TT vs 98s: preflop equity

Dealt all in against each other, TT takes 81.70% of the pot on average and 98s takes the other 18.30%.

TT

81.70%

Wins 81.46%, ties 0.47%

98s

18.30%

Wins 18.07%, ties 0.47%

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

TT against 98s: the numbers

Exact preflop results for TT against 98s, in percent
HandWinsTiesLosesEquity
TT81.4630.46918.06881.698
98s18.0680.46981.46318.302

TT is a pocket pair and 98s is a suited hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.

This is one of the lopsided matchups: 98s wins only 18.07% of the boards outright. 0.47% of boards are ties, so the equity of each hand is its win rate plus half of that.

TT ranks number 5 of 169 starting hands, and 98s ranks number 83, by equity against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
TT33,477,000193,0007,425,000
98s7,425,000193,00033,477,000

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.

TT against 98s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
TT4.4641.2285.5350.224
98s0.2245.5351.2284.464

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

If you know the kind of flop that came, the numbers shift: TT holds 85.69% on rainbow flops topped by a ten or better and 75.37% on low rainbow flops (nine high or lower). TT stays ahead on all five textures.

TT against 98s by flop texture, in percent
FlopShare of flopsTT winsTies98s winsTT equity
Rainbow, ten or higher24.59585.5640.25114.18585.689
Rainbow, nine or lower6.31475.1070.52024.37375.367
Two-tone46.54579.7340.28519.98179.876
Monotone5.21274.3682.39023.24275.563
Paired17.33484.7380.67414.58885.075

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

Each hand has a baseline against a random hand: 75.01% for TT, 50.80% for 98s. Here the change is +6.69 and -32.50 points.

TT and 98s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
TT, all flops81.69875.012+6.6861.08913
TT, rainbow, ten or higher85.68975.012+10.6771.14234
TT, rainbow, nine or lower75.36775.012+0.3551.00473
TT, two-tone79.87675.012+4.8641.06484
TT, monotone75.56375.012+0.5511.00735
TT, paired85.07575.012+10.0631.13415
98s, all flops18.30250.801-32.4990.36027
98s, rainbow, ten or higher14.31150.801-36.4900.28171
98s, rainbow, nine or lower24.63350.801-26.1680.48489
98s, two-tone20.12450.801-30.6770.39613
98s, monotone24.43750.801-26.3640.48103
98s, paired14.92550.801-35.8760.29379

Does a shared suit matter?

Looking only at deals where the hands share a suit, TT has 82.25%; looking only at deals where they do not, 81.14%. TT does better with a shared suit, by 1.11 points.

TT against 98s by suit overlap, in percent
DealsSpecific dealsShare of dealsTT winsTies98s winsTT equity
Share a suit1250.0081.9990.51017.49182.254
No shared suit1250.0080.9270.42718.64681.141

How often this matchup comes up

Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says TT gets $163.40 of it on average and 98s gets $36.60.

Per 1,000 deals: TT wins about 814, 98s wins about 181, and about 5 end in a split pot.

The same matchup from the other side

One page covers both views. From 98s' side the equity is 18.30%, and from TT's side it is 81.70%.

Open the calculator with TsTh 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 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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