A8s vs QJs: preflop equity

Over all 1,712,304 boards that can follow this deal, A8s finishes with 56.19% of the pot and QJs with 43.81%.

A8s

56.19%

Wins 55.95%, ties 0.49%

QJs

43.81%

Wins 43.56%, ties 0.49%

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

A8s against QJs: the numbers

Exact preflop results for A8s against QJs, in percent
HandWinsTiesLosesEquity
A8s55.9500.48643.56456.193
QJs43.5640.48655.95043.807

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

A8s is ahead, but QJs is far from dead: it takes 436 of every 1,000 deals outright. A split pot comes up on 0.49% of boards, so the wins and the equity differ by half of that.

Among the 169 starting hands, A8s is number 21 and QJs is number 28 by strength against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A8s15,329,000133,00011,935,000
QJs11,935,000133,00015,329,000

16 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.

A8s against QJs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A8s1.2831.7872.2950.780
QJs0.7802.2951.7871.283

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

Split by what the flop looks like, A8s peaks at 73.35% on low rainbow flops (nine high or lower) and bottoms out at 50.07% on rainbow flops topped by a ten or better. 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 QJs by flop texture, in percent
FlopShare of flopsA8s winsTiesQJs winsA8s equity
Rainbow, ten or higher23.86750.0110.11349.87650.067
Rainbow, nine or lower7.04272.9320.83026.23873.347
Two-tone46.72754.8500.24644.90454.973
Monotone5.27352.0793.40244.51953.780
Paired17.09161.4500.62037.93061.760

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

Compared with a random opponent, this matchup shifts A8s from 61.94% by -5.75 points and QJs from 60.26% by -16.45 points.

A8s and QJs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A8s, all flops56.19361.944-5.7510.90716
A8s, rainbow, ten or higher50.06761.944-11.8770.80826
A8s, rainbow, nine or lower73.34761.944+11.4031.18409
A8s, two-tone54.97361.944-6.9710.88746
A8s, monotone53.78061.944-8.1640.86820
A8s, paired61.76061.944-0.1840.99703
QJs, all flops43.80760.259-16.4520.72698
QJs, rainbow, ten or higher49.93360.259-10.3260.82864
QJs, rainbow, nine or lower26.65360.259-33.6060.44231
QJs, two-tone45.02760.259-15.2320.74722
QJs, monotone46.22060.259-14.0390.76702
QJs, paired38.24060.259-22.0190.63459

Does a shared suit matter?

Of the deals of this matchup, 4 share a suit (A8s at 58.01%) and 12 do not (55.59%). A8s does better with a shared suit, by 2.42 points.

A8s against QJs by suit overlap, in percent
DealsSpecific dealsShare of dealsA8s winsTiesQJs winsA8s equity
Share a suit425.0057.7280.56241.71058.009
No shared suit1275.0055.3580.46044.18255.588

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 16 are A8s in one seat and QJs in the other (0.0010%); with the seats swapped too, 32 (0.0020%).

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, A8s' average share is $112.38 (a gain of $12.38) and QJs' is $87.62 (a loss of $12.38).

Scaled to 1,000 deals, that is roughly 559 wins for A8s, 436 for QJs and 5 chopped pots.

The same matchup from the other side

QJs versus A8s is this same page seen from the other hand: 43.81% for QJs, 56.19% for A8s.

Try As8s against QhJh 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 16 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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