JJ vs KTs: preflop equity

Before any board card is dealt, JJ holds 67.72% equity against KTs, which leaves KTs with 32.28%.

JJ

67.72%

Wins 67.51%, ties 0.41%

KTs

32.28%

Wins 32.08%, ties 0.41%

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

JJ against KTs: the numbers

Exact preflop results for JJ against KTs, in percent
HandWinsTiesLosesEquity
JJ67.5140.40532.08167.717
KTs32.0810.40567.51432.283

The first hand is a pocket pair; the second is a suited hand. The pair is ahead of one card and behind the other, so the board decides how that plays out.

JJ is well ahead, and KTs needs a specific kind of board to catch up. A split pot comes up on 0.41% of boards, so the wins and the equity differ by half of that.

Among the 169 starting hands, JJ is number 4 and KTs is number 22 by strength against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JJ27,745,000166,00013,184,000
KTs13,184,000166,00027,745,000

24 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.

JJ against KTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JJ2.0981.4813.1170.477
KTs0.4773.1171.4812.098

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

JJ prefers low rainbow flops (nine high or lower), where it holds 81.63%, and likes monotone flops least, where it holds 62.95%. JJ stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

JJ against KTs by flop texture, in percent
FlopShare of flopsJJ winsTiesKTs winsJJ equity
Rainbow, ten or higher23.13864.7740.14035.08664.844
Rainbow, nine or lower7.77181.1550.94617.89981.628
Two-tone46.54565.6540.31134.03565.810
Monotone5.21261.7522.39635.85262.950
Paired17.33471.7840.17228.04471.870

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

Each hand has a baseline against a random hand: 77.47% for JJ, 61.79% for KTs. Here the change is -9.75 and -29.51 points.

JJ and KTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JJ, all flops67.71777.469-9.7520.87412
JJ, rainbow, ten or higher64.84477.469-12.6250.83703
JJ, rainbow, nine or lower81.62877.469+4.1591.05369
JJ, two-tone65.81077.469-11.6590.84950
JJ, monotone62.95077.469-14.5190.81258
JJ, paired71.87077.469-5.5990.92773
KTs, all flops32.28361.789-29.5060.52247
KTs, rainbow, ten or higher35.15661.789-26.6330.56897
KTs, rainbow, nine or lower18.37261.789-43.4170.29733
KTs, two-tone34.19061.789-27.5990.55333
KTs, monotone37.05061.789-24.7390.59962
KTs, paired28.13061.789-33.6590.45526

Does a shared suit matter?

Of the deals of this matchup, 12 share a suit (JJ at 67.95%) and 12 do not (67.48%). JJ does better with a shared suit, by 0.47 points.

JJ against KTs by suit overlap, in percent
DealsSpecific dealsShare of dealsJJ winsTiesKTs winsJJ equity
Share a suit1250.0067.7310.44631.82367.954
No shared suit1250.0067.2980.36532.33767.480

How often this matchup comes up

You will meet this exact matchup 0.0030% of the time in a random heads-up deal: 48 of 1,624,350, counting either seat order.

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. JJ is worth $135.44 on average (+$35.44); KTs is worth $64.56 (-$35.44).

In 1,000 deals of exactly this matchup, expect about 675 won outright by JJ, about 321 won outright by KTs and about 4 split.

The same matchup from the other side

KTs against JJ adds nothing new: it is 32.28% for KTs and 67.72% for JJ, the same figures reversed.

Try JsJh against KdTd 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

This is an exact count with no sampling. For the 24 ways to deal one JJ and one KTs without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

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