T8s vs 64s: preflop equity

Over all 1,712,304 boards that can follow this deal, T8s finishes with 63.77% of the pot and 64s with 36.23%.

T8s

63.77%

Wins 62.84%, ties 1.84%

64s

36.23%

Wins 35.32%, ties 1.84%

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

T8s against 64s: the numbers

Exact preflop results for T8s against 64s, in percent
HandWinsTiesLosesEquity
T8s62.8441.84435.31263.766
64s35.3121.84462.84436.234

Each side holds one of the suited hands: T8s and 64s. 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. Split pots make up 1.84% of the boards, and both equity figures count them as half a win each.

Place 73 of 169 belongs to T8s and place 138 belongs to 64s in the ranking against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
T8s17,217,000505,0009,674,000
64s9,674,000505,00017,217,000

The board total is exact, 16 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

T8s against 64s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
T8s1.7601.5912.8320.568
64s0.5682.8321.5911.760

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

Across the five flop textures T8s' equity moves by 17.78 points, from 49.98% on low rainbow flops (nine high or lower) to 67.76% on rainbow flops topped by a ten or better. On low rainbow flops (nine high or lower) the numbers flip and 64s is the one ahead.

T8s against 64s by flop texture, in percent
FlopShare of flopsT8s winsTies64s winsT8s equity
Rainbow, ten or higher25.22067.1421.23431.62467.759
Rainbow, nine or lower5.68949.7560.44249.80249.977
Two-tone46.72762.8840.98936.12763.379
Monotone5.27358.9853.93837.07760.954
Paired17.09161.9424.90233.15664.393

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 T8s 52.33% and 64s 41.33%. Against each other the change is +11.44 points for T8s and -5.10 for 64s.

T8s and 64s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
T8s, all flops63.76652.334+11.4321.21844
T8s, rainbow, ten or higher67.75952.334+15.4251.29474
T8s, rainbow, nine or lower49.97752.334-2.3570.95496
T8s, two-tone63.37952.334+11.0451.21105
T8s, monotone60.95452.334+8.6201.16471
T8s, paired64.39352.334+12.0591.23042
64s, all flops36.23441.333-5.0990.87664
64s, rainbow, ten or higher32.24141.333-9.0920.78003
64s, rainbow, nine or lower50.02341.333+8.6901.21024
64s, two-tone36.62141.333-4.7120.88600
64s, monotone39.04641.333-2.2870.94467
64s, paired35.60741.333-5.7260.86147

Does a shared suit matter?

When the hands share a suit, T8s holds 66.21%; when they do not, it holds 62.95%. T8s does better with a shared suit, by 3.26 points.

T8s against 64s by suit overlap, in percent
DealsSpecific dealsShare of dealsT8s winsTies64s winsT8s equity
Share a suit425.0065.2091.99732.79466.208
No shared suit1275.0062.0561.79336.15162.953

How often this matchup comes up

Counting specific cards, T8s against 64s 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

Say each player puts $100 in before the flop, making a $200 pot. On average T8s takes back $127.54 of it, which is $27.54 more than it put in, and 64s takes back $72.46, $27.54 less than it put in.

Think in thousands: about 629 of 1,000 go to T8s, about 353 go to 64s, and about 18 are chopped.

The same matchup from the other side

The reversed view, 64s against T8s, shows 36.23% for 64s and 63.77% for T8s. It is the same count, so it redirects here.

Try Ts8s against 6h4h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.

How this was computed

Each figure is a complete count over boards. Take the 16 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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