AKo vs J9s: preflop equity

In equity, AKo against J9s stands at 60.74% to 39.26%, a gap of 21.48 points.

AKo

60.74%

Wins 60.51%, ties 0.46%

J9s

39.26%

Wins 39.03%, ties 0.46%

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

AKo against J9s: the numbers

Exact preflop results for AKo against J9s, in percent
HandWinsTiesLosesEquity
AKo60.5090.45839.03360.738
J9s39.0330.45860.50939.262

The matchup pits an offsuit hand against a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

A 21.48 point lead is real, and J9s still takes about 390 of every 1,000 deals outright. About 0.46% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

By strength against a random hand, AKo holds place 12 of 169 and J9s holds place 55.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AKo49,733,000376,00032,081,000
J9s32,081,000376,00049,733,000

The board total is exact, 48 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

AKo against J9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AKo1.5471.6532.5620.646
J9s0.6462.5621.6531.547

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

Split by what the flop looks like, AKo peaks at 64.13% on rainbow flops topped by a ten or better and bottoms out at 54.85% on low rainbow flops (nine high or lower). AKo stays ahead on all five textures.

AKo against J9s by flop texture, in percent
FlopShare of flopsAKo winsTiesJ9s winsAKo equity
Rainbow, ten or higher23.98864.0650.12435.81164.127
Rainbow, nine or lower7.04254.3750.94944.67654.849
Two-tone46.66759.0300.28540.68559.173
Monotone5.21257.6832.38039.93758.873
Paired17.09162.9430.61236.44563.249

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

Each hand has a baseline against a random hand: 65.32% for AKo, 55.66% for J9s. Here the change is -4.58 and -16.40 points.

AKo and J9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AKo, all flops60.73865.320-4.5820.92985
AKo, rainbow, ten or higher64.12765.320-1.1930.98174
AKo, rainbow, nine or lower54.84965.320-10.4710.83970
AKo, two-tone59.17365.320-6.1470.90589
AKo, monotone58.87365.320-6.4470.90130
AKo, paired63.24965.320-2.0710.96829
J9s, all flops39.26255.662-16.4000.70536
J9s, rainbow, ten or higher35.87355.662-19.7890.64448
J9s, rainbow, nine or lower45.15155.662-10.5110.81116
J9s, two-tone40.82755.662-14.8350.73348
J9s, monotone41.12755.662-14.5350.73887
J9s, paired36.75155.662-18.9110.66025

Does a shared suit matter?

The suit split reads 61.45% for AKo with a shared suit and 60.03% without one. AKo does better with a shared suit, by 1.42 points.

AKo against J9s by suit overlap, in percent
DealsSpecific dealsShare of dealsAKo winsTiesJ9s winsAKo equity
Share a suit2450.0061.1950.49938.30661.445
No shared suit2450.0059.8230.41739.76060.031

How often this matchup comes up

Counting specific cards, AKo against J9s appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. AKo averages $121.48 from the $200, up $21.48; J9s averages $78.52, down $21.48.

A thousand deals look like this: AKo takes 605, J9s takes 390, 5 are ties.

The same matchup from the other side

If you came looking for J9s against AKo, the numbers are the same with the hands swapped: 39.26% and 60.74%.

The calculator link fills in AsKh against Jd9d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

We counted every case. Each suit pattern of the 48 specific AKo 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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