A7s vs J9s: preflop equity

The exact count puts A7s at 56.40% and J9s at 43.60% when the two hands see all five board cards.

A7s

56.40%

Wins 56.16%, ties 0.47%

J9s

43.60%

Wins 43.37%, ties 0.47%

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

A7s against J9s: the numbers

Exact preflop results for A7s against J9s, in percent
HandWinsTiesLosesEquity
A7s56.1610.46843.37156.395
J9s43.3710.46856.16143.605

A7s 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.

A7s is ahead, but J9s is far from dead: it takes 434 of every 1,000 deals outright. Ties are 0.47% of the outcomes here; each tied board gives both hands half the pot.

Among the 169 starting hands, A7s is number 24 and J9s is number 55 by strength against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A7s15,386,000128,00011,882,000
J9s11,882,000128,00015,386,000

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.

A7s against J9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A7s1.2931.7812.3060.773
J9s0.7732.3061.7811.293

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

The flop changes the picture. A7s does best on paired flops, at 61.67%, and worst on monotone flops, at 54.07%. A7s stays ahead on all five textures.

A7s against J9s by flop texture, in percent
FlopShare of flopsA7s winsTiesJ9s winsA7s equity
Rainbow, ten or higher24.54355.4680.16644.36655.551
Rainbow, nine or lower6.36655.6370.55143.81255.912
Two-tone46.72755.1270.22444.64955.239
Monotone5.27352.3773.39344.23054.074
Paired17.09161.3460.63738.01761.665

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

Compared with a random opponent, this matchup shifts A7s from 60.98% by -4.58 points and J9s from 55.66% by -12.06 points.

A7s and J9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A7s, all flops56.39560.984-4.5890.92475
A7s, rainbow, ten or higher55.55160.984-5.4330.91091
A7s, rainbow, nine or lower55.91260.984-5.0720.91683
A7s, two-tone55.23960.984-5.7450.90579
A7s, monotone54.07460.984-6.9100.88669
A7s, paired61.66560.984+0.6811.01117
J9s, all flops43.60555.662-12.0570.78339
J9s, rainbow, ten or higher44.44955.662-11.2130.79855
J9s, rainbow, nine or lower44.08855.662-11.5740.79207
J9s, two-tone44.76155.662-10.9010.80416
J9s, monotone45.92655.662-9.7360.82509
J9s, paired38.33555.662-17.3270.68871

Does a shared suit matter?

Split by suits, the deals give A7s 58.20% when the hands overlap in a suit and 55.80% when they do not. A7s does better with a shared suit, by 2.40 points.

A7s against J9s by suit overlap, in percent
DealsSpecific dealsShare of dealsA7s winsTiesJ9s winsA7s equity
Share a suit425.0057.9240.54341.53358.195
No shared suit1275.0055.5740.44343.98355.795

How often this matchup comes up

You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. A7s averages $112.80 from the $200, up $12.80; J9s averages $87.20, down $12.80.

In 1,000 deals of exactly this matchup, expect about 561 won outright by A7s, about 434 won outright by J9s and about 5 split.

The same matchup from the other side

Read it from the other side: J9s against A7s is the same matchup with the numbers swapped, so J9s holds 43.60% and A7s holds 56.40%. That address sends you back to this page.

Try As7s 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 16 specific deals of A7s against J9s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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