88 vs 98s: preflop equity

Averaged over every possible board, 88 is ahead of 98s by 22.00 points of equity, 61.00% to 39.00%.

88

61.00%

Wins 59.95%, ties 2.10%

98s

39.00%

Wins 37.95%, ties 2.10%

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

88 against 98s: the numbers

Exact preflop results for 88 against 98s, in percent
HandWinsTiesLosesEquity
8859.9452.10137.95460.995
98s37.9542.10159.94539.005

The matchup pits a pocket pair against a suited hand. The pair already holds one of the other hand's ranks, and that overlap cuts down the cards the other hand can pair with.

A 22.00 point lead is real, and 98s still takes about 380 of every 1,000 deals outright. Ties are 2.10% of the outcomes here; each tied board gives both hands half the pot.

By strength against a random hand, 88 holds place 7 of 169 and 98s holds place 83.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
8812,317,000432,0007,799,000
98s7,799,000432,00012,317,000

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.

88 against 98s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
881.5641.6682.6350.639
98s0.6392.6351.6681.564

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

Across the five flop textures 88's equity moves by 14.45 points, from 52.83% on low rainbow flops (nine high or lower) to 67.28% on paired flops. 88 stays ahead on all five textures.

88 against 98s by flop texture, in percent
FlopShare of flops88 winsTies98s wins88 equity
Rainbow, ten or higher25.78662.1451.92935.92663.110
Rainbow, nine or lower4.99551.1283.40445.46852.830
Two-tone46.23657.5832.01040.40758.588
Monotone5.15256.7592.88140.36058.199
Paired17.83166.2781.99631.72667.276

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 88 69.16% and 98s 50.80%. Against each other the change is -8.16 points for 88 and -11.80 for 98s.

88 and 98s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
88, all flops60.99569.163-8.1680.88190
88, rainbow, ten or higher63.11069.163-6.0530.91248
88, rainbow, nine or lower52.83069.163-16.3330.76385
88, two-tone58.58869.163-10.5750.84710
88, monotone58.19969.163-10.9640.84148
88, paired67.27669.163-1.8870.97272
98s, all flops39.00550.801-11.7960.76780
98s, rainbow, ten or higher36.89050.801-13.9110.72617
98s, rainbow, nine or lower47.17050.801-3.6310.92853
98s, two-tone41.41250.801-9.3890.81518
98s, monotone41.80150.801-9.0000.82284
98s, paired32.72450.801-18.0770.64416

Does a shared suit matter?

A shared suit is impossible for this matchup, so 88's 61.00% is the answer for every suit pattern.

88 against 98s by suit overlap, in percent
DealsSpecific dealsShare of deals88 winsTies98s wins88 equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0059.9452.10137.95460.995

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

A $100 all-in from each player makes a $200 pot, and the exact equity says 88 gets $122.00 of it on average and 98s gets $78.00.

Scaled to 1,000 deals, that is roughly 599 wins for 88, 380 for 98s and 21 chopped pots.

The same matchup from the other side

One page covers both views. From 98s' side the equity is 39.00%, and from 88's side it is 61.00%.

8s8h against 9d8d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

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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