AJo vs QJs: preflop equity

AJo against QJs: the numbers

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

That is a clear edge, 68.77% to 31.23%, but QJs still wins often enough that one hand proves nothing. About 1.44% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

The hand ranking puts AJo at 15 and QJs at 28 out of 169 starting hands.

The total is exact: 36 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

Low rainbow flops (nine high or lower) are the best for AJo (81.38%); monotone flops are the worst (64.32%). AJo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

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

A random hand would give AJo 63.56% and QJs 60.26%. Against each other the change is +5.21 points for AJo and -29.03 for QJs.

Does a shared suit matter?

Split by suits, the deals give AJo 69.80% when the hands overlap in a suit and 68.25% when they do not. AJo does better with a shared suit, by 1.55 points.

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

Try it with money: two players each put in $100 and the whole board runs out every possible way. AJo averages $137.54 from the $200, up $37.54; QJs averages $62.46, down $37.54.

Run 1,000 deals and the tally comes out near 681 for AJo, 305 for QJs and 14 ties.

The same matchup from the other side

One page covers both views. From QJs' side the equity is 31.23%, and from AJo's side it is 68.77%.

Keep exploring

AsJh against QdJd is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

• Open AsJh against QdJd in the equity calculator
• AJo combos
• QJs combos
• AJo vs K9s
• AJo vs A5s
• KQs vs QJs
• All hand matchups