A9s vs A6s: preflop equity

If A9s and A6s get all the chips in before the flop, A9s owns 66.46% of the pot in the long run and A6s owns 33.54%.

A9s

66.46%

Wins 59.61%, ties 13.71%

A6s

33.54%

Wins 26.68%, ties 13.71%

Equity counts a tie as half a win. Exact over every board.

A9s against A6s: the numbers

Exact preflop results for A9s against A6s, in percent
HandWinsTiesLosesEquity
A9s59.60813.70726.68566.461
A6s26.68513.70759.60833.539

Both hands are suited hands: A9s and A6s. 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, 66.46% to 33.54%, but A6s still wins often enough that one hand proves nothing. About 13.71% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

For context, A9s sits at number 18 of 169 starting hands and A6s at number 31 when each is run against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A9s12,248,0002,816,0005,483,000
A6s5,483,0002,816,00012,248,000

Exact total: 12 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.

A9s against A6s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A9s1.9821.6783.7470.505
A6s0.5053.7471.6781.982

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

Split by what the flop looks like, A9s peaks at 69.90% on rainbow flops topped by a ten or better and bottoms out at 61.84% on monotone flops. A9s stays ahead on all five textures.

A9s against A6s by flop texture, in percent
FlopShare of flopsA9s winsTiesA6s winsA9s equity
Rainbow, ten or higher24.52663.15113.50423.34569.903
Rainbow, nine or lower6.38365.2291.90632.86566.182
Two-tone46.54361.6389.97028.39266.623
Monotone5.21556.78010.11833.10261.839
Paired17.33347.92429.45522.62162.651

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

The table below sets each hand against its own random-hand baseline: a change of +3.68 points for A9s, from 62.78%, and -26.37 for A6s, from 59.91%.

A9s and A6s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A9s, all flops66.46162.781+3.6801.05862
A9s, rainbow, ten or higher69.90362.781+7.1221.11344
A9s, rainbow, nine or lower66.18262.781+3.4011.05417
A9s, two-tone66.62362.781+3.8421.06120
A9s, monotone61.83962.781-0.9420.98500
A9s, paired62.65162.781-0.1300.99793
A6s, all flops33.53959.906-26.3670.55986
A6s, rainbow, ten or higher30.09759.906-29.8090.50240
A6s, rainbow, nine or lower33.81859.906-26.0880.56452
A6s, two-tone33.37759.906-26.5290.55716
A6s, monotone38.16159.906-21.7450.63701
A6s, paired37.34959.906-22.5570.62346

Does a shared suit matter?

The hands cannot hold a suit in common here, which leaves a single case and a single number: 66.46% for A9s.

A9s against A6s by suit overlap, in percent
DealsSpecific dealsShare of dealsA9s winsTiesA6s winsA9s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0059.60813.70726.68566.461

How often this matchup comes up

How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are A9s against A6s, and 24 (0.0015%) if either hand may sit in either seat.

A worked example

Take a $200 pot built from $100 each. A9s' equity of 66.46% is worth $132.92, a $32.92 edge, and A6s' 33.54% is worth $67.08, which is $32.92 under its stake.

In 1,000 deals of exactly this matchup, expect about 596 won outright by A9s, about 267 won outright by A6s and about 137 split.

The same matchup from the other side

The reversed view, A6s against A9s, shows 33.54% for A6s and 66.46% for A9s. It is the same count, so it redirects here.

Try As9s against Ah6h 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.

How this was computed

This is an exact count with no sampling. For the 12 ways to deal one A9s and one A6s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.

Bring your own hands to a session

Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.

Book a session