AQo vs A3s: preflop equity

AQo against A3s: the numbers

AQo is an offsuit hand and A3s is a suited 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.

AQo is well ahead, and A3s needs a specific kind of board to catch up. Ties are 5.80% of the outcomes here; each tied board gives both hands half the pot.

Ranked by equity against a random hand, AQo is number 14 of the 169 starting hands and A3s is number 38.

Exact total: 36 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.

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

Split by what the flop looks like, AQo peaks at 76.18% on rainbow flops topped by a ten or better and bottoms out at 55.20% 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.

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

Against one random hand instead, AQo holds 64.43% and A3s holds 58.22%. Facing each other changes that by +4.42 points for AQo and -27.07 points for A3s.

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common AQo has 69.67% equity, and with none in common it has 68.44%. AQo does better with a shared suit, by 1.23 points.

How often this matchup comes up

AQo against A3s is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, AQo's average share is $137.70 (a gain of $37.70) and A3s' is $62.30 (a loss of $37.70).

Run 1,000 deals and the tally comes out near 660 for AQo, 282 for A3s and 58 ties.

The same matchup from the other side

A3s against AQo adds nothing new: it is 31.15% for A3s and 68.85% for AQo, the same figures reversed.

Keep exploring

The calculator link fills in AsQh against Ad3d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

• Open AsQh against Ad3d in the equity calculator
• AQo combos
• A3s combos
• AQo vs QJo
• AQo vs K9o
• AJo vs A3s
• All hand matchups