T8s vs 43s: preflop equity

Over all 1,712,304 boards that can follow this deal, T8s finishes with 63.85% of the pot and 43s with 36.15%.

T8s

63.85%

Wins 62.90%, ties 1.89%

43s

36.15%

Wins 35.21%, ties 1.89%

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

T8s against 43s: the numbers

Exact preflop results for T8s against 43s, in percent
HandWinsTiesLosesEquity
T8s62.9001.88935.21163.845
43s35.2111.88962.90036.155

Here suited hands face each other, T8s on one side and 43s on the other. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

T8s is ahead, but 43s is far from dead: it takes 352 of every 1,000 deals outright. Of every 100 boards, about 1.89 are split pots, and the equity figures already include them.

By strength against a random hand, T8s holds place 73 of 169 and 43s holds place 150.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
T8s17,233,000518,0009,647,000
43s9,647,000518,00017,233,000

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 43s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
T8s1.7661.5902.8400.566
43s0.5662.8401.5901.766

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

Rainbow flops topped by a ten or better are the best for T8s (67.03%); low rainbow flops (nine high or lower) are the worst (53.66%). T8s stays ahead on all five textures.

T8s against 43s by flop texture, in percent
FlopShare of flopsT8s winsTies43s winsT8s equity
Rainbow, ten or higher25.22066.3991.26432.33767.031
Rainbow, nine or lower5.68953.3650.59746.03853.664
Two-tone46.72762.9621.03536.00363.479
Monotone5.27359.1004.12136.77961.160
Paired17.09161.9174.88833.19564.361

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

The table below sets each hand against its own random-hand baseline: a change of +11.52 points for T8s, from 52.33%, and -2.49 for 43s, from 38.64%.

T8s and 43s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
T8s, all flops63.84552.334+11.5111.21995
T8s, rainbow, ten or higher67.03152.334+14.6971.28083
T8s, rainbow, nine or lower53.66452.334+1.3301.02541
T8s, two-tone63.47952.334+11.1451.21296
T8s, monotone61.16052.334+8.8261.16865
T8s, paired64.36152.334+12.0271.22981
43s, all flops36.15538.642-2.4870.93564
43s, rainbow, ten or higher32.96938.642-5.6730.85319
43s, rainbow, nine or lower46.33638.642+7.6941.19911
43s, two-tone36.52138.642-2.1210.94511
43s, monotone38.84038.642+0.1981.00512
43s, paired35.63938.642-3.0030.92229

Does a shared suit matter?

Does suit overlap move the numbers? T8s has 66.25% when the hands share a suit and 63.04% when they do not. T8s does better with a shared suit, by 3.21 points.

T8s against 43s by suit overlap, in percent
DealsSpecific dealsShare of dealsT8s winsTies43s winsT8s equity
Share a suit425.0065.2342.04032.72666.254
No shared suit1275.0062.1221.83936.03963.042

How often this matchup comes up

How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are T8s against 43s, and 32 (0.0020%) if either hand may sit in either seat.

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says T8s gets $127.70 of it on average and 43s gets $72.30.

Run 1,000 deals and the tally comes out near 629 for T8s, 352 for 43s and 19 ties.

The same matchup from the other side

43s against T8s adds nothing new: it is 36.15% for 43s and 63.85% for T8s, the same figures reversed.

Try Ts8s against 4h3h 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

This is an exact count with no sampling. For the 16 ways to deal one T8s and one 43s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

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