T8s vs 54s: preflop equity

Over all 1,712,304 boards that can follow this deal, T8s finishes with 62.42% of the pot and 54s with 37.58%.

T8s

62.42%

Wins 61.49%, ties 1.88%

54s

37.58%

Wins 36.63%, ties 1.88%

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

T8s against 54s: the numbers

Exact preflop results for T8s against 54s, in percent
HandWinsTiesLosesEquity
T8s61.4861.87536.63962.423
54s36.6391.87561.48637.577

Both hands are suited hands: T8s and 54s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

T8s is ahead, but 54s is far from dead: it takes 366 of every 1,000 deals outright. A split pot comes up on 1.88% of boards, so the wins and the equity differ by half of that.

The hand ranking puts T8s at 73 and 54s at 136 out of 169 starting hands.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
T8s16,845,000514,00010,038,000
54s10,038,000514,00016,845,000

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 54s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
T8s1.6611.6262.7290.602
54s0.6022.7291.6261.661

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

Across the five flop textures T8s' equity moves by 15.54 points, from 50.27% on low rainbow flops (nine high or lower) to 65.81% on rainbow flops topped by a ten or better. 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 54s by flop texture, in percent
FlopShare of flopsT8s winsTies54s winsT8s equity
Rainbow, ten or higher25.22065.1741.26433.56265.806
Rainbow, nine or lower5.68950.0020.54149.45750.272
Two-tone46.72761.5031.02737.47062.017
Monotone5.27357.9474.01838.03559.956
Paired17.09160.9114.88034.20963.351

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

Against one random hand instead, T8s holds 52.33% and 54s holds 41.45%. Facing each other changes that by +10.09 points for T8s and -3.87 points for 54s.

T8s and 54s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
T8s, all flops62.42352.334+10.0891.19278
T8s, rainbow, ten or higher65.80652.334+13.4721.25742
T8s, rainbow, nine or lower50.27252.334-2.0620.96060
T8s, two-tone62.01752.334+9.6831.18502
T8s, monotone59.95652.334+7.6221.14564
T8s, paired63.35152.334+11.0171.21051
54s, all flops37.57741.453-3.8760.90650
54s, rainbow, ten or higher34.19441.453-7.2590.82489
54s, rainbow, nine or lower49.72841.453+8.2751.19962
54s, two-tone37.98341.453-3.4700.91629
54s, monotone40.04441.453-1.4090.96601
54s, paired36.64941.453-4.8040.88411

Does a shared suit matter?

Does suit overlap move the numbers? T8s has 64.71% when the hands share a suit and 61.66% when they do not. T8s does better with a shared suit, by 3.05 points.

T8s against 54s by suit overlap, in percent
DealsSpecific dealsShare of dealsT8s winsTies54s winsT8s equity
Share a suit425.0063.6902.03034.28064.705
No shared suit1275.0060.7511.82437.42561.663

How often this matchup comes up

You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average T8s takes back $124.84 of it, which is $24.84 more than it put in, and 54s takes back $75.16, $24.84 less than it put in.

Out of 1,000 deals you should see around 615 outright wins for T8s, 366 for 54s, and 19 split pots.

The same matchup from the other side

If you came looking for 54s against T8s, the numbers are the same with the hands swapped: 37.58% and 62.42%.

Try Ts8s against 5h4h 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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