A8s vs QTs: preflop equity

Before any board card is dealt, A8s holds 56.16% equity against QTs, which leaves QTs with 43.84%.

A8s

56.16%

Wins 55.92%, ties 0.48%

QTs

43.84%

Wins 43.60%, ties 0.48%

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

A8s against QTs: the numbers

Exact preflop results for A8s against QTs, in percent
HandWinsTiesLosesEquity
A8s55.9180.47843.60456.157
QTs43.6040.47855.91843.843

A8s and QTs are both suited hands. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

A 12.32 point lead is real, and QTs still takes about 436 of every 1,000 deals outright. About 0.48% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

Ranked by equity against a random hand, A8s is number 21 of the 169 starting hands and QTs is number 34.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A8s15,320,000131,00011,946,000
QTs11,946,000131,00015,320,000

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.

A8s against QTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A8s1.2811.7882.2930.781
QTs0.7812.2931.7881.281

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

A8s prefers low rainbow flops (nine high or lower), where it holds 72.57%, and likes rainbow flops topped by a ten or better least, where it holds 50.23%. A8s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

A8s against QTs by flop texture, in percent
FlopShare of flopsA8s winsTiesQTs winsA8s equity
Rainbow, ten or higher23.86750.1550.14349.70250.226
Rainbow, nine or lower7.04272.2330.67627.09172.571
Two-tone46.72754.8080.23744.95554.926
Monotone5.27352.0483.39844.55453.747
Paired17.09161.4710.62437.90561.783

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

Against one random hand instead, A8s holds 61.94% and QTs holds 59.47%. Facing each other changes that by -5.78 points for A8s and -15.63 points for QTs.

A8s and QTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A8s, all flops56.15761.944-5.7870.90658
A8s, rainbow, ten or higher50.22661.944-11.7180.81083
A8s, rainbow, nine or lower72.57161.944+10.6271.17156
A8s, two-tone54.92661.944-7.0180.88670
A8s, monotone53.74761.944-8.1970.86767
A8s, paired61.78361.944-0.1610.99740
QTs, all flops43.84359.468-15.6250.73725
QTs, rainbow, ten or higher49.77459.468-9.6940.83699
QTs, rainbow, nine or lower27.42959.468-32.0390.46124
QTs, two-tone45.07459.468-14.3940.75795
QTs, monotone46.25359.468-13.2150.77778
QTs, paired38.21759.468-21.2510.64265

Does a shared suit matter?

Of the deals of this matchup, 4 share a suit (A8s at 57.97%) and 12 do not (55.55%). A8s does better with a shared suit, by 2.42 points.

A8s against QTs by suit overlap, in percent
DealsSpecific dealsShare of dealsA8s winsTiesQTs winsA8s equity
Share a suit425.0057.6920.55441.75457.969
No shared suit1275.0055.3260.45344.22155.553

How often this matchup comes up

The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. A8s averages $112.32 from the $200, up $12.32; QTs averages $87.68, down $12.32.

Over a long run, 1,000 deals split into about 559 for A8s, 436 for QTs and 5 tied.

The same matchup from the other side

If you came looking for QTs against A8s, the numbers are the same with the hands swapped: 43.84% and 56.16%.

Open the calculator with As8s against QhTh 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

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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