JJ vs J9s: preflop equity

Averaged over every possible board, JJ is ahead of J9s by 67.88 points of equity, 83.94% to 16.06%.

JJ

83.94%

Wins 82.86%, ties 2.16%

J9s

16.06%

Wins 14.98%, ties 2.16%

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

JJ against J9s: the numbers

Exact preflop results for JJ against J9s, in percent
HandWinsTiesLosesEquity
JJ82.8612.15814.98183.940
J9s14.9812.15882.86116.060

JJ and J9s are a pocket pair and a suited hand, in that order. The non-pair hand shares a rank with the pair, so two of its outs for pairing are blocked by the pair itself.

A gap this wide means J9s is in trouble before the flop and has few good runouts. 2.16% of boards are ties, so the equity of each hand is its win rate plus half of that.

Place 4 of 169 belongs to JJ and place 55 belongs to J9s in the ranking against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JJ17,026,000443,0003,078,000
J9s3,078,000443,00017,026,000

The total is exact: 12 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 J9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JJ5.2271.2076.6750.191
J9s0.1916.6751.2075.227

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

Low rainbow flops (nine high or lower) are the best for JJ (88.97%); monotone flops are the worst (74.98%). JJ stays ahead on all five textures.

JJ against J9s by flop texture, in percent
FlopShare of flopsJJ winsTiesJ9s winsJJ equity
Rainbow, ten or higher23.74085.0642.52612.41086.327
Rainbow, nine or lower7.04288.1331.66910.19888.968
Two-tone46.23681.2712.13616.59382.339
Monotone5.15173.5172.91923.56474.977
Paired17.83184.6671.69813.63585.516

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 +6.47 points (baseline 77.47%) and J9s by -39.60 points (baseline 55.66%).

JJ and J9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JJ, all flops83.94077.469+6.4711.08353
JJ, rainbow, ten or higher86.32777.469+8.8581.11434
JJ, rainbow, nine or lower88.96877.469+11.4991.14843
JJ, two-tone82.33977.469+4.8701.06286
JJ, monotone74.97777.469-2.4920.96783
JJ, paired85.51677.469+8.0471.10387
J9s, all flops16.06055.662-39.6020.28853
J9s, rainbow, ten or higher13.67355.662-41.9890.24564
J9s, rainbow, nine or lower11.03255.662-44.6300.19820
J9s, two-tone17.66155.662-38.0010.31729
J9s, monotone25.02355.662-30.6390.44955
J9s, paired14.48455.662-41.1780.26021

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 J9s by suit overlap, in percent
DealsSpecific dealsShare of dealsJJ winsTiesJ9s winsJJ equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0082.8612.15814.98183.940

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 12 are JJ in one seat and J9s in the other (0.0007%); with the seats swapped too, 24 (0.0015%).

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. JJ is worth $167.88 on average (+$67.88); J9s is worth $32.12 (-$67.88).

Over a long run, 1,000 deals split into about 829 for JJ, 150 for J9s and 21 tied.

The same matchup from the other side

J9s against JJ adds nothing new: it is 16.06% for J9s and 83.94% for JJ, the same figures reversed.

Try JsJh against Jd9d 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 12 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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