KQs vs JTo: preflop equity

The exact count puts KQs at 66.20% and JTo at 33.80% when the two hands see all five board cards.

KQs

66.20%

Wins 65.85%, ties 0.69%

JTo

33.80%

Wins 33.46%, ties 0.69%

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

KQs against JTo: the numbers

Exact preflop results for KQs against JTo, in percent
HandWinsTiesLosesEquity
KQs65.8520.68633.46266.195
JTo33.4620.68665.85233.805

The first hand is a suited hand; the second is an offsuit hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

A lead of 32.40 points is large but not decisive: JTo still takes about 335 of every 1,000 deals. Ties are part of the picture: 0.69% of boards end in a split pot, and each side counts that as half a win.

The hand ranking puts KQs at 16 and JTo at 57 out of 169 starting hands.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KQs54,124,000564,00027,503,000
JTo27,503,000564,00054,124,000

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.

KQs against JTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KQs1.9581.5192.9880.511
JTo0.5112.9881.5191.958

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

Break the boards down by their first three cards and KQs is strongest on low rainbow flops (nine high or lower) (71.56%) and weakest on monotone flops (61.78%). KQs stays ahead on all five textures.

KQs against JTo by flop texture, in percent
FlopShare of flopsKQs winsTiesJTo winsKQs equity
Rainbow, ten or higher23.26063.3170.26236.42163.448
Rainbow, nine or lower7.77071.0950.93527.97071.562
Two-tone46.66766.2230.39633.38166.421
Monotone5.21260.5492.46336.98861.780
Paired17.09167.5231.40231.07568.224

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

The table below sets each hand against its own random-hand baseline: a change of +2.80 points for KQs, from 63.40%, and -21.45 for JTo, from 55.25%.

KQs and JTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KQs, all flops66.19563.400+2.7951.04409
KQs, rainbow, ten or higher63.44863.400+0.0481.00076
KQs, rainbow, nine or lower71.56263.400+8.1621.12874
KQs, two-tone66.42163.400+3.0211.04765
KQs, monotone61.78063.400-1.6200.97445
KQs, paired68.22463.400+4.8241.07609
JTo, all flops33.80555.248-21.4430.61188
JTo, rainbow, ten or higher36.55255.248-18.6960.66160
JTo, rainbow, nine or lower28.43855.248-26.8100.51473
JTo, two-tone33.57955.248-21.6690.60779
JTo, monotone38.22055.248-17.0280.69179
JTo, paired31.77655.248-23.4720.57515

Does a shared suit matter?

The suit split reads 66.03% for KQs with a shared suit and 66.37% without one. KQs does better with no shared suit, by 0.34 points.

KQs against JTo by suit overlap, in percent
DealsSpecific dealsShare of dealsKQs winsTiesJTo winsKQs equity
Share a suit2450.0065.6620.72633.61266.025
No shared suit2450.0066.0420.64733.31166.365

How often this matchup comes up

How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are KQs against JTo, and 96 (0.0059%) if either hand may sit in either seat.

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. KQs averages $132.40 from the $200, up $32.40; JTo averages $67.60, down $32.40.

Run 1,000 deals and the tally comes out near 658 for KQs, 335 for JTo and 7 ties.

The same matchup from the other side

JTo versus KQs is this same page seen from the other hand: 33.80% for JTo, 66.20% for KQs.

Open the calculator with KsQs against JhTd 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

Nothing here is simulated. The 48 deals of KQs against JTo fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

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

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