T9s vs 97s: preflop equity

If T9s and 97s get all the chips in before the flop, T9s owns 69.41% of the pot in the long run and 97s owns 30.59%.

T9s

69.41%

Wins 66.11%, ties 6.61%

97s

30.59%

Wins 27.28%, ties 6.61%

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

T9s against 97s: the numbers

Exact preflop results for T9s against 97s, in percent
HandWinsTiesLosesEquity
T9s66.1096.60827.28369.413
97s27.2836.60866.10930.587

Two suited hands meet here: T9s against 97s. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.

T9s is well ahead, and 97s needs a specific kind of board to catch up. Of every 100 boards, about 6.61 are split pots, and the equity figures already include them.

The hand ranking puts T9s at 64 and 97s at 94 out of 169 starting hands.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
T9s13,584,0001,358,0005,606,000
97s5,606,0001,358,00013,584,000

Exact total: 12 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

T9s against 97s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
T9s2.2691.5133.6650.441
97s0.4413.6651.5132.269

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

By flop texture, T9s' equity runs from 59.66% on low rainbow flops (nine high or lower) up to 73.86% on rainbow flops topped by a ten or better. T9s stays ahead on all five textures.

T9s against 97s by flop texture, in percent
FlopShare of flopsT9s winsTies97s winsT9s equity
Rainbow, ten or higher25.25470.7336.25423.01373.860
Rainbow, nine or lower5.65458.1662.99238.84259.662
Two-tone46.54365.8875.20828.90568.491
Monotone5.21559.4097.15233.43962.985
Paired17.33464.57611.89923.52570.525

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

Compared with a random opponent, this matchup shifts T9s from 54.03% by +15.38 points and 97s from 49.12% by -18.53 points.

T9s and 97s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
T9s, all flops69.41354.028+15.3851.28476
T9s, rainbow, ten or higher73.86054.028+19.8321.36707
T9s, rainbow, nine or lower59.66254.028+5.6341.10428
T9s, two-tone68.49154.028+14.4631.26769
T9s, monotone62.98554.028+8.9571.16578
T9s, paired70.52554.028+16.4971.30534
97s, all flops30.58749.118-18.5310.62272
97s, rainbow, ten or higher26.14049.118-22.9780.53219
97s, rainbow, nine or lower40.33849.118-8.7800.82125
97s, two-tone31.50949.118-17.6090.64150
97s, monotone37.01549.118-12.1030.75359
97s, paired29.47549.118-19.6430.60009

Does a shared suit matter?

A shared suit is impossible for this matchup, so T9s' 69.41% is the answer for every suit pattern.

T9s against 97s by suit overlap, in percent
DealsSpecific dealsShare of dealsT9s winsTies97s winsT9s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0066.1096.60827.28369.413

How often this matchup comes up

Counting specific cards, T9s against 97s appears in 12 of the 1,624,350 ordered heads-up deals (0.0007%), and in 24 when the seats are swapped too (0.0015%).

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. T9s is worth $138.82 on average (+$38.82); 97s is worth $61.18 (-$38.82).

Per 1,000 deals: T9s wins about 661, 97s wins about 273, and about 66 end in a split pot.

The same matchup from the other side

97s against T9s adds nothing new: it is 30.59% for 97s and 69.41% for T9s, the same figures reversed.

Open the calculator with Ts9s against 9h7h 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 12 specific deals of T9s against 97s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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