A2s vs J9s: preflop equity

Before any board card is dealt, A2s holds 55.71% equity against J9s, which leaves J9s with 44.29%.

A2s

55.71%

Wins 55.44%, ties 0.53%

J9s

44.29%

Wins 44.03%, ties 0.53%

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

A2s against J9s: the numbers

Exact preflop results for A2s against J9s, in percent
HandWinsTiesLosesEquity
A2s55.4430.52644.03155.706
J9s44.0310.52655.44344.294

A2s 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.

A 11.42 point lead is real, and J9s still takes about 440 of every 1,000 deals outright. Ties are 0.53% of the outcomes here; each tied board gives both hands half the pot.

By strength against a random hand, A2s holds place 46 of 169 and J9s holds place 55.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A2s15,190,000144,00012,063,000
J9s12,063,000144,00015,190,000

Exact total: 16 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.

A2s against J9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A2s1.2581.8042.2710.795
J9s0.7952.2711.8041.258

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

The flop changes the picture. A2s does best on paired flops, at 61.26%, and worst on monotone flops, at 53.61%. A2s stays ahead on all five textures.

A2s against J9s by flop texture, in percent
FlopShare of flopsA2s winsTiesJ9s winsA2s equity
Rainbow, ten or higher24.54354.7570.16545.07854.840
Rainbow, nine or lower6.36654.0800.91145.00954.535
Two-tone46.72754.3840.28645.33054.527
Monotone5.27351.8953.43844.66753.614
Paired17.09160.9260.65738.41761.255

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

The table below sets each hand against its own random-hand baseline: a change of -1.67 points for A2s, from 57.38%, and -11.37 for J9s, from 55.66%.

A2s and J9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A2s, all flops55.70657.379-1.6730.97084
A2s, rainbow, ten or higher54.84057.379-2.5390.95575
A2s, rainbow, nine or lower54.53557.379-2.8440.95043
A2s, two-tone54.52757.379-2.8520.95030
A2s, monotone53.61457.379-3.7650.93438
A2s, paired61.25557.379+3.8761.06755
J9s, all flops44.29455.662-11.3680.79577
J9s, rainbow, ten or higher45.16055.662-10.5020.81133
J9s, rainbow, nine or lower45.46555.662-10.1970.81681
J9s, two-tone45.47355.662-10.1890.81695
J9s, monotone46.38655.662-9.2760.83335
J9s, paired38.74555.662-16.9170.69608

Does a shared suit matter?

The suit split reads 57.41% for A2s with a shared suit and 55.14% without one. A2s does better with a shared suit, by 2.27 points.

A2s against J9s by suit overlap, in percent
DealsSpecific dealsShare of dealsA2s winsTiesJ9s winsA2s equity
Share a suit425.0057.1040.60842.28857.408
No shared suit1275.0054.8890.49944.61255.139

How often this matchup comes up

This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average A2s takes back $111.42 of it, which is $11.42 more than it put in, and J9s takes back $88.58, $11.42 less than it put in.

Per 1,000 deals: A2s wins about 555, J9s wins about 440, and about 5 end in a split pot.

The same matchup from the other side

Swap the hands and you get J9s with 44.29% against A2s with 55.71%. We keep one page per matchup, with the better-ranked hand first.

Try As2s 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 16 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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