AQs vs AJo: preflop equity

In equity, AQs against AJo stands at 74.96% to 25.04%, a gap of 49.92 points.

AQs

74.96%

Wins 72.19%, ties 5.53%

AJo

25.04%

Wins 22.28%, ties 5.53%

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

AQs against AJo: the numbers

Exact preflop results for AQs against AJo, in percent
HandWinsTiesLosesEquity
AQs72.1935.53022.27774.958
AJo22.2775.53072.19325.042

The first hand is a suited hand; the second is 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.

A lead of 49.92 points is large but not decisive: AJo still takes about 223 of every 1,000 deals. A split pot comes up on 5.53% of boards, so the wins and the equity differ by half of that.

In the ranking of all 169 starting hands, AQs is number 10 and AJo is number 15.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AQs44,502,0003,409,00013,732,000
AJo13,732,0003,409,00044,502,000

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 AJo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AQs2.9931.3854.4890.334
AJo0.3344.4891.3852.993

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

Across the five flop textures AQs' equity moves by 17.50 points, from 67.59% on monotone flops to 85.09% 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 AJo by flop texture, in percent
FlopShare of flopsAQs winsTiesAJo winsAQs equity
Rainbow, ten or higher23.17771.0903.08425.82672.632
Rainbow, nine or lower7.77182.4295.31712.25485.087
Two-tone46.52774.0153.45522.53075.743
Monotone5.19265.2484.67730.07567.587
Paired17.33366.26814.72019.01273.628

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

Each hand has a baseline against a random hand: 66.21% for AQs, 63.56% for AJo. Here the change is +8.75 and -38.52 points.

AQs and AJo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AQs, all flops74.95866.209+8.7491.13214
AQs, rainbow, ten or higher72.63266.209+6.4231.09701
AQs, rainbow, nine or lower85.08766.209+18.8781.28513
AQs, two-tone75.74366.209+9.5341.14400
AQs, monotone67.58766.209+1.3781.02081
AQs, paired73.62866.209+7.4191.11205
AJo, all flops25.04263.563-38.5210.39397
AJo, rainbow, ten or higher27.36863.563-36.1950.43056
AJo, rainbow, nine or lower14.91363.563-48.6500.23462
AJo, two-tone24.25763.563-39.3060.38162
AJo, monotone32.41363.563-31.1500.50994
AJo, paired26.37263.563-37.1910.41490

Does a shared suit matter?

Looking only at deals where the hands share a suit, AQs has 74.74%; looking only at deals where they do not, 75.07%. AQs does better with no shared suit, by 0.33 points.

AQs against AJo by suit overlap, in percent
DealsSpecific dealsShare of dealsAQs winsTiesAJo winsAQs equity
Share a suit1233.3371.9365.60922.45574.741
No shared suit2466.6772.3215.49022.18975.066

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

Put $100 each into a $200 pot and deal every board once: AQs averages $149.92 back, ahead of its $100 by $49.92, while AJo averages $50.08, short of its $100 by $49.92.

Out of 1,000 deals you should see around 722 outright wins for AQs, 223 for AJo, and 55 split pots.

The same matchup from the other side

Swap the hands and you get AJo with 25.04% against AQs with 74.96%. We keep one page per matchup, with the better-ranked hand first.

Try AsQs against AhJd 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 36 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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