KQs vs JTs: preflop equity

Counting every board, the equity split is 63.34% for KQs and 36.66% for JTs, so KQs leads by 26.68 points.

KQs

63.34%

Wins 62.98%, ties 0.72%

JTs

36.66%

Wins 36.30%, ties 0.72%

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

KQs against JTs: the numbers

Exact preflop results for KQs against JTs, in percent
HandWinsTiesLosesEquity
KQs62.9790.71836.30363.338
JTs36.3030.71862.97936.662

Each side holds one of the suited hands: KQs and JTs. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. A split pot comes up on 0.72% of boards, so the wins and the equity differ by half of that.

KQs ranks number 16 of 169 starting hands, and JTs ranks number 45, by equity against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KQs17,254,000197,0009,946,000
JTs9,946,000197,00017,254,000

The board total is exact, 16 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

KQs against JTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KQs1.7281.5882.7550.579
JTs0.5792.7551.5881.728

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

Break the boards down by their first three cards and KQs is strongest on low rainbow flops (nine high or lower) (69.32%) and weakest on monotone flops (60.33%). KQs stays ahead on all five textures.

KQs against JTs by flop texture, in percent
FlopShare of flopsKQs winsTiesJTs winsKQs equity
Rainbow, ten or higher23.13861.7360.25438.01061.863
Rainbow, nine or lower7.77168.8660.90130.23369.317
Two-tone46.72762.5090.37037.12162.694
Monotone5.27358.5933.47537.93260.331
Paired17.09164.6211.36334.01665.303

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

How much does the opponent matter? Compared with its random-hand 63.40%, KQs changes by -0.06 points, and JTs, from 57.53%, by -20.87.

KQs and JTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KQs, all flops63.33863.400-0.0620.99902
KQs, rainbow, ten or higher61.86363.400-1.5370.97576
KQs, rainbow, nine or lower69.31763.400+5.9171.09333
KQs, two-tone62.69463.400-0.7060.98886
KQs, monotone60.33163.400-3.0690.95159
KQs, paired65.30363.400+1.9031.03002
JTs, all flops36.66257.528-20.8660.63729
JTs, rainbow, ten or higher38.13757.528-19.3910.66293
JTs, rainbow, nine or lower30.68357.528-26.8450.53336
JTs, two-tone37.30657.528-20.2220.64848
JTs, monotone39.66957.528-17.8590.68956
JTs, paired34.69757.528-22.8310.60313

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common KQs has 65.75% equity, and with none in common it has 62.53%. KQs does better with a shared suit, by 3.22 points.

KQs against JTs by suit overlap, in percent
DealsSpecific dealsShare of dealsKQs winsTiesJTs winsKQs equity
Share a suit425.0065.3490.80533.84665.751
No shared suit1275.0062.1880.68937.12362.533

How often this matchup comes up

Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average KQs takes back $126.68 of it, which is $26.68 more than it put in, and JTs takes back $73.32, $26.68 less than it put in.

In 1,000 deals of exactly this matchup, expect about 630 won outright by KQs, about 363 won outright by JTs and about 7 split.

The same matchup from the other side

The reversed view, JTs against KQs, shows 36.66% for JTs and 63.34% for KQs. It is the same count, so it redirects here.

Open the calculator with KsQs against JhTh already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

All 1,712,304 five-card boards are dealt for every suit pattern among the 16 specific deals of KQs against JTs, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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