TT vs 97s: preflop equity

Over all 1,712,304 boards that can follow this deal, TT finishes with 81.79% of the pot and 97s with 18.21%.

TT

81.79%

Wins 81.56%, ties 0.46%

97s

18.21%

Wins 17.98%, ties 0.46%

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

TT against 97s: the numbers

Exact preflop results for TT against 97s, in percent
HandWinsTiesLosesEquity
TT81.5600.46217.97881.791
97s17.9780.46281.56018.209

TT, a pocket pair, plays 97s, 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.

TT is a big favorite here before anyone sees a flop. Ties are part of the picture: 0.46% of boards end in a split pot, and each side counts that as half a win.

In the ranking of all 169 starting hands, TT is number 5 and 97s is number 94.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
TT33,517,000190,0007,388,000
97s7,388,000190,00033,517,000

The total is exact: 24 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.

TT against 97s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
TT4.4921.2265.5620.223
97s0.2235.5621.2264.492

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

Split by what the flop looks like, TT peaks at 86.28% on rainbow flops topped by a ten or better and bottoms out at 73.75% on low rainbow flops (nine high or lower). TT stays ahead on all five textures.

TT against 97s by flop texture, in percent
FlopShare of flopsTT winsTies97s winsTT equity
Rainbow, ten or higher24.59586.1480.26013.59286.278
Rainbow, nine or lower6.31473.5330.44126.02673.753
Two-tone46.54579.8670.27819.85580.006
Monotone5.21274.5292.38723.08475.722
Paired17.33484.6370.67414.68984.974

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

Compared with a random opponent, this matchup shifts TT from 75.01% by +6.78 points and 97s from 49.12% by -30.91 points.

TT and 97s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
TT, all flops81.79175.012+6.7791.09037
TT, rainbow, ten or higher86.27875.012+11.2661.15019
TT, rainbow, nine or lower73.75375.012-1.2590.98322
TT, two-tone80.00675.012+4.9941.06658
TT, monotone75.72275.012+0.7101.00947
TT, paired84.97475.012+9.9621.13281
97s, all flops18.20949.118-30.9090.37072
97s, rainbow, ten or higher13.72249.118-35.3960.27937
97s, rainbow, nine or lower26.24749.118-22.8710.53437
97s, two-tone19.99449.118-29.1240.40706
97s, monotone24.27849.118-24.8400.49428
97s, paired15.02649.118-34.0920.30592

Does a shared suit matter?

When the hands share a suit, TT holds 82.37%; when they do not, it holds 81.22%. TT does better with a shared suit, by 1.15 points.

TT against 97s by suit overlap, in percent
DealsSpecific dealsShare of dealsTT winsTies97s winsTT equity
Share a suit1250.0082.1130.50517.38282.366
No shared suit1250.0081.0070.42018.57381.217

How often this matchup comes up

How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are TT against 97s, and 48 (0.0030%) if either hand may sit in either seat.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average TT takes back $163.58 of it, which is $63.58 more than it put in, and 97s takes back $36.42, $63.58 less than it put in.

Out of 1,000 deals you should see around 815 outright wins for TT, 180 for 97s, and 5 split pots.

The same matchup from the other side

The reversed view, 97s against TT, shows 18.21% for 97s and 81.79% for TT. It is the same count, so it redirects here.

The calculator link fills in TsTh against 9d7d, 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

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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