KJo vs QTs: preflop equity

Over all 1,712,304 boards that can follow this deal, KJo finishes with 59.04% of the pot and QTs with 40.96%.

KJo

59.04%

Wins 58.70%, ties 0.69%

QTs

40.96%

Wins 40.61%, ties 0.69%

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

KJo against QTs: the numbers

Exact preflop results for KJo against QTs, in percent
HandWinsTiesLosesEquity
KJo58.6990.68640.61559.042
QTs40.6150.68658.69940.958

Here an offsuit hand (KJo) meets a suited hand (QTs). The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are 0.69% of the outcomes here; each tied board gives both hands half the pot.

Ranked by equity against a random hand, KJo is number 26 of the 169 starting hands and QTs is number 34.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJo48,245,000564,00033,382,000
QTs33,382,000564,00048,245,000

Exact total: 48 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

KJo against QTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJo1.4421.7042.4620.694
QTs0.6942.4621.7041.442

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at 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 71.21%, and worst on rainbow flops topped by a ten or better, at 56.43%. KJo stays ahead on all five textures.

KJo against QTs by flop texture, in percent
FlopShare of flopsKJo winsTiesQTs winsKJo equity
Rainbow, ten or higher23.26056.2940.26243.44456.425
Rainbow, nine or lower7.77070.7390.93528.32671.206
Two-tone46.66757.1810.39642.42357.379
Monotone5.21255.3722.46442.16456.604
Paired17.09161.6561.40236.94262.357

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

Each hand has a baseline against a random hand: 60.57% for KJo, 59.47% for QTs. Here the change is -1.53 and -18.51 points.

KJo and QTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJo, all flops59.04260.569-1.5270.97479
KJo, rainbow, ten or higher56.42560.569-4.1440.93158
KJo, rainbow, nine or lower71.20660.569+10.6371.17562
KJo, two-tone57.37960.569-3.1900.94733
KJo, monotone56.60460.569-3.9650.93454
KJo, paired62.35760.569+1.7881.02952
QTs, all flops40.95859.468-18.5100.68874
QTs, rainbow, ten or higher43.57559.468-15.8930.73275
QTs, rainbow, nine or lower28.79459.468-30.6740.48419
QTs, two-tone42.62159.468-16.8470.71670
QTs, monotone43.39659.468-16.0720.72974
QTs, paired37.64359.468-21.8250.63300

Does a shared suit matter?

When the hands share a suit, KJo holds 59.55%; when they do not, it holds 58.53%. KJo does better with a shared suit, by 1.02 points.

KJo against QTs by suit overlap, in percent
DealsSpecific dealsShare of dealsKJo winsTiesQTs winsKJo equity
Share a suit2450.0059.1890.72640.08559.552
No shared suit2450.0058.2080.64741.14558.532

How often this matchup comes up

Counting specific cards, KJo against QTs appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).

A worked example

Put $100 each into a $200 pot and deal every board once: KJo averages $118.08 back, ahead of its $100 by $18.08, while QTs averages $81.92, short of its $100 by $18.08.

Scaled to 1,000 deals, that is roughly 587 wins for KJo, 406 for QTs and 7 chopped pots.

The same matchup from the other side

Swap the hands and you get QTs with 40.96% against KJo with 59.04%. We keep one page per matchup, with the better-ranked hand first.

KsJh against QdTd is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

How this was computed

Each figure is a complete count over boards. Take the 48 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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