A6s vs J9s: preflop equity

The exact count puts A6s at 55.60% and J9s at 44.40% when the two hands see all five board cards.

A6s

55.60%

Wins 55.37%, ties 0.48%

J9s

44.40%

Wins 44.15%, ties 0.48%

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

A6s against J9s: the numbers

Exact preflop results for A6s against J9s, in percent
HandWinsTiesLosesEquity
A6s55.3660.47544.15955.604
J9s44.1590.47555.36644.396

A6s meets J9s, and both are suited hands. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

A6s is ahead, but J9s is far from dead: it takes 441 of every 1,000 deals outright. A split pot comes up on 0.48% of boards, so the wins and the equity differ by half of that.

Place 31 of 169 belongs to A6s and place 55 belongs to J9s in the ranking against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A6s15,169,000130,00012,098,000
J9s12,098,000130,00015,169,000

The total is exact: 16 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.

A6s against J9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A6s1.2521.8062.2650.798
J9s0.7982.2651.8061.252

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

If you know the kind of flop that came, the numbers shift: A6s holds 61.20% on paired flops and 53.50% on monotone flops. A6s stays ahead on all five textures.

A6s against J9s by flop texture, in percent
FlopShare of flopsA6s winsTiesJ9s winsA6s equity
Rainbow, ten or higher24.54354.5320.13845.33054.601
Rainbow, nine or lower6.36654.5670.70144.73254.918
Two-tone46.72754.2980.23145.47154.413
Monotone5.27351.8013.39744.80253.499
Paired17.09160.8830.64138.47661.204

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

Each hand has a baseline against a random hand: 59.91% for A6s, 55.66% for J9s. Here the change is -4.31 and -11.26 points.

A6s and J9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A6s, all flops55.60459.906-4.3020.92819
A6s, rainbow, ten or higher54.60159.906-5.3050.91144
A6s, rainbow, nine or lower54.91859.906-4.9880.91674
A6s, two-tone54.41359.906-5.4930.90831
A6s, monotone53.49959.906-6.4070.89305
A6s, paired61.20459.906+1.2981.02167
J9s, all flops44.39655.662-11.2660.79760
J9s, rainbow, ten or higher45.39955.662-10.2630.81562
J9s, rainbow, nine or lower45.08255.662-10.5800.80992
J9s, two-tone45.58755.662-10.0750.81900
J9s, monotone46.50155.662-9.1610.83542
J9s, paired38.79655.662-16.8660.69699

Does a shared suit matter?

The suit split reads 57.29% for A6s with a shared suit and 55.04% without one. A6s does better with a shared suit, by 2.25 points.

A6s against J9s by suit overlap, in percent
DealsSpecific dealsShare of dealsA6s winsTiesJ9s winsA6s equity
Share a suit425.0057.0180.55242.43057.294
No shared suit1275.0054.8160.44944.73555.040

How often this matchup comes up

The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says A6s gets $111.20 of it on average and J9s gets $88.80.

Run 1,000 deals and the tally comes out near 554 for A6s, 441 for J9s and 5 ties.

The same matchup from the other side

The reversed view, J9s against A6s, shows 44.40% for J9s and 55.60% for A6s. It is the same count, so it redirects here.

As6s against Jh9h 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.

How this was computed

Method: exact enumeration. The 16 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.

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

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