AQo vs AJo: preflop equity

Averaged over every possible board, AQo is ahead of AJo by 47.82 points of equity, 73.91% to 26.09%.

AQo

73.91%

Wins 71.01%, ties 5.79%

AJo

26.09%

Wins 23.20%, ties 5.79%

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

AQo against AJo: the numbers

Exact preflop results for AQo against AJo, in percent
HandWinsTiesLosesEquity
AQo71.0125.78623.20273.905
AJo23.2025.78671.01226.095

Two offsuit hands meet here: AQo against AJo. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

That is a clear edge, 73.91% to 26.09%, but AJo still wins often enough that one hand proves nothing. About 5.79% 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, AQo is number 14 of the 169 starting hands and AJo is number 15.

Boards behind the percentages: 184,928,832 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AQo131,322,00010,700,00042,907,000
AJo42,907,00010,700,000131,322,000

The board total is exact, 108 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

AQo against AJo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AQo2.8321.4084.3100.353
AJo0.3534.3101.4082.832

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

AQo prefers low rainbow flops (nine high or lower), where it holds 84.51%, and likes monotone flops least, where it holds 68.80%. AQo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

AQo against AJo by flop texture, in percent
FlopShare of flopsAQo winsTiesAJo winsAQo equity
Rainbow, ten or higher23.27570.2313.14826.62171.805
Rainbow, nine or lower7.77181.7575.51212.73184.513
Two-tone46.47772.4343.67923.88774.274
Monotone5.14466.5294.53928.93268.799
Paired17.33364.76115.47319.76672.497

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

Start from the random-hand figures, 64.43% for AQo and 63.56% for AJo. This opponent changes them by +9.48 and -37.47 points.

AQo and AJo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AQo, all flops73.90564.432+9.4731.14702
AQo, rainbow, ten or higher71.80564.432+7.3731.11443
AQo, rainbow, nine or lower84.51364.432+20.0811.31166
AQo, two-tone74.27464.432+9.8421.15275
AQo, monotone68.79964.432+4.3671.06778
AQo, paired72.49764.432+8.0651.12517
AJo, all flops26.09563.563-37.4680.41054
AJo, rainbow, ten or higher28.19563.563-35.3680.44358
AJo, rainbow, nine or lower15.48763.563-48.0760.24365
AJo, two-tone25.72663.563-37.8370.40473
AJo, monotone31.20163.563-32.3620.49087
AJo, paired27.50363.563-36.0600.43269

Does a shared suit matter?

Two kinds of deal exist here. In 84 of them the hands share a suit and AQo holds 74.01%. In 24 they do not, and it holds 73.53%. AQo does better with a shared suit, by 0.48 points.

AQo against AJo by suit overlap, in percent
DealsSpecific dealsShare of dealsAQo winsTiesAJo winsAQo equity
Share a suit8477.7871.1055.81323.08274.012
No shared suit2422.2270.6865.69323.62173.533

How often this matchup comes up

You will meet this exact matchup 0.0133% of the time in a random heads-up deal: 216 of 1,624,350, counting either seat order.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, AQo's average share is $147.82 (a gain of $47.82) and AJo's is $52.18 (a loss of $47.82).

Run 1,000 deals and the tally comes out near 710 for AQo, 232 for AJo and 58 ties.

The same matchup from the other side

The reversed view, AJo against AQo, shows 26.09% for AJo and 73.91% for AQo. It is the same count, so it redirects here.

Try AsQh against AdJc 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

Nothing here is simulated. The 108 deals of AQo against AJo fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.

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