JJ vs A2s: preflop equity

Averaged over every possible board, JJ is ahead of A2s by 35.56 points of equity, 67.78% to 32.22%.

JJ

67.78%

Wins 67.56%, ties 0.44%

A2s

32.22%

Wins 32.00%, ties 0.44%

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

JJ against A2s: the numbers

Exact preflop results for JJ against A2s, in percent
HandWinsTiesLosesEquity
JJ67.5560.44432.00067.778
A2s32.0000.44467.55632.222

One side is a pocket pair, the other is a suited hand. The pair sits between the other hand's two cards: one is higher and one is lower, so the pair is exposed to the higher card.

JJ is the clear favorite, though A2s gets there on roughly one board in 3. 0.44% of boards are ties, so the equity of each hand is its win rate plus half of that.

By strength against a random hand, JJ holds place 4 of 169 and A2s holds place 46.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JJ27,762,000182,00013,150,000
A2s13,150,000182,00027,762,000

Exact total: 24 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.

JJ against A2s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JJ2.1031.4803.1250.475
A2s0.4753.1251.4802.103

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

The flop changes the picture. JJ does best on low rainbow flops (nine high or lower), at 75.38%, and worst on monotone flops, at 63.35%. JJ stays ahead on all five textures.

JJ against A2s by flop texture, in percent
FlopShare of flopsJJ winsTiesA2s winsJJ equity
Rainbow, ten or higher23.86767.4890.14932.36267.563
Rainbow, nine or lower7.04274.7611.23024.00975.376
Two-tone46.54565.8900.36133.74966.071
Monotone5.21262.1312.43335.43663.348
Paired17.33470.8220.15629.02270.900

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

Each hand has a baseline against a random hand: 77.47% for JJ, 57.38% for A2s. Here the change is -9.69 and -25.16 points.

JJ and A2s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JJ, all flops67.77877.469-9.6910.87490
JJ, rainbow, ten or higher67.56377.469-9.9060.87213
JJ, rainbow, nine or lower75.37677.469-2.0930.97298
JJ, two-tone66.07177.469-11.3980.85287
JJ, monotone63.34877.469-14.1210.81772
JJ, paired70.90077.469-6.5690.91520
A2s, all flops32.22257.379-25.1570.56156
A2s, rainbow, ten or higher32.43757.379-24.9420.56531
A2s, rainbow, nine or lower24.62457.379-32.7550.42915
A2s, two-tone33.92957.379-23.4500.59131
A2s, monotone36.65257.379-20.7270.63877
A2s, paired29.10057.379-28.2790.50715

Does a shared suit matter?

Looking only at deals where the hands share a suit, JJ has 68.07%; looking only at deals where they do not, 67.48%. JJ does better with a shared suit, by 0.59 points.

JJ against A2s by suit overlap, in percent
DealsSpecific dealsShare of dealsJJ winsTiesA2s winsJJ equity
Share a suit1250.0067.8300.48731.68368.073
No shared suit1250.0067.2820.40032.31867.482

How often this matchup comes up

How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are JJ against A2s, and 48 (0.0030%) if either hand may sit in either seat.

A worked example

Put $100 each into a $200 pot and deal every board once: JJ averages $135.56 back, ahead of its $100 by $35.56, while A2s averages $64.44, short of its $100 by $35.56.

In 1,000 deals of exactly this matchup, expect about 676 won outright by JJ, about 320 won outright by A2s and about 4 split.

The same matchup from the other side

A2s versus JJ is this same page seen from the other hand: 32.22% for A2s, 67.78% for JJ.

Try JsJh against Ad2d 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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