QJs vs KTo: preflop equity

Before any board card is dealt, KTo holds 56.18% equity against QJs, which leaves QJs with 43.82%.

QJs

43.82%

Wins 43.47%, ties 0.69%

KTo

56.18%

Wins 55.84%, ties 0.69%

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

QJs against KTo: the numbers

Exact preflop results for QJs against KTo, in percent
HandWinsTiesLosesEquity
QJs43.4730.68755.84043.816
KTo55.8400.68743.47356.184

Here a suited hand (QJs) meets an offsuit hand (KTo). With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are 0.69% of the outcomes here; each tied board gives both hands half the pot.

By strength against a random hand, QJs holds place 28 of 169 and KTo holds place 33.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
QJs35,731,000565,00045,895,000
KTo45,895,000565,00035,731,000

The board total is exact, 48 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

QJs against KTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
QJs0.7802.3001.7911.282
KTo1.2821.7912.3000.780

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

The flop changes the picture. KTo does best on low rainbow flops (nine high or lower), at 72.07%, and worst on rainbow flops topped by a ten or better, at 51.76%. KTo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

QJs against KTo by flop texture, in percent
FlopShare of flopsQJs winsTiesKTo winsQJs equity
Rainbow, ten or higher23.26048.1100.26251.62848.241
Rainbow, nine or lower7.77027.4660.93571.59927.934
Two-tone46.66745.5390.39654.06545.737
Monotone5.21244.6562.46452.88045.888
Paired17.09138.4401.40260.15839.141

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

Compared with a random opponent, this matchup shifts QJs from 60.26% by -16.44 points and KTo from 59.74% by -3.56 points.

QJs and KTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
QJs, all flops43.81660.259-16.4430.72713
QJs, rainbow, ten or higher48.24160.259-12.0180.80056
QJs, rainbow, nine or lower27.93460.259-32.3250.46357
QJs, two-tone45.73760.259-14.5220.75901
QJs, monotone45.88860.259-14.3710.76151
QJs, paired39.14160.259-21.1180.64955
KTo, all flops56.18459.739-3.5550.94049
KTo, rainbow, ten or higher51.75959.739-7.9800.86642
KTo, rainbow, nine or lower72.06659.739+12.3271.20635
KTo, two-tone54.26359.739-5.4760.90833
KTo, monotone54.11259.739-5.6270.90581
KTo, paired60.85959.739+1.1201.01875

Does a shared suit matter?

Split by suits, the deals give KTo 56.64% when the hands overlap in a suit and 55.73% when they do not. KTo does better with a shared suit, by 0.91 points.

QJs against KTo by suit overlap, in percent
DealsSpecific dealsShare of dealsQJs winsTiesKTo winsQJs equity
Share a suit2450.0042.9980.72656.27643.361
No shared suit2450.0043.9490.64755.40444.272

How often this matchup comes up

QJs against KTo is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average KTo takes back $112.36 of it, which is $12.36 more than it put in, and QJs takes back $87.64, $12.36 less than it put in.

Think in thousands: about 558 of 1,000 go to KTo, about 435 go to QJs, and about 7 are chopped.

The same matchup from the other side

The mirror image, KTo against QJs, is 56.18% to 43.82%, and its address redirects to this page.

Try QsJs against KhTd 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of QJs against KTo, 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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