TT vs T8s: preflop equity

Averaged over every possible board, TT is ahead of T8s by 67.24 points of equity, 83.62% to 16.38%.

TT

83.62%

Wins 82.21%, ties 2.81%

T8s

16.38%

Wins 14.98%, ties 2.81%

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

TT against T8s: the numbers

Exact preflop results for TT against T8s, in percent
HandWinsTiesLosesEquity
TT82.2122.80714.98183.616
T8s14.9812.80782.21216.384

Here a pocket pair (TT) meets a suited hand (T8s). The non-pair hand shares a rank with the pair, so two of its outs for pairing are blocked by the pair itself.

That is a heavy lead: T8s needs the board to help it on most runouts and still falls behind far more often than not. Ties are part of the picture: 2.81% of boards end in a split pot, and each side counts that as half a win.

Among the 169 starting hands, TT is number 5 and T8s is number 73 by strength against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
TT16,893,000577,0003,078,000
T8s3,078,000577,00016,893,000

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.

TT against T8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
TT5.1041.2166.6750.196
T8s0.1966.6751.2165.104

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 87.55% on rainbow flops topped by a ten or better and 74.79% on monotone flops. TT stays ahead on all five textures.

TT against T8s by flop texture, in percent
FlopShare of flopsTT winsTiesT8s winsTT equity
Rainbow, ten or higher23.74086.0612.97710.96287.549
Rainbow, nine or lower7.04282.0962.82515.07983.509
Two-tone46.23680.7142.69316.59382.060
Monotone5.15173.1433.29223.56574.789
Paired17.83183.6382.73113.63185.003

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

The table below sets each hand against its own random-hand baseline: a change of +8.61 points for TT, from 75.01%, and -35.95 for T8s, from 52.33%.

TT and T8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
TT, all flops83.61675.012+8.6041.11470
TT, rainbow, ten or higher87.54975.012+12.5371.16713
TT, rainbow, nine or lower83.50975.012+8.4971.11328
TT, two-tone82.06075.012+7.0481.09396
TT, monotone74.78975.012-0.2230.99703
TT, paired85.00375.012+9.9911.13319
T8s, all flops16.38452.334-35.9500.31307
T8s, rainbow, ten or higher12.45152.334-39.8830.23791
T8s, rainbow, nine or lower16.49152.334-35.8430.31511
T8s, two-tone17.94052.334-34.3940.34280
T8s, monotone25.21152.334-27.1230.48173
T8s, paired14.99752.334-37.3370.28656

Does a shared suit matter?

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

TT against T8s by suit overlap, in percent
DealsSpecific dealsShare of dealsTT winsTiesT8s winsTT equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0082.2122.80714.98183.616

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

Worked example: both players commit $100, so $200 sits in the middle. Over every board, TT's average share is $167.24 (a gain of $67.24) and T8s' is $32.76 (a loss of $67.24).

Over a long run, 1,000 deals split into about 822 for TT, 150 for T8s and 28 tied.

The same matchup from the other side

Swap the hands and you get T8s with 16.38% against TT with 83.62%. We keep one page per matchup, with the better-ranked hand first.

The calculator link fills in TsTh against Td8d, 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

Each figure is a complete count over boards. Take the 12 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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