AKs vs J9s: preflop equity

Over all 1,712,304 boards that can follow this deal, AKs finishes with 63.24% of the pot and J9s with 36.76%.

AKs

63.24%

Wins 62.99%, ties 0.50%

J9s

36.76%

Wins 36.51%, ties 0.50%

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

AKs against J9s: the numbers

Exact preflop results for AKs against J9s, in percent
HandWinsTiesLosesEquity
AKs62.9850.50136.51463.235
J9s36.5140.50162.98536.765

AKs and J9s are both suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

AKs is ahead, but J9s is far from dead: it takes 365 of every 1,000 deals outright. 0.50% of boards are ties, so the equity of each hand is its win rate plus half of that.

The hand ranking puts AKs at 8 and J9s at 55 out of 169 starting hands.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AKs17,256,000137,00010,004,000
J9s10,004,000137,00017,256,000

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.

AKs against J9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AKs1.7201.5882.7390.581
J9s0.5812.7391.5881.720

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

By flop texture, AKs' equity runs from 56.92% on low rainbow flops (nine high or lower) up to 65.49% on rainbow flops topped by a ten or better. AKs stays ahead on all five textures.

AKs against J9s by flop texture, in percent
FlopShare of flopsAKs winsTiesJ9s winsAKs equity
Rainbow, ten or higher23.86765.4280.11934.45365.488
Rainbow, nine or lower7.04256.4570.91642.62756.915
Two-tone46.72762.4320.26537.30362.565
Monotone5.27358.6213.41337.96660.328
Paired17.09165.1170.61234.27165.423

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

How much does the opponent matter? Compared with its random-hand 67.05%, AKs changes by -3.81 points, and J9s, from 55.66%, by -18.90.

AKs and J9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AKs, all flops63.23567.045-3.8100.94317
AKs, rainbow, ten or higher65.48867.045-1.5570.97678
AKs, rainbow, nine or lower56.91567.045-10.1300.84891
AKs, two-tone62.56567.045-4.4800.93318
AKs, monotone60.32867.045-6.7170.89981
AKs, paired65.42367.045-1.6220.97581
J9s, all flops36.76555.662-18.8970.66050
J9s, rainbow, ten or higher34.51255.662-21.1500.62003
J9s, rainbow, nine or lower43.08555.662-12.5770.77405
J9s, two-tone37.43555.662-18.2270.67254
J9s, monotone39.67255.662-15.9900.71273
J9s, paired34.57755.662-21.0850.62120

Does a shared suit matter?

The suit split reads 65.60% for AKs with a shared suit and 62.45% without one. AKs does better with a shared suit, by 3.15 points.

AKs against J9s by suit overlap, in percent
DealsSpecific dealsShare of dealsAKs winsTiesJ9s winsAKs equity
Share a suit425.0065.3090.58034.11165.599
No shared suit1275.0062.2100.47537.31562.447

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

Try it with money: two players each put in $100 and the whole board runs out every possible way. AKs averages $126.48 from the $200, up $26.48; J9s averages $73.52, down $26.48.

Per 1,000 deals: AKs wins about 630, J9s wins about 365, and about 5 end in a split pot.

The same matchup from the other side

The reversed view, J9s against AKs, shows 36.76% for J9s and 63.24% for AKs. It is the same count, so it redirects here.

Try AsKs 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

We counted every case. Each suit pattern of the 16 specific AKs against J9s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

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