T8s vs 75s: preflop equity

Averaged over every possible board, T8s is ahead of 75s by 28.34 points of equity, 64.17% to 35.83%.

T8s

64.17%

Wins 63.24%, ties 1.85%

75s

35.83%

Wins 34.91%, ties 1.85%

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

T8s against 75s: the numbers

Exact preflop results for T8s against 75s, in percent
HandWinsTiesLosesEquity
T8s63.2441.85134.90564.169
75s34.9051.85163.24435.831

Both hands are suited hands: T8s and 75s. 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 1.85% of the outcomes here; each tied board gives both hands half the pot.

T8s ranks number 73 of 169 starting hands, and 75s ranks number 124, by equity against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
T8s17,327,000507,0009,563,000
75s9,563,000507,00017,327,000

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 75s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
T8s1.7911.5812.8650.558
75s0.5582.8651.5811.791

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

If you know the kind of flop that came, the numbers shift: T8s holds 68.24% on rainbow flops topped by a ten or better and 50.28% on low rainbow flops (nine high or lower). 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 75s by flop texture, in percent
FlopShare of flopsT8s winsTies75s winsT8s equity
Rainbow, ten or higher25.22067.6101.26731.12368.244
Rainbow, nine or lower5.68950.1110.34549.54450.283
Two-tone46.72763.2710.99535.73463.769
Monotone5.27359.2523.91236.83661.208
Paired17.09162.3274.92032.75364.787

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

A random hand would give T8s 52.33% and 75s 43.68%. Against each other the change is +11.84 points for T8s and -7.85 for 75s.

T8s and 75s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
T8s, all flops64.16952.334+11.8351.22614
T8s, rainbow, ten or higher68.24452.334+15.9101.30401
T8s, rainbow, nine or lower50.28352.334-2.0510.96081
T8s, two-tone63.76952.334+11.4351.21850
T8s, monotone61.20852.334+8.8741.16956
T8s, paired64.78752.334+12.4531.23795
75s, all flops35.83143.676-7.8450.82038
75s, rainbow, ten or higher31.75643.676-11.9200.72708
75s, rainbow, nine or lower49.71743.676+6.0411.13831
75s, two-tone36.23143.676-7.4450.82954
75s, monotone38.79243.676-4.8840.88818
75s, paired35.21343.676-8.4630.80623

Does a shared suit matter?

Does suit overlap move the numbers? T8s has 66.68% when the hands share a suit and 63.33% when they do not. T8s does better with a shared suit, by 3.35 points.

T8s against 75s by suit overlap, in percent
DealsSpecific dealsShare of dealsT8s winsTies75s winsT8s equity
Share a suit425.0065.6802.00532.31566.682
No shared suit1275.0062.4311.80035.76963.331

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 16 are T8s in one seat and 75s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).

A worked example

With $100 from each side, the $200 pot is split on average as $128.34 for T8s and $71.66 for 75s; the first side gains $28.34 per all-in and the second gives up $28.34.

In 1,000 deals of exactly this matchup, expect about 632 won outright by T8s, about 349 won outright by 75s and about 19 split.

The same matchup from the other side

75s against T8s adds nothing new: it is 35.83% for 75s and 64.17% for T8s, the same figures reversed.

Try Ts8s against 7h5h 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 16 specific deals of T8s against 75s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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