KTs vs QJo: preflop equity

Dealt all in against each other, KTs takes 61.57% of the pot on average and QJo takes the other 38.43%.

KTs

61.57%

Wins 61.23%, ties 0.69%

QJo

38.43%

Wins 38.08%, ties 0.69%

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

KTs against QJo: the numbers

Exact preflop results for KTs against QJo, in percent
HandWinsTiesLosesEquity
KTs61.2270.68738.08661.570
QJo38.0860.68761.22738.430

The matchup pits a suited hand against an offsuit hand. 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 part of the picture: 0.69% of boards end in a split pot, and each side counts that as half a win.

By strength against a random hand, KTs holds place 22 of 169 and QJo holds place 39.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KTs50,323,000565,00031,303,000
QJo31,303,000565,00050,323,000

The total is exact: 48 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

KTs against QJo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KTs1.6021.6332.6260.624
QJo0.6242.6261.6331.602

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. KTs does best on low rainbow flops (nine high or lower), at 75.95%, and worst on rainbow flops topped by a ten or better, at 54.89%. KTs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

KTs against QJo by flop texture, in percent
FlopShare of flopsKTs winsTiesQJo winsKTs equity
Rainbow, ten or higher23.26054.7590.26244.97954.890
Rainbow, nine or lower7.77075.4790.93523.58675.946
Two-tone46.66761.1270.39638.47761.325
Monotone5.21256.3532.46341.18457.584
Paired17.09165.3101.40233.28866.011

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

A random hand would give KTs 61.79% and QJo 58.14%. Against each other the change is -0.22 points for KTs and -19.71 for QJo.

KTs and QJo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KTs, all flops61.57061.789-0.2190.99646
KTs, rainbow, ten or higher54.89061.789-6.8990.88835
KTs, rainbow, nine or lower75.94661.789+14.1571.22912
KTs, two-tone61.32561.789-0.4640.99249
KTs, monotone57.58461.789-4.2050.93195
KTs, paired66.01161.789+4.2221.06833
QJo, all flops38.43058.135-19.7050.66105
QJo, rainbow, ten or higher45.11058.135-13.0250.77595
QJo, rainbow, nine or lower24.05458.135-34.0810.41376
QJo, two-tone38.67558.135-19.4600.66526
QJo, monotone42.41658.135-15.7190.72961
QJo, paired33.98958.135-24.1460.58466

Does a shared suit matter?

When the hands share a suit, KTs holds 61.30%; when they do not, it holds 61.84%. KTs does better with no shared suit, by 0.54 points.

KTs against QJo by suit overlap, in percent
DealsSpecific dealsShare of dealsKTs winsTiesQJo winsKTs equity
Share a suit2450.0060.9400.72638.33461.303
No shared suit2450.0061.5150.64737.83861.838

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 48 are KTs in one seat and QJo in the other (0.0030%); with the seats swapped too, 96 (0.0059%).

A worked example

Put $100 each into a $200 pot and deal every board once: KTs averages $123.14 back, ahead of its $100 by $23.14, while QJo averages $76.86, short of its $100 by $23.14.

Out of 1,000 deals you should see around 612 outright wins for KTs, 381 for QJo, and 7 split pots.

The same matchup from the other side

The reversed view, QJo against KTs, shows 38.43% for QJo and 61.57% for KTs. It is the same count, so it redirects here.

Try KsTs against QhJd 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 48 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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