77 vs T8s: preflop equity

Dealt all in against each other, 77 takes 51.36% of the pot on average and T8s takes the other 48.64%.

77

51.36%

Wins 51.05%, ties 0.63%

T8s

48.64%

Wins 48.32%, ties 0.63%

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

77 against T8s: the numbers

Exact preflop results for 77 against T8s, in percent
HandWinsTiesLosesEquity
7751.0460.62548.32951.359
T8s48.3290.62551.04648.641

Here a pocket pair (77) meets a suited hand (T8s). One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.

This is close to even money, with 77 a little ahead. Split pots make up 0.63% of the boards, and both equity figures count them as half a win each.

In the ranking of all 169 starting hands, 77 is number 9 and T8s is number 73.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
7720,978,000257,00019,861,000
T8s19,861,000257,00020,978,000

Exact total: 24 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.

77 against T8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
771.0561.9592.0690.947
T8s0.9472.0691.9591.056

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

The flop changes the picture. 77 does best on low rainbow flops (nine high or lower), at 58.99%, and worst on two-tone flops, at 49.26%. The lead reverses on rainbow flops topped by a ten or better and two-tone flops: there T8s is the favorite even though 77 is ahead overall.

77 against T8s by flop texture, in percent
FlopShare of flops77 winsTiesT8s wins77 equity
Rainbow, ten or higher25.22049.4730.39450.13349.670
Rainbow, nine or lower5.68958.8190.35040.83158.994
Two-tone46.54549.0750.36650.55949.258
Monotone5.21249.2492.48448.26750.491
Paired17.33456.6171.19042.19357.212

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

How much does the opponent matter? Compared with its random-hand 66.24%, 77 changes by -14.88 points, and T8s, from 52.33%, by -3.69.

77 and T8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
77, all flops51.35966.236-14.8770.77539
77, rainbow, ten or higher49.67066.236-16.5660.74989
77, rainbow, nine or lower58.99466.236-7.2420.89066
77, two-tone49.25866.236-16.9780.74367
77, monotone50.49166.236-15.7450.76229
77, paired57.21266.236-9.0240.86376
T8s, all flops48.64152.334-3.6930.92943
T8s, rainbow, ten or higher50.33052.334-2.0040.96171
T8s, rainbow, nine or lower41.00652.334-11.3280.78354
T8s, two-tone50.74252.334-1.5920.96958
T8s, monotone49.50952.334-2.8250.94602
T8s, paired42.78852.334-9.5460.81759

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common 77 has 51.47% equity, and with none in common it has 51.24%. The two rows differ by only 0.23 points, so suits barely change this matchup.

77 against T8s by suit overlap, in percent
DealsSpecific dealsShare of deals77 winsTiesT8s wins77 equity
Share a suit1250.0051.1410.66548.19451.473
No shared suit1250.0050.9510.58548.46451.244

How often this matchup comes up

The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. 77 is worth $102.72 on average (+$2.72); T8s is worth $97.28 (-$2.72).

Run 1,000 deals and the tally comes out near 511 for 77, 483 for T8s and 6 ties.

The same matchup from the other side

Read it from the other side: T8s against 77 is the same matchup with the numbers swapped, so T8s holds 48.64% and 77 holds 51.36%. That address sends you back to this page.

The calculator link fills in 7s7h 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

Nothing here is simulated. The 24 deals of 77 against T8s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

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

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