KJo vs JTs: preflop equity

If KJo and JTs get all the chips in before the flop, KJo owns 68.28% of the pot in the long run and JTs owns 31.72%.

KJo

68.28%

Wins 66.90%, ties 2.76%

JTs

31.72%

Wins 30.34%, ties 2.76%

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

KJo against JTs: the numbers

Exact preflop results for KJo against JTs, in percent
HandWinsTiesLosesEquity
KJo66.9012.75630.34368.279
JTs30.3432.75666.90131.721

The first hand is an offsuit hand; the second is a suited hand. 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.

A lead of 36.56 points is large but not decisive: JTs still takes about 303 of every 1,000 deals. Ties are part of the picture: 2.76% of boards end in a split pot, and each side counts that as half a win.

By strength against a random hand, KJo holds place 26 of 169 and JTs holds place 45.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJo41,240,0001,699,00018,704,000
JTs18,704,0001,699,00041,240,000

The total is exact: 36 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.

KJo against JTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJo2.1521.4953.2960.465
JTs0.4653.2961.4952.152

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

The flop changes the picture. KJo does best on low rainbow flops (nine high or lower), at 76.43%, and worst on monotone flops, at 64.08%. KJo stays ahead on all five textures.

KJo against JTs by flop texture, in percent
FlopShare of flopsKJo winsTiesJTs winsKJo equity
Rainbow, ten or higher23.17766.2192.66331.11867.551
Rainbow, nine or lower7.77175.6891.47122.84076.425
Two-tone46.52765.3322.24232.42666.453
Monotone5.19262.2133.72634.06164.076
Paired17.33369.4864.54725.96771.759

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

The table below sets each hand against its own random-hand baseline: a change of +7.71 points for KJo, from 60.57%, and -25.81 for JTs, from 57.53%.

KJo and JTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJo, all flops68.27960.569+7.7101.12729
KJo, rainbow, ten or higher67.55160.569+6.9821.11527
KJo, rainbow, nine or lower76.42560.569+15.8561.26178
KJo, two-tone66.45360.569+5.8841.09715
KJo, monotone64.07660.569+3.5071.05790
KJo, paired71.75960.569+11.1901.18475
JTs, all flops31.72157.528-25.8070.55140
JTs, rainbow, ten or higher32.44957.528-25.0790.56406
JTs, rainbow, nine or lower23.57557.528-33.9530.40980
JTs, two-tone33.54757.528-23.9810.58314
JTs, monotone35.92457.528-21.6040.62446
JTs, paired28.24157.528-29.2870.49091

Does a shared suit matter?

The suit split reads 69.25% for KJo with a shared suit and 67.79% without one. KJo does better with a shared suit, by 1.46 points.

KJo against JTs by suit overlap, in percent
DealsSpecific dealsShare of dealsKJo winsTiesJTs winsKJo equity
Share a suit1233.3367.8312.84229.32769.252
No shared suit2466.6766.4362.71330.85167.792

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 36 are KJo in one seat and JTs in the other (0.0022%); with the seats swapped too, 72 (0.0044%).

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average KJo takes back $136.56 of it, which is $36.56 more than it put in, and JTs takes back $63.44, $36.56 less than it put in.

Over a long run, 1,000 deals split into about 669 for KJo, 303 for JTs and 28 tied.

The same matchup from the other side

Swap the hands and you get JTs with 31.72% against KJo with 68.28%. We keep one page per matchup, with the better-ranked hand first.

Try KsJh against JdTd 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

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 36 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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