J9s vs 98s: preflop equity

Averaged over every possible board, J9s is ahead of 98s by 37.36 points of equity, 68.68% to 31.32%.

J9s

68.68%

Wins 66.09%, ties 5.19%

98s

31.32%

Wins 28.72%, ties 5.19%

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

J9s against 98s: the numbers

Exact preflop results for J9s against 98s, in percent
HandWinsTiesLosesEquity
J9s66.0865.19228.72268.682
98s28.7225.19266.08631.318

Here suited hands face each other, J9s on one side and 98s on the other. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

A lead of 37.36 points is large but not decisive: 98s still takes about 287 of every 1,000 deals. Ties are part of the picture: 5.19% of boards end in a split pot, and each side counts that as half a win.

For context, J9s sits at number 55 of 169 starting hands and 98s at number 83 when each is run against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
J9s13,579,0001,067,0005,902,000
98s5,902,0001,067,00013,579,000

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.

J9s against 98s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
J9s2.1931.5133.4820.456
98s0.4563.4821.5132.193

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, J9s' equity runs from 56.84% on low rainbow flops (nine high or lower) up to 73.20% on rainbow flops topped by a ten or better. J9s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

J9s against 98s by flop texture, in percent
FlopShare of flopsJ9s winsTies98s winsJ9s equity
Rainbow, ten or higher25.25470.9164.56324.52173.198
Rainbow, nine or lower5.65454.9513.77341.27656.837
Two-tone46.54365.5904.05930.35167.620
Monotone5.21559.3496.21134.44062.455
Paired17.33466.0419.30724.65270.694

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

Compared with a random opponent, this matchup shifts J9s from 55.66% by +13.02 points and 98s from 50.80% by -19.48 points.

J9s and 98s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
J9s, all flops68.68255.662+13.0201.23391
J9s, rainbow, ten or higher73.19855.662+17.5361.31504
J9s, rainbow, nine or lower56.83755.662+1.1751.02111
J9s, two-tone67.62055.662+11.9581.21483
J9s, monotone62.45555.662+6.7931.12204
J9s, paired70.69455.662+15.0321.27006
98s, all flops31.31850.801-19.4830.61648
98s, rainbow, ten or higher26.80250.801-23.9990.52759
98s, rainbow, nine or lower43.16350.801-7.6380.84965
98s, two-tone32.38050.801-18.4210.63739
98s, monotone37.54550.801-13.2560.73906
98s, paired29.30650.801-21.4950.57688

Does a shared suit matter?

There is no shared-suit case for this pair, since the cards they would need are already in the other hand. Every deal is a no-shared-suit deal.

J9s against 98s by suit overlap, in percent
DealsSpecific dealsShare of dealsJ9s winsTies98s winsJ9s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0066.0865.19228.72268.682

How often this matchup comes up

The class pair covers 12 combinations of specific cards in a fixed seat order, 0.0007% of 1,624,350, and 24 (0.0015%) in either order.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, J9s' average share is $137.36 (a gain of $37.36) and 98s' is $62.64 (a loss of $37.36).

Scaled to 1,000 deals, that is roughly 661 wins for J9s, 287 for 98s and 52 chopped pots.

The same matchup from the other side

The mirror image, 98s against J9s, is 31.32% to 68.68%, and its address redirects to this page.

The calculator link fills in Js9s against 9h8h, 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

Each figure is a complete count over boards. Take the 12 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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