T8s vs 76s: preflop equity

Before any board card is dealt, T8s holds 63.29% equity against 76s, which leaves 76s with 36.71%.

T8s

63.29%

Wins 62.39%, ties 1.81%

76s

36.71%

Wins 35.80%, ties 1.81%

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

T8s against 76s: the numbers

Exact preflop results for T8s against 76s, in percent
HandWinsTiesLosesEquity
T8s62.3851.80735.80863.288
76s35.8081.80762.38536.712

Both hands are suited hands: T8s and 76s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are part of the picture: 1.81% of boards end in a split pot, and each side counts that as half a win.

For context, T8s sits at number 73 of 169 starting hands and 76s at number 115 when each is run against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
T8s17,092,000495,0009,810,000
76s9,810,000495,00017,092,000

The total is exact: 16 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

T8s against 76s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
T8s1.7241.6032.7930.580
76s0.5802.7931.6031.724

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

The flop changes the picture. T8s does best on rainbow flops topped by a ten or better, at 67.51%, and worst on low rainbow flops (nine high or lower), at 48.22%. Low rainbow flops (nine high or lower) favor 76s, the hand that is behind overall.

T8s against 76s by flop texture, in percent
FlopShare of flopsT8s winsTies76s winsT8s equity
Rainbow, ten or higher25.22066.8941.22431.88267.506
Rainbow, nine or lower5.68948.1130.21751.67048.222
Two-tone46.72762.3970.94436.65962.869
Monotone5.27358.5303.87337.59760.467
Paired17.09161.6374.91733.44664.095

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 T8s from 52.33% by +10.96 points and 76s from 45.37% by -8.66 points.

T8s and 76s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
T8s, all flops63.28852.334+10.9541.20931
T8s, rainbow, ten or higher67.50652.334+15.1721.28991
T8s, rainbow, nine or lower48.22252.334-4.1120.92143
T8s, two-tone62.86952.334+10.5351.20130
T8s, monotone60.46752.334+8.1331.15541
T8s, paired64.09552.334+11.7611.22473
76s, all flops36.71245.372-8.6600.80913
76s, rainbow, ten or higher32.49445.372-12.8780.71617
76s, rainbow, nine or lower51.77845.372+6.4061.14119
76s, two-tone37.13145.372-8.2410.81837
76s, monotone39.53345.372-5.8390.87131
76s, paired35.90545.372-9.4670.79135

Does a shared suit matter?

When the hands share a suit, T8s holds 65.72%; when they do not, it holds 62.48%. T8s does better with a shared suit, by 3.24 points.

T8s against 76s by suit overlap, in percent
DealsSpecific dealsShare of dealsT8s winsTies76s winsT8s equity
Share a suit425.0064.7441.95533.30165.722
No shared suit1275.0061.5991.75736.64462.477

How often this matchup comes up

Counting specific cards, T8s against 76s appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).

A worked example

With $100 from each side, the $200 pot is split on average as $126.58 for T8s and $73.42 for 76s; the first side gains $26.58 per all-in and the second gives up $26.58.

Out of 1,000 deals you should see around 624 outright wins for T8s, 358 for 76s, and 18 split pots.

The same matchup from the other side

The mirror image, 76s against T8s, is 36.71% to 63.29%, and its address redirects to this page.

Open the calculator with Ts8s against 7h6h 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

We counted every case. Each suit pattern of the 16 specific T8s against 76s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

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