AQs vs QJo: preflop equity

Before any board card is dealt, AQs holds 74.00% equity against QJo, which leaves QJo with 26.00%.

AQs

74.00%

Wins 73.27%, ties 1.45%

QJo

26.00%

Wins 25.28%, ties 1.45%

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

AQs against QJo: the numbers

Exact preflop results for AQs against QJo, in percent
HandWinsTiesLosesEquity
AQs73.2741.44725.27973.998
QJo25.2791.44773.27426.002

The matchup pits a suited hand against an offsuit hand. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.

AQs is well ahead, and QJo needs a specific kind of board to catch up. The tie share is 1.45%: on those boards the pot is chopped and neither hand wins outright.

By strength against a random hand, AQs holds place 10 of 169 and QJo holds place 39.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AQs45,168,000892,00015,583,000
QJo15,583,000892,00045,168,000

36 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.

AQs against QJo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AQs2.8461.3653.9560.351
QJo0.3513.9561.3652.846

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

By flop texture, AQs' equity runs from 66.38% on monotone flops up to 85.00% on low rainbow flops (nine high or lower). AQs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

AQs against QJo by flop texture, in percent
FlopShare of flopsAQs winsTiesQJo winsAQs equity
Rainbow, ten or higher23.17768.9951.24529.76069.617
Rainbow, nine or lower7.77184.3471.31114.34285.002
Two-tone46.52773.1651.16625.66973.748
Monotone5.19264.9792.81132.21066.384
Paired17.33376.8122.12321.06577.873

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

Each hand has a baseline against a random hand: 66.21% for AQs, 58.14% for QJo. Here the change is +7.79 and -32.14 points.

AQs and QJo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AQs, all flops73.99866.209+7.7891.11764
AQs, rainbow, ten or higher69.61766.209+3.4081.05147
AQs, rainbow, nine or lower85.00266.209+18.7931.28384
AQs, two-tone73.74866.209+7.5391.11387
AQs, monotone66.38466.209+0.1751.00264
AQs, paired77.87366.209+11.6641.17617
QJo, all flops26.00258.135-32.1330.44727
QJo, rainbow, ten or higher30.38358.135-27.7520.52263
QJo, rainbow, nine or lower14.99858.135-43.1370.25799
QJo, two-tone26.25258.135-31.8830.45157
QJo, monotone33.61658.135-24.5190.57824
QJo, paired22.12758.135-36.0080.38061

Does a shared suit matter?

Does suit overlap move the numbers? AQs has 73.75% when the hands share a suit and 74.12% when they do not. AQs does better with no shared suit, by 0.37 points.

AQs against QJo by suit overlap, in percent
DealsSpecific dealsShare of dealsAQs winsTiesQJo winsAQs equity
Share a suit1233.3372.9861.52825.48673.750
No shared suit2466.6773.4181.40725.17574.122

How often this matchup comes up

This page stands for 36 specific-card matchups (0.0022% of 1,624,350 ordered deals), or 72 once you count the seats both ways (0.0044%).

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, AQs' average share is $148.00 (a gain of $48.00) and QJo's is $52.00 (a loss of $48.00).

Out of 1,000 deals you should see around 733 outright wins for AQs, 253 for QJo, and 14 split pots.

The same matchup from the other side

The reversed view, QJo against AQs, shows 26.00% for QJo and 74.00% for AQs. It is the same count, so it redirects here.

Try AsQs 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 36 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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