T8s vs 97s: preflop equity

Counting every board, the equity split is 62.32% for T8s and 37.68% for 97s, so T8s leads by 24.64 points.

T8s

62.32%

Wins 61.38%, ties 1.87%

97s

37.68%

Wins 36.75%, ties 1.87%

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

T8s against 97s: the numbers

Exact preflop results for T8s against 97s, in percent
HandWinsTiesLosesEquity
T8s61.3821.86736.75162.315
97s36.7511.86761.38237.685

T8s meets 97s, and both are suited hands. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

T8s is ahead, but 97s is far from dead: it takes 367 of every 1,000 deals outright. 1.87% of boards are ties, so the equity of each hand is its win rate plus half of that.

Among the 169 starting hands, T8s is number 73 and 97s is number 94 by strength against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
T8s16,817,000511,00010,069,000
97s10,069,000511,00016,817,000

Exact total: 16 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.

T8s against 97s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
T8s1.6541.6292.7210.605
97s0.6052.7211.6291.654

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

Across the five flop textures T8s' equity moves by 18.40 points, from 47.88% on low rainbow flops (nine high or lower) to 66.28% on rainbow flops topped by a ten or better. The overall edge for T8s hides low rainbow flops (nine high or lower), where 97s comes out in front.

T8s against 97s by flop texture, in percent
FlopShare of flopsT8s winsTies97s winsT8s equity
Rainbow, ten or higher25.22065.6281.29533.07766.275
Rainbow, nine or lower5.68947.7760.20252.02247.877
Two-tone46.72761.2850.99037.72561.780
Monotone5.27357.3733.88938.73859.317
Paired17.09161.1485.03833.81463.667

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

Compared with a random opponent, this matchup shifts T8s from 52.33% by +9.99 points and 97s from 49.12% by -11.44 points.

T8s and 97s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
T8s, all flops62.31552.334+9.9811.19072
T8s, rainbow, ten or higher66.27552.334+13.9411.26639
T8s, rainbow, nine or lower47.87752.334-4.4570.91484
T8s, two-tone61.78052.334+9.4461.18049
T8s, monotone59.31752.334+6.9831.13343
T8s, paired63.66752.334+11.3331.21655
97s, all flops37.68549.118-11.4330.76723
97s, rainbow, ten or higher33.72549.118-15.3930.68661
97s, rainbow, nine or lower52.12349.118+3.0051.06118
97s, two-tone38.22049.118-10.8980.77813
97s, monotone40.68349.118-8.4350.82827
97s, paired36.33349.118-12.7850.73971

Does a shared suit matter?

Of the deals of this matchup, 4 share a suit (T8s at 64.73%) and 12 do not (61.51%). T8s does better with a shared suit, by 3.22 points.

T8s against 97s by suit overlap, in percent
DealsSpecific dealsShare of dealsT8s winsTies97s winsT8s equity
Share a suit425.0063.7202.01834.26264.729
No shared suit1275.0060.6031.81637.58161.511

How often this matchup comes up

This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. T8s averages $124.64 from the $200, up $24.64; 97s averages $75.36, down $24.64.

Scaled to 1,000 deals, that is roughly 614 wins for T8s, 367 for 97s and 19 chopped pots.

The same matchup from the other side

97s versus T8s is this same page seen from the other hand: 37.68% for 97s, 62.32% for T8s.

Ts8s against 9h7h 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 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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