AKs vs QTs: preflop equity

In equity, AKs against QTs stands at 63.22% to 36.78%, a gap of 26.44 points.

AKs

63.22%

Wins 62.97%, ties 0.51%

QTs

36.78%

Wins 36.52%, ties 0.51%

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

AKs against QTs: the numbers

Exact preflop results for AKs against QTs, in percent
HandWinsTiesLosesEquity
AKs62.9660.51436.52063.223
QTs36.5200.51462.96636.777

Both hands are suited hands: AKs and QTs. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are part of the picture: 0.51% of boards end in a split pot, and each side counts that as half a win.

In the ranking of all 169 starting hands, AKs is number 8 and QTs is number 34.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AKs17,251,000141,00010,005,000
QTs10,005,000141,00017,251,000

Exact total: 16 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.

AKs against QTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AKs1.7191.5882.7380.582
QTs0.5822.7381.5881.719

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

By flop texture, AKs' equity runs from 60.21% on monotone flops up to 72.58% on low rainbow flops (nine high or lower). AKs stays ahead on all five textures.

AKs against QTs by flop texture, in percent
FlopShare of flopsAKs winsTiesQTs winsAKs equity
Rainbow, ten or higher23.13860.4140.10839.47860.468
Rainbow, nine or lower7.77172.0950.96026.94572.575
Two-tone46.72762.3710.28037.34962.511
Monotone5.27358.5033.41838.07960.212
Paired17.09165.2740.60434.12265.576

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

Start from the random-hand figures, 67.05% for AKs and 59.47% for QTs. This opponent changes them by -3.83 and -22.69 points.

AKs and QTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AKs, all flops63.22367.045-3.8220.94299
AKs, rainbow, ten or higher60.46867.045-6.5770.90190
AKs, rainbow, nine or lower72.57567.045+5.5301.08248
AKs, two-tone62.51167.045-4.5340.93237
AKs, monotone60.21267.045-6.8330.89808
AKs, paired65.57667.045-1.4690.97809
QTs, all flops36.77759.468-22.6910.61843
QTs, rainbow, ten or higher39.53259.468-19.9360.66476
QTs, rainbow, nine or lower27.42559.468-32.0430.46117
QTs, two-tone37.48959.468-21.9790.63041
QTs, monotone39.78859.468-19.6800.66907
QTs, paired34.42459.468-25.0440.57887

Does a shared suit matter?

The suit split reads 65.62% for AKs with a shared suit and 62.42% without one. AKs does better with a shared suit, by 3.20 points.

AKs against QTs by suit overlap, in percent
DealsSpecific dealsShare of dealsAKs winsTiesQTs winsAKs equity
Share a suit425.0065.3230.59334.08465.620
No shared suit1275.0062.1800.48837.33262.424

How often this matchup comes up

Counting specific cards, AKs against QTs appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average AKs takes back $126.44 of it, which is $26.44 more than it put in, and QTs takes back $73.56, $26.44 less than it put in.

Over a long run, 1,000 deals split into about 630 for AKs, 365 for QTs and 5 tied.

The same matchup from the other side

Read it from the other side: QTs against AKs is the same matchup with the numbers swapped, so QTs holds 36.78% and AKs holds 63.22%. That address sends you back to this page.

Try AsKs against QhTh 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

Each figure is a complete count over boards. Take the 16 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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