82262.567+1.2551.02006
KJs, paired67.82162.567+5.2541.08397
KTs, all flops30.09561.789-31.6940.48706
KTs, rainbow, ten or higher30.53261.789-31.2570.49413
KTs, rainbow, nine or lower18.18461.789-43.6050.29429
KTs, two-tone30.40861.789-31.3810.49213
KTs, monotone36.17861.789-25.6110.58551
KTs, paired32.17961.789-29.6100.52079

Does a shared suit matter?

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

KJs against KTs by suit overlap, in percent
DealsSpecific dealsShare of dealsKJs winsTiesKTs winsKJs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0066.3247.16326.51369.905

How often this matchup comes up

You will meet this exact matchup 0.0015% of the time in a random heads-up deal: 24 of 1,624,350, counting either seat order.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, KJs' average share is $139.82 (a gain of $39.82) and KTs' is $60.18 (a loss of $39.82).

In 1,000 deals of exactly this matchup, expect about 663 won outright by KJs, about 265 won outright by KTs and about 72 split.

The same matchup from the other side

If you came looking for KTs against KJs, the numbers are the same with the hands swapped: 30.09% and 69.91%.

Try KsJs against KhTh 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

We counted every case. Each suit pattern of the 12 specific KJs against KTs deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

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