T9s vs T8s: preflop equity

If T9s and T8s get all the chips in before the flop, T9s owns 67.01% of the pot in the long run and T8s owns 32.99%.

T9s

67.01%

Wins 60.01%, ties 13.99%

T8s

32.99%

Wins 26.00%, ties 13.99%

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

T9s against T8s: the numbers

Exact preflop results for T9s against T8s, in percent
HandWinsTiesLosesEquity
T9s60.01113.99425.99567.008
T8s25.99513.99460.01132.992

The matchup is suited hands on both sides, T9s against T8s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

A lead of 34.02 points is large but not decisive: T8s still takes about 260 of every 1,000 deals. Ties are 13.99% of the outcomes here; each tied board gives both hands half the pot.

Place 64 of 169 belongs to T9s and place 73 belongs to T8s in the ranking against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
T9s12,331,0002,875,0005,341,000
T8s5,341,0002,875,00012,331,000

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.

T9s against T8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
T9s2.0311.6663.8470.492
T8s0.4923.8471.6662.031

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 62.12% on monotone flops up to 70.35% on rainbow flops topped by a ten or better. T9s stays ahead on all five textures.

T9s against T8s by flop texture, in percent
FlopShare of flopsT9s winsTiesT8s winsT9s equity
Rainbow, ten or higher24.52663.41213.87422.71470.349
Rainbow, nine or lower6.38366.1983.32630.47667.861
Two-tone46.54361.94310.47827.57967.182
Monotone5.21556.85610.52232.62262.117
Paired17.33348.68528.57622.73962.973

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

A random hand would give T9s 54.03% and T8s 52.33%. Against each other the change is +12.98 points for T9s and -19.34 for T8s.

T9s and T8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
T9s, all flops67.00854.028+12.9801.24025
T9s, rainbow, ten or higher70.34954.028+16.3211.30208
T9s, rainbow, nine or lower67.86154.028+13.8331.25603
T9s, two-tone67.18254.028+13.1541.24347
T9s, monotone62.11754.028+8.0891.14972
T9s, paired62.97354.028+8.9451.16556
T8s, all flops32.99252.334-19.3420.63041
T8s, rainbow, ten or higher29.65152.334-22.6830.56657
T8s, rainbow, nine or lower32.13952.334-20.1950.61411
T8s, two-tone32.81852.334-19.5160.62709
T8s, monotone37.88352.334-14.4510.72387
T8s, paired37.02752.334-15.3070.70751

Does a shared suit matter?

Every legal deal of T9s against T8s leaves the hands with no suit in common, so the suit split does not apply here.

T9s against T8s by suit overlap, in percent
DealsSpecific dealsShare of dealsT9s winsTiesT8s winsT9s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0060.01113.99425.99567.008

How often this matchup comes up

This page stands for 12 specific-card matchups (0.0007% of 1,624,350 ordered deals), or 24 once you count the seats both ways (0.0015%).

A worked example

Put $100 each into a $200 pot and deal every board once: T9s averages $134.02 back, ahead of its $100 by $34.02, while T8s averages $65.98, short of its $100 by $34.02.

A thousand deals look like this: T9s takes 600, T8s takes 260, 140 are ties.

The same matchup from the other side

Swap the hands and you get T8s with 32.99% against T9s with 67.01%. We keep one page per matchup, with the better-ranked hand first.

Ts9s against Th8h 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 12 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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