JJ vs 98s: preflop equity

The exact count puts JJ at 80.31% and 98s at 19.69% when the two hands see all five board cards.

JJ

80.31%

Wins 80.11%, ties 0.40%

98s

19.69%

Wins 19.49%, ties 0.40%

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

JJ against 98s: the numbers

Exact preflop results for JJ against 98s, in percent
HandWinsTiesLosesEquity
JJ80.1120.39919.48980.311
98s19.4890.39980.11219.689

JJ is a pocket pair and 98s is a suited hand. The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.

This is one of the lopsided matchups: 98s wins only 19.49% of the boards outright. Split pots make up 0.40% of the boards, and both equity figures count them as half a win each.

For context, JJ sits at number 4 of 169 starting hands and 98s at number 83 when each is run against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JJ32,922,000164,0008,009,000
98s8,009,000164,00032,922,000

The board total is exact, 24 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 98s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JJ4.0791.2485.1310.245
98s0.2455.1311.2484.079

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

If you know the kind of flop that came, the numbers shift: JJ holds 84.19% on rainbow flops topped by a ten or better and 73.39% on low rainbow flops (nine high or lower). JJ stays ahead on all five textures.

JJ against 98s by flop texture, in percent
FlopShare of flopsJJ winsTies98s winsJJ equity
Rainbow, ten or higher24.59584.0930.19115.71684.189
Rainbow, nine or lower6.31473.0500.67426.27673.387
Two-tone46.54578.2780.27021.45278.413
Monotone5.21273.3702.37824.25274.559
Paired17.33483.9890.34315.66884.161

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

Each hand has a baseline against a random hand: 77.47% for JJ, 50.80% for 98s. Here the change is +2.84 and -31.11 points.

JJ and 98s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JJ, all flops80.31177.469+2.8421.03669
JJ, rainbow, ten or higher84.18977.469+6.7201.08674
JJ, rainbow, nine or lower73.38777.469-4.0820.94731
JJ, two-tone78.41377.469+0.9441.01219
JJ, monotone74.55977.469-2.9100.96244
JJ, paired84.16177.469+6.6921.08638
98s, all flops19.68950.801-31.1120.38757
98s, rainbow, ten or higher15.81150.801-34.9900.31123
98s, rainbow, nine or lower26.61350.801-24.1880.52387
98s, two-tone21.58750.801-29.2140.42493
98s, monotone25.44150.801-25.3600.50080
98s, paired15.83950.801-34.9620.31179

Does a shared suit matter?

The suit split reads 80.87% for JJ with a shared suit and 79.75% without one. JJ does better with a shared suit, by 1.12 points.

JJ against 98s by suit overlap, in percent
DealsSpecific dealsShare of dealsJJ winsTies98s winsJJ equity
Share a suit1250.0080.6490.44018.91180.869
No shared suit1250.0079.5750.35720.06879.754

How often this matchup comes up

Counting specific cards, JJ against 98s appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).

A worked example

Take a $200 pot built from $100 each. JJ's equity of 80.31% is worth $160.62, a $60.62 edge, and 98s' 19.69% is worth $39.38, which is $60.62 under its stake.

A thousand deals look like this: JJ takes 801, 98s takes 195, 4 are ties.

The same matchup from the other side

98s versus JJ is this same page seen from the other hand: 19.69% for 98s, 80.31% for JJ.

Open the calculator with JsJh against 9d8d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

This is an exact count with no sampling. For the 24 ways to deal one JJ and one 98s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

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