T8s vs 86s: preflop equity

In equity, T8s against 86s stands at 68.33% to 31.67%, a gap of 36.66 points.

T8s

68.33%

Wins 64.84%, ties 6.97%

86s

31.67%

Wins 28.19%, ties 6.97%

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

T8s against 86s: the numbers

Exact preflop results for T8s against 86s, in percent
HandWinsTiesLosesEquity
T8s64.8416.97128.18868.327
86s28.1886.97164.84131.673

T8s meets 86s, and both are suited hands. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.

T8s is well ahead, and 86s needs a specific kind of board to catch up. The tie share is 6.97%: on those boards the pot is chopped and neither hand wins outright.

Among the 169 starting hands, T8s is number 73 and 86s is number 110 by strength against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
T8s13,323,0001,432,0005,792,000
86s5,792,0001,432,00013,323,000

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.

T8s against 86s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
T8s2.1571.5423.5480.464
86s0.4643.5481.5422.157

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

Rainbow flops topped by a ten or better are the best for T8s (73.11%); low rainbow flops (nine high or lower) are the worst (55.92%). T8s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

T8s against 86s by flop texture, in percent
FlopShare of flopsT8s winsTies86s winsT8s equity
Rainbow, ten or higher25.25469.8956.42223.68373.106
Rainbow, nine or lower5.65453.7294.38041.89155.919
Two-tone46.54364.6115.55829.83167.390
Monotone5.21558.5697.41334.01862.276
Paired17.33463.60812.27924.11369.748

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

How much does the opponent matter? Compared with its random-hand 52.33%, T8s changes by +16.00 points, and 86s, from 46.24%, by -14.57.

T8s and 86s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
T8s, all flops68.32752.334+15.9931.30559
T8s, rainbow, ten or higher73.10652.334+20.7721.39691
T8s, rainbow, nine or lower55.91952.334+3.5851.06850
T8s, two-tone67.39052.334+15.0561.28769
T8s, monotone62.27652.334+9.9421.18997
T8s, paired69.74852.334+17.4141.33275
86s, all flops31.67346.243-14.5700.68493
86s, rainbow, ten or higher26.89446.243-19.3490.58158
86s, rainbow, nine or lower44.08146.243-2.1620.95325
86s, two-tone32.61046.243-13.6330.70519
86s, monotone37.72446.243-8.5190.81578
86s, paired30.25246.243-15.9910.65420

Does a shared suit matter?

Every legal deal of T8s against 86s leaves the hands with no suit in common, so the suit split does not apply here.

T8s against 86s by suit overlap, in percent
DealsSpecific dealsShare of dealsT8s winsTies86s winsT8s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0064.8416.97128.18868.327

How often this matchup comes up

Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, T8s' average share is $136.66 (a gain of $36.66) and 86s' is $63.34 (a loss of $36.66).

Out of 1,000 deals you should see around 648 outright wins for T8s, 282 for 86s, and 70 split pots.

The same matchup from the other side

The mirror image, 86s against T8s, is 31.67% to 68.33%, and its address redirects to this page.

Ts8s against 8h6h 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

Method: exact enumeration. The 12 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.

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

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