99 vs 98s: preflop equity

The exact count puts 99 at 82.17% and 98s at 17.83% when the two hands see all five board cards.

99

82.17%

Wins 80.68%, ties 2.99%

98s

17.83%

Wins 16.33%, ties 2.99%

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

99 against 98s: the numbers

Exact preflop results for 99 against 98s, in percent
HandWinsTiesLosesEquity
9980.6772.98516.33882.170
98s16.3382.98580.67717.830

The first hand is a pocket pair; the second is a suited hand. One hand holds a card of the same rank as the pair, which removes a card the pair needs and makes the pair a bigger favorite.

This is one of the lopsided matchups: 98s wins only 16.33% of the boards outright. Split pots make up 2.99% of the boards, and both equity figures count them as half a win each.

For context, 99 sits at number 6 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
9916,577,000613,0003,357,000
98s3,357,000613,00016,577,000

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.

99 against 98s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
994.6091.2406.1210.217
98s0.2176.1211.2404.609

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

99 prefers rainbow flops topped by a ten or better, where it holds 85.31%, and likes monotone flops least, where it holds 73.84%. 99 stays ahead on all five textures.

99 against 98s by flop texture, in percent
FlopShare of flops99 winsTies98s wins99 equity
Rainbow, ten or higher25.78683.9002.81813.28285.309
Rainbow, nine or lower4.99581.9883.40414.60883.690
Two-tone46.23679.2852.69018.02580.630
Monotone5.15272.1673.34124.49273.838
Paired17.83181.7183.77314.50983.605

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

Relative to a random opponent, 99 changes by +10.11 points (baseline 72.06%) and 98s by -32.97 points (baseline 50.80%).

99 and 98s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops82.17072.057+10.1131.14035
99, rainbow, ten or higher85.30972.057+13.2521.18391
99, rainbow, nine or lower83.69072.057+11.6331.16144
99, two-tone80.63072.057+8.5731.11898
99, monotone73.83872.057+1.7811.02472
99, paired83.60572.057+11.5481.16026
98s, all flops17.83050.801-32.9710.35098
98s, rainbow, ten or higher14.69150.801-36.1100.28919
98s, rainbow, nine or lower16.31050.801-34.4910.32106
98s, two-tone19.37050.801-31.4310.38129
98s, monotone26.16250.801-24.6390.51499
98s, paired16.39550.801-34.4060.32273

Does a shared suit matter?

A shared suit is impossible for this matchup, so 99's 82.17% is the answer for every suit pattern.

99 against 98s by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTies98s wins99 equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0080.6772.98516.33882.170

How often this matchup comes up

Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.

A worked example

With $100 from each side, the $200 pot is split on average as $164.34 for 99 and $35.66 for 98s; the first side gains $64.34 per all-in and the second gives up $64.34.

Scaled to 1,000 deals, that is roughly 807 wins for 99, 163 for 98s and 30 chopped pots.

The same matchup from the other side

The reversed view, 98s against 99, shows 17.83% for 98s and 82.17% for 99. It is the same count, so it redirects here.

9s9h 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

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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