JJ vs AKs: preflop equity

Before any board card is dealt, JJ holds 54.04% equity against AKs, which leaves AKs with 45.96%.

JJ

54.04%

Wins 53.83%, ties 0.42%

AKs

45.96%

Wins 45.75%, ties 0.42%

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

JJ against AKs: the numbers

Exact preflop results for JJ against AKs, in percent
HandWinsTiesLosesEquity
JJ53.8290.42045.75154.039
AKs45.7510.42053.82945.961

Here a pocket pair (JJ) meets a suited hand (AKs). A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.

That is a slim edge: neither hand is far ahead. Ties are 0.42% of the outcomes here; each tied board gives both hands half the pot.

Ranked by equity against a random hand, JJ is number 4 of the 169 starting hands and AKs is number 8.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JJ22,121,000173,00018,802,000
AKs18,802,000173,00022,121,000

The total is exact: 24 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

JJ against AKs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JJ1.1761.8582.1860.851
AKs0.8512.1861.8581.176

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

Break the boards down by their first three cards and JJ is strongest on low rainbow flops (nine high or lower) (71.21%) and weakest on rainbow flops topped by a ten or better (48.56%). Rainbow flops topped by a ten or better favor AKs, the hand that is behind overall.

JJ against AKs by flop texture, in percent
FlopShare of flopsJJ winsTiesAKs winsJJ equity
Rainbow, ten or higher23.13848.5060.11051.38448.561
Rainbow, nine or lower7.77170.6051.20128.19471.205
Two-tone46.54551.6740.34747.97951.847
Monotone5.21251.1842.41746.39952.392
Paired17.33459.9940.08339.92360.035

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

Relative to a random opponent, JJ changes by -23.43 points (baseline 77.47%) and AKs by -21.09 points (baseline 67.05%).

JJ and AKs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JJ, all flops54.03977.469-23.4300.69756
JJ, rainbow, ten or higher48.56177.469-28.9080.62684
JJ, rainbow, nine or lower71.20577.469-6.2640.91914
JJ, two-tone51.84777.469-25.6220.66926
JJ, monotone52.39277.469-25.0770.67630
JJ, paired60.03577.469-17.4340.77496
AKs, all flops45.96167.045-21.0840.68552
AKs, rainbow, ten or higher51.43967.045-15.6060.76723
AKs, rainbow, nine or lower28.79567.045-38.2500.42949
AKs, two-tone48.15367.045-18.8920.71822
AKs, monotone47.60867.045-19.4370.71009
AKs, paired39.96567.045-27.0800.59609

Does a shared suit matter?

Split by suits, the deals give JJ 54.21% when the hands overlap in a suit and 53.87% when they do not. JJ does better with a shared suit, by 0.34 points.

JJ against AKs by suit overlap, in percent
DealsSpecific dealsShare of dealsJJ winsTiesAKs winsJJ equity
Share a suit1250.0053.9750.46245.56354.206
No shared suit1250.0053.6820.37945.93953.871

How often this matchup comes up

How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are JJ against AKs, and 48 (0.0030%) if either hand may sit in either seat.

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says JJ gets $108.08 of it on average and AKs gets $91.92.

A thousand deals look like this: JJ takes 538, AKs takes 458, 4 are ties.

The same matchup from the other side

The mirror image, AKs against JJ, is 45.96% to 54.04%, and its address redirects to this page.

Try JsJh against AdKd 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 24 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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