AQo vs QJo: preflop equity

AQo against QJo: the numbers

Each side holds one of the offsuit hands: AQo and QJo. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.

AQo is well ahead, and QJo needs a specific kind of board to catch up. Split pots make up 1.47% of the boards, and both equity figures count them as half a win each.

In the ranking of all 169 starting hands, AQo is number 14 and QJo is number 39.

Exact total: 108 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.

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, AQo's equity runs from 68.66% on rainbow flops topped by a ten or better up to 84.40% on low rainbow flops (nine high or lower). AQo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

Each hand has a baseline against a random hand: 64.43% for AQo, 58.14% for QJo. Here the change is +8.63 and -31.20 points.

Does a shared suit matter?

Does suit overlap move the numbers? AQo has 73.23% when the hands share a suit and 72.48% when they do not. AQo does better with a shared suit, by 0.75 points.

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 108 are AQo in one seat and QJo in the other (0.0066%); with the seats swapped too, 216 (0.0133%).

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. AQo averages $146.12 from the $200, up $46.12; QJo averages $53.88, down $46.12.

A thousand deals look like this: AQo takes 723, QJo takes 262, 15 are ties.

The same matchup from the other side

Swap the hands and you get QJo with 26.94% against AQo with 73.06%. We keep one page per matchup, with the better-ranked hand first.

Keep exploring

Open the calculator with AsQh against QdJc 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.

• Open AsQh against QdJc in the equity calculator
• AQo combos
• QJo combos
• AQo vs K9o
• AQo vs Q9s
• AJo vs QJo
• All hand matchups