AKo vs A3s: preflop equity

AKo against A3s: the numbers

We compare an offsuit hand with a suited hand. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

AKo is well ahead, and A3s needs a specific kind of board to catch up. Ties are part of the picture: 4.66% of boards end in a split pot, and each side counts that as half a win.

Ranked by equity against a random hand, AKo is number 12 of the 169 starting hands and A3s is number 38.

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.

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

By flop texture, AKo's equity runs from 55.16% on low rainbow flops (nine high or lower) up to 76.67% on rainbow flops topped by a ten or better. AKo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

Against one random hand instead, AKo holds 65.32% and A3s holds 58.22%. Facing each other changes that by +4.06 points for AKo and -27.60 points for A3s.

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common AKo has 70.20% equity, and with none in common it has 68.97%. AKo does better with a shared suit, by 1.23 points.

How often this matchup comes up

You will meet this exact matchup 0.0044% of the time in a random heads-up deal: 72 of 1,624,350, counting either seat order.

A worked example

Put $100 each into a $200 pot and deal every board once: AKo averages $138.76 back, ahead of its $100 by $38.76, while A3s averages $61.24, short of its $100 by $38.76.

In 1,000 deals of exactly this matchup, expect about 670 won outright by AKo, about 283 won outright by A3s and about 47 split.

The same matchup from the other side

If you came looking for A3s against AKo, the numbers are the same with the hands swapped: 30.62% and 69.38%.

Keep exploring

AsKh against Ad3d 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 AsKh against Ad3d in the equity calculator
• AKo combos
• A3s combos
• AKo vs QJo
• AKo vs K9o
• ATs vs A3s
• All hand matchups