JJ vs AJs: preflop equity

Averaged over every possible board, JJ is ahead of AJs by 30.98 points of equity, 65.49% to 34.51%.

JJ

65.49%

Wins 64.66%, ties 1.66%

AJs

34.51%

Wins 33.68%, ties 1.66%

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

JJ against AJs: the numbers

Exact preflop results for JJ against AJs, in percent
HandWinsTiesLosesEquity
JJ64.6641.65933.67765.494
AJs33.6771.65964.66434.506

Here a pocket pair (JJ) meets a suited hand (AJs). The pair already holds one of the other hand's ranks, and that overlap cuts down the cards the other hand can pair with.

That is a clear edge, 65.49% to 34.51%, but AJs still wins often enough that one hand proves nothing. Ties are part of the picture: 1.66% of boards end in a split pot, and each side counts that as half a win.

The hand ranking puts JJ at 4 and AJs at 11 out of 169 starting hands.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JJ13,287,000341,0006,920,000
AJs6,920,000341,00013,287,000

The board total is exact, 12 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

JJ against AJs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JJ1.8981.5462.9690.527
AJs0.5272.9691.5461.898

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

By flop texture, JJ's equity runs from 61.09% on monotone flops up to 81.48% on low rainbow flops (nine high or lower). JJ stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

JJ against AJs by flop texture, in percent
FlopShare of flopsJJ winsTiesAJs winsJJ equity
Rainbow, ten or higher23.01160.2971.92537.77861.259
Rainbow, nine or lower7.77180.4642.03117.50581.480
Two-tone46.23662.1321.76136.10763.013
Monotone5.15159.7832.61537.60261.091
Paired17.83171.3900.61127.99971.696

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

Relative to a random opponent, JJ changes by -11.98 points (baseline 77.47%) and AJs by -30.88 points (baseline 65.39%).

JJ and AJs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JJ, all flops65.49477.469-11.9750.84542
JJ, rainbow, ten or higher61.25977.469-16.2100.79076
JJ, rainbow, nine or lower81.48077.469+4.0111.05178
JJ, two-tone63.01377.469-14.4560.81340
JJ, monotone61.09177.469-16.3780.78859
JJ, paired71.69677.469-5.7730.92548
AJs, all flops34.50665.393-30.8870.52767
AJs, rainbow, ten or higher38.74165.393-26.6520.59243
AJs, rainbow, nine or lower18.52065.393-46.8730.28321
AJs, two-tone36.98765.393-28.4060.56561
AJs, monotone38.90965.393-26.4840.59500
AJs, paired28.30465.393-37.0890.43283

Does a shared suit matter?

For this pair the shared-suit row is empty: the two hands cannot both own a card of one suit without reusing a card.

JJ against AJs by suit overlap, in percent
DealsSpecific dealsShare of dealsJJ winsTiesAJs winsJJ equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0064.6641.65933.67765.494

How often this matchup comes up

Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, JJ's average share is $130.98 (a gain of $30.98) and AJs' is $69.02 (a loss of $30.98).

Out of 1,000 deals you should see around 647 outright wins for JJ, 337 for AJs, and 16 split pots.

The same matchup from the other side

If you came looking for AJs against JJ, the numbers are the same with the hands swapped: 34.51% and 65.49%.

Try JsJh against AdJd 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

Nothing here is simulated. The 12 deals of JJ against AJs fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

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

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