AKo vs A9o: preflop equity

AKo against A9o: the numbers

Each side holds one of the offsuit hands: AKo and A9o. 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, 74.24% to 25.76%, but A9o still wins often enough that one hand proves nothing. About 4.73% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

Among the 169 starting hands, AKo is number 12 and A9o is number 25 by strength against a random hand.

The total is exact: 108 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.

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, AKo's equity runs from 60.22% on low rainbow flops (nine high or lower) up to 79.45% 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.

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

How much does the opponent matter? Compared with its random-hand 65.32%, AKo changes by +8.92 points, and A9o, from 60.77%, by -35.01.

Does a shared suit matter?

Looking only at deals where the hands share a suit, AKo has 74.35%; looking only at deals where they do not, 73.87%. AKo does better with a shared suit, by 0.48 points.

How often this matchup comes up

AKo against A9o is made up of 108 specific-card matchups in one seat order, 0.0066% of the 1,624,350 ordered deals, and 216 counting both seat orders, 0.0133%.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average AKo takes back $148.48 of it, which is $48.48 more than it put in, and A9o takes back $51.52, $48.48 less than it put in.

In 1,000 deals of exactly this matchup, expect about 719 won outright by AKo, about 234 won outright by A9o and about 47 split.

The same matchup from the other side

If you came looking for A9o against AKo, the numbers are the same with the hands swapped: 25.76% and 74.24%.

Keep exploring

Try AsKh against Ad9c 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.

• Open AsKh against Ad9c in the equity calculator
• AKo combos
• A9o combos
• AKo vs KJo
• AKo vs 55
• ATs vs A9o
• All hand matchups