QQ vs KTs: preflop equity

The exact count puts QQ at 67.55% and KTs at 32.45% when the two hands see all five board cards.

QQ

67.55%

Wins 67.35%, ties 0.41%

KTs

32.45%

Wins 32.24%, ties 0.41%

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

QQ against KTs: the numbers

Exact preflop results for QQ against KTs, in percent
HandWinsTiesLosesEquity
QQ67.3470.41332.24067.554
KTs32.2400.41367.34732.446

QQ, a pocket pair, plays KTs, a suited hand. The pair sits between the other hand's two cards: one is higher and one is lower, so the pair is exposed to the higher card.

QQ is the clear favorite, though KTs gets there on roughly one board in 3. Ties are 0.41% of the outcomes here; each tied board gives both hands half the pot.

By strength against a random hand, QQ holds place 3 of 169 and KTs holds place 22.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
QQ27,676,000170,00013,249,000
KTs13,249,000170,00027,676,000

24 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.

QQ against KTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
QQ2.0821.4853.1020.480
KTs0.4803.1021.4852.082

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

Split by what the flop looks like, QQ peaks at 81.27% on low rainbow flops (nine high or lower) and bottoms out at 62.82% on monotone flops. QQ stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

QQ against KTs by flop texture, in percent
FlopShare of flopsQQ winsTiesKTs winsQQ equity
Rainbow, ten or higher23.13864.5600.14935.29164.634
Rainbow, nine or lower7.77180.7611.02218.21781.272
Two-tone46.54565.4230.33534.24265.591
Monotone5.21261.6182.41235.97062.824
Paired17.33471.9440.09927.95771.994

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 QQ from 79.93% by -12.38 points and KTs from 61.79% by -29.34 points.

QQ and KTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
QQ, all flops67.55479.925-12.3710.84522
QQ, rainbow, ten or higher64.63479.925-15.2910.80868
QQ, rainbow, nine or lower81.27279.925+1.3471.01685
QQ, two-tone65.59179.925-14.3340.82066
QQ, monotone62.82479.925-17.1010.78604
QQ, paired71.99479.925-7.9310.90077
KTs, all flops32.44661.789-29.3430.52511
KTs, rainbow, ten or higher35.36661.789-26.4230.57237
KTs, rainbow, nine or lower18.72861.789-43.0610.30310
KTs, two-tone34.40961.789-27.3800.55688
KTs, monotone37.17661.789-24.6130.60166
KTs, paired28.00661.789-33.7830.45325

Does a shared suit matter?

When the hands share a suit, QQ holds 67.80%; when they do not, it holds 67.31%. QQ does better with a shared suit, by 0.49 points.

QQ against KTs by suit overlap, in percent
DealsSpecific dealsShare of dealsQQ winsTiesKTs winsQQ equity
Share a suit1250.0067.5700.45331.97767.796
No shared suit1250.0067.1250.37332.50267.311

How often this matchup comes up

How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are QQ against KTs, and 48 (0.0030%) if either hand may sit in either seat.

A worked example

Take a $200 pot built from $100 each. QQ's equity of 67.55% is worth $135.10, a $35.10 edge, and KTs' 32.45% is worth $64.90, which is $35.10 under its stake.

In 1,000 deals of exactly this matchup, expect about 674 won outright by QQ, about 322 won outright by KTs and about 4 split.

The same matchup from the other side

KTs versus QQ is this same page seen from the other hand: 32.45% for KTs, 67.55% for QQ.

The calculator link fills in QsQh against KdTd, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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