JJ vs A8s: preflop equity

Before any board card is dealt, JJ holds 68.07% equity against A8s, which leaves A8s with 31.93%.

JJ

68.07%

Wins 67.88%, ties 0.38%

A8s

31.93%

Wins 31.74%, ties 0.38%

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

JJ against A8s: the numbers

Exact preflop results for JJ against A8s, in percent
HandWinsTiesLosesEquity
JJ67.8830.37931.73868.072
A8s31.7380.37967.88331.928

The first hand is a pocket pair; the second is a suited hand. The pair is ahead of one card and behind the other, so the board decides how that plays out.

A lead of 36.14 points is large but not decisive: A8s still takes about 317 of every 1,000 deals. A split pot comes up on 0.38% of boards, so the wins and the equity differ by half of that.

Ranked by equity against a random hand, JJ is number 4 of the 169 starting hands and A8s is number 21.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JJ27,897,000156,00013,043,000
A8s13,043,000156,00027,897,000

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 A8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JJ2.1321.4733.1510.469
A8s0.4693.1511.4732.132

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

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) (76.56%) and weakest on monotone flops (63.49%). JJ stays ahead on all five textures.

JJ against A8s by flop texture, in percent
FlopShare of flopsJJ winsTiesA8s winsJJ equity
Rainbow, ten or higher23.86767.4590.14032.40167.529
Rainbow, nine or lower7.04276.1210.87623.00376.559
Two-tone46.54566.1610.28533.55466.303
Monotone5.21262.3012.38335.31663.492
Paired17.33471.4230.15628.42171.501

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

A random hand would give JJ 77.47% and A8s 61.94%. Against each other the change is -9.40 points for JJ and -30.01 for A8s.

JJ and A8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JJ, all flops68.07277.469-9.3970.87870
JJ, rainbow, ten or higher67.52977.469-9.9400.87169
JJ, rainbow, nine or lower76.55977.469-0.9100.98825
JJ, two-tone66.30377.469-11.1660.85586
JJ, monotone63.49277.469-13.9770.81958
JJ, paired71.50177.469-5.9680.92296
A8s, all flops31.92861.944-30.0160.51543
A8s, rainbow, ten or higher32.47161.944-29.4730.52420
A8s, rainbow, nine or lower23.44161.944-38.5030.37842
A8s, two-tone33.69761.944-28.2470.54399
A8s, monotone36.50861.944-25.4360.58937
A8s, paired28.49961.944-33.4450.46008

Does a shared suit matter?

When the hands share a suit, JJ holds 68.36%; when they do not, it holds 67.79%. JJ does better with a shared suit, by 0.57 points.

JJ against A8s by suit overlap, in percent
DealsSpecific dealsShare of dealsJJ winsTiesA8s winsJJ equity
Share a suit1250.0068.1470.42031.43368.357
No shared suit1250.0067.6190.33732.04467.788

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 24 are JJ in one seat and A8s in the other (0.0015%); with the seats swapped too, 48 (0.0030%).

A worked example

With $100 from each side, the $200 pot is split on average as $136.14 for JJ and $63.86 for A8s; the first side gains $36.14 per all-in and the second gives up $36.14.

Run 1,000 deals and the tally comes out near 679 for JJ, 317 for A8s and 4 ties.

The same matchup from the other side

If you came looking for A8s against JJ, the numbers are the same with the hands swapped: 31.93% and 68.07%.

The calculator link fills in JsJh against Ad8d, 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

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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