A9o vs 97s: preflop equity

A9o against 97s: the numbers

A9o, an offsuit hand, plays 97s, 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.

That is a clear edge, 67.43% to 32.57%, but 97s still wins often enough that one hand proves nothing. Of every 100 boards, about 2.20 are split pots, and the equity figures already include them.

The hand ranking puts A9o at 25 and 97s at 94 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 final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

Across the five flop textures A9o's equity moves by 19.47 points, from 52.90% on low rainbow flops (nine high or lower) to 72.37% on paired flops. A9o 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, A9o holds 60.77% and 97s holds 49.12%. Facing each other changes that by +6.66 points for A9o and -16.55 points for 97s.

Does a shared suit matter?

Two kinds of deal exist here. In 12 of them the hands share a suit and A9o holds 68.49%. In 24 they do not, and it holds 66.90%. A9o does better with a shared suit, by 1.59 points.

How often this matchup comes up

A9o against 97s 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, A9o's average share is $134.86 (a gain of $34.86) and 97s' is $65.14 (a loss of $34.86).

Run 1,000 deals and the tally comes out near 663 for A9o, 315 for 97s and 22 ties.

The same matchup from the other side

If you came looking for 97s against A9o, the numbers are the same with the hands swapped: 32.57% and 67.43%.

Keep exploring

Try As9h against 9d7d 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 As9h against 9d7d in the equity calculator
• A9o combos
• 97s combos
• A9o vs 87s
• A9o vs 86s
• KJo vs 97s
• All hand matchups