A9o vs A6s: preflop equity

Before any board card is dealt, A9o holds 64.95% equity against A6s, which leaves A6s with 35.05%.

A9o

64.95%

Wins 57.71%, ties 14.48%

A6s

35.05%

Wins 27.81%, ties 14.48%

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

A9o against A6s: the numbers

Exact preflop results for A9o against A6s, in percent
HandWinsTiesLosesEquity
A9o57.71214.48427.80464.954
A6s27.80414.48457.71235.046

A9o, an offsuit hand, plays A6s, 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.

A 29.90 point lead is real, and A6s still takes about 278 of every 1,000 deals outright. About 14.48% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

Among the 169 starting hands, A9o is number 25 and A6s is number 31 by strength against a random hand.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A9o35,575,0008,928,00017,139,000
A6s17,139,0008,928,00035,575,000

Exact total: 36 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.

A9o against A6s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A9o1.8531.7333.5970.540
A6s0.5403.5971.7331.853

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

Split by what the flop looks like, A9o peaks at 69.04% on rainbow flops topped by a ten or better and bottoms out at 60.95% on paired flops. A9o stays ahead on all five textures.

A9o against A6s by flop texture, in percent
FlopShare of flopsA9o winsTiesA6s winsA9o equity
Rainbow, ten or higher24.58862.09813.88824.01469.042
Rainbow, nine or lower6.36064.0281.98233.99065.019
Two-tone46.52759.29610.75129.95364.672
Monotone5.19256.27510.25733.46861.403
Paired17.33345.35331.20023.44760.953

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

Against one random hand instead, A9o holds 60.77% and A6s holds 59.91%. Facing each other changes that by +4.18 points for A9o and -24.86 points for A6s.

A9o and A6s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A9o, all flops64.95460.773+4.1811.06880
A9o, rainbow, ten or higher69.04260.773+8.2691.13606
A9o, rainbow, nine or lower65.01960.773+4.2461.06987
A9o, two-tone64.67260.773+3.8991.06416
A9o, monotone61.40360.773+0.6301.01037
A9o, paired60.95360.773+0.1801.00296
A6s, all flops35.04659.906-24.8600.58502
A6s, rainbow, ten or higher30.95859.906-28.9480.51678
A6s, rainbow, nine or lower34.98159.906-24.9250.58393
A6s, two-tone35.32859.906-24.5780.58972
A6s, monotone38.59759.906-21.3090.64429
A6s, paired39.04759.906-20.8590.65180

Does a shared suit matter?

The suit split reads 65.74% for A9o with a shared suit and 64.56% without one. A9o does better with a shared suit, by 1.18 points.

A9o against A6s by suit overlap, in percent
DealsSpecific dealsShare of dealsA9o winsTiesA6s winsA9o equity
Share a suit1233.3358.41914.63426.94765.736
No shared suit2466.6757.35914.40828.23364.563

How often this matchup comes up

This page stands for 36 specific-card matchups (0.0022% of 1,624,350 ordered deals), or 72 once you count the seats both ways (0.0044%).

A worked example

Put $100 each into a $200 pot and deal every board once: A9o averages $129.90 back, ahead of its $100 by $29.90, while A6s averages $70.10, short of its $100 by $29.90.

Out of 1,000 deals you should see around 577 outright wins for A9o, 278 for A6s, and 145 split pots.

The same matchup from the other side

A6s versus A9o is this same page seen from the other hand: 35.05% for A6s, 64.95% for A9o.

Open the calculator with As9h against Ad6d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

Each figure is a complete count over boards. Take the 36 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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