A9s vs J9s: preflop equity

Dealt all in against each other, A9s takes 68.36% of the pot on average and J9s takes the other 31.64%.

A9s

68.36%

Wins 67.46%, ties 1.80%

J9s

31.64%

Wins 30.74%, ties 1.80%

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

A9s against J9s: the numbers

Exact preflop results for A9s against J9s, in percent
HandWinsTiesLosesEquity
A9s67.4571.80230.74168.358
J9s30.7411.80267.45731.642

A9s meets J9s, and both are suited hands. 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 lead of 36.72 points is large but not decisive: J9s still takes about 307 of every 1,000 deals. 1.80% of boards are ties, so the equity of each hand is its win rate plus half of that.

Ranked by equity against a random hand, A9s is number 18 of the 169 starting hands and J9s is number 55.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A9s13,861,000370,0006,317,000
J9s6,317,000370,00013,861,000

12 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.

A9s against J9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A9s2.1601.4823.2530.463
J9s0.4633.2531.4822.160

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

Across the five flop textures A9s' equity moves by 18.87 points, from 62.15% on monotone flops to 81.02% on low rainbow flops (nine high or lower). A9s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

A9s against J9s by flop texture, in percent
FlopShare of flopsA9s winsTiesJ9s winsA9s equity
Rainbow, ten or higher24.59565.5551.34933.09666.230
Rainbow, nine or lower6.31479.4753.09917.42681.024
Two-tone46.54366.1631.47832.35966.902
Monotone5.21560.1703.95135.87962.146
Paired17.33371.4442.19626.36072.542

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

A random hand would give A9s 62.78% and J9s 55.66%. Against each other the change is +5.58 points for A9s and -24.02 for J9s.

A9s and J9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A9s, all flops68.35862.781+5.5771.08883
A9s, rainbow, ten or higher66.23062.781+3.4491.05494
A9s, rainbow, nine or lower81.02462.781+18.2431.29058
A9s, two-tone66.90262.781+4.1211.06564
A9s, monotone62.14662.781-0.6350.98989
A9s, paired72.54262.781+9.7611.15548
J9s, all flops31.64255.662-24.0200.56847
J9s, rainbow, ten or higher33.77055.662-21.8920.60670
J9s, rainbow, nine or lower18.97655.662-36.6860.34091
J9s, two-tone33.09855.662-22.5640.59462
J9s, monotone37.85455.662-17.8080.68007
J9s, paired27.45855.662-28.2040.49330

Does a shared suit matter?

Every legal deal of A9s against J9s leaves the hands with no suit in common, so the suit split does not apply here.

A9s against J9s by suit overlap, in percent
DealsSpecific dealsShare of dealsA9s winsTiesJ9s winsA9s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0067.4571.80230.74168.358

How often this matchup comes up

Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says A9s gets $136.72 of it on average and J9s gets $63.28.

A thousand deals look like this: A9s takes 675, J9s takes 307, 18 are ties.

The same matchup from the other side

Swap the hands and you get J9s with 31.64% against A9s with 68.36%. We keep one page per matchup, with the better-ranked hand first.

Try As9s against Jh9h 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

Each figure is a complete count over boards. Take the 12 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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