T8s vs 53s: preflop equity

The exact count puts T8s at 63.80% and 53s at 36.20% when the two hands see all five board cards.

T8s

63.80%

Wins 62.86%, ties 1.88%

53s

36.20%

Wins 35.26%, ties 1.88%

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

T8s against 53s: the numbers

Exact preflop results for T8s against 53s, in percent
HandWinsTiesLosesEquity
T8s62.8591.88435.25763.801
53s35.2571.88462.85936.199

T8s meets 53s, and both are suited hands. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

T8s is ahead, but 53s is far from dead: it takes 352 of every 1,000 deals outright. The tie share is 1.88%: on those boards the pot is chopped and neither hand wins outright.

Among the 169 starting hands, T8s is number 73 and 53s is number 146 by strength against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
T8s17,221,000516,0009,659,000
53s9,659,000516,00017,221,000

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 53s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
T8s1.7631.5912.8360.567
53s0.5672.8361.5911.763

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. T8s does best on rainbow flops topped by a ten or better, at 67.02%, and worst on low rainbow flops (nine high or lower), at 53.62%. T8s stays ahead on all five textures.

T8s against 53s by flop texture, in percent
FlopShare of flopsT8s winsTies53s winsT8s equity
Rainbow, ten or higher25.22066.3841.26432.35267.016
Rainbow, nine or lower5.68953.3170.59746.08653.615
Two-tone46.72762.9421.03536.02363.459
Monotone5.27359.0844.03036.88661.099
Paired17.09161.7714.88533.34464.214

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 53s holds 39.69%. Facing each other changes that by +11.47 points for T8s and -3.49 points for 53s.

T8s and 53s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
T8s, all flops63.80152.334+11.4671.21911
T8s, rainbow, ten or higher67.01652.334+14.6821.28054
T8s, rainbow, nine or lower53.61552.334+1.2811.02448
T8s, two-tone63.45952.334+11.1251.21258
T8s, monotone61.09952.334+8.7651.16748
T8s, paired64.21452.334+11.8801.22700
53s, all flops36.19939.693-3.4940.91197
53s, rainbow, ten or higher32.98439.693-6.7090.83098
53s, rainbow, nine or lower46.38539.693+6.6921.16859
53s, two-tone36.54139.693-3.1520.92059
53s, monotone38.90139.693-0.7920.98005
53s, paired35.78639.693-3.9070.90157

Does a shared suit matter?

Two kinds of deal exist here. In 4 of them the hands share a suit and T8s holds 66.21%. In 12 they do not, and it holds 63.00%. T8s does better with a shared suit, by 3.21 points.

T8s against 53s by suit overlap, in percent
DealsSpecific dealsShare of dealsT8s winsTies53s winsT8s equity
Share a suit425.0065.1902.03932.77166.210
No shared suit1275.0062.0821.83236.08662.998

How often this matchup comes up

How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are T8s against 53s, and 32 (0.0020%) if either hand may sit in either seat.

A worked example

Put $100 each into a $200 pot and deal every board once: T8s averages $127.60 back, ahead of its $100 by $27.60, while 53s averages $72.40, short of its $100 by $27.60.

Over a long run, 1,000 deals split into about 629 for T8s, 352 for 53s and 19 tied.

The same matchup from the other side

Swap the hands and you get 53s with 36.20% against T8s with 63.80%. We keep one page per matchup, with the better-ranked hand first.

Try Ts8s against 5h3h 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

We counted every case. Each suit pattern of the 16 specific T8s against 53s 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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