A9o vs K9s: preflop equity

A9o against K9s: the numbers

One side is an offsuit hand, the other is 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.

A9o is well ahead, and K9s needs a specific kind of board to catch up. About 2.05% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

Ranked by equity against a random hand, A9o is number 25 of the 169 starting hands and K9s is number 29.

The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

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

A9o prefers low rainbow flops (nine high or lower), where it holds 82.99%, and likes monotone flops least, where it holds 65.16%. A9o 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

Start from the random-hand figures, 60.77% for A9o and 59.99% for K9s. This opponent changes them by +9.24 and -30.00 points.

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common A9o has 71.13% equity, and with none in common it has 69.45%. A9o does better with a shared suit, by 1.68 points.

How often this matchup comes up

Counting specific cards, A9o against K9s appears in 36 of the 1,624,350 ordered heads-up deals (0.0022%), and in 72 when the seats are swapped too (0.0044%).

A worked example

Put $100 each into a $200 pot and deal every board once: A9o averages $140.02 back, ahead of its $100 by $40.02, while K9s averages $59.98, short of its $100 by $40.02.

In 1,000 deals of exactly this matchup, expect about 690 won outright by A9o, about 290 won outright by K9s and about 20 split.

The same matchup from the other side

K9s against A9o adds nothing new: it is 29.99% for K9s and 70.01% for A9o, the same figures reversed.

Keep exploring

As9h against Kd9d 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 As9h against Kd9d in the equity calculator
• A9o combos
• K9s combos
• A9o vs A5s
• A9o vs A6s
• KJo vs K9s
• All hand matchups