T8s vs 87s: preflop equity

Counting every board, the equity split is 67.96% for T8s and 32.04% for 87s, so T8s leads by 35.92 points.

T8s

67.96%

Wins 64.51%, ties 6.90%

87s

32.04%

Wins 28.59%, ties 6.90%

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

T8s against 87s: the numbers

Exact preflop results for T8s against 87s, in percent
HandWinsTiesLosesEquity
T8s64.5116.90228.58767.962
87s28.5876.90264.51132.038

This is a contest between two suited hands, T8s and 87s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

A lead of 35.92 points is large but not decisive: 87s still takes about 286 of every 1,000 deals. Ties are 6.90% of the outcomes here; each tied board gives both hands half the pot.

Place 73 of 169 belongs to T8s and place 100 belongs to 87s in the ranking against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
T8s13,255,0001,418,0005,874,000
87s5,874,0001,418,00013,255,000

Exact total: 12 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

T8s against 87s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
T8s2.1211.5503.4980.471
87s0.4713.4981.5502.121

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

T8s prefers rainbow flops topped by a ten or better, where it holds 72.25%, and likes low rainbow flops (nine high or lower) least, where it holds 57.52%. T8s stays ahead on all five textures.

T8s against 87s by flop texture, in percent
FlopShare of flopsT8s winsTies87s winsT8s equity
Rainbow, ten or higher25.25469.0676.36024.57372.247
Rainbow, nine or lower5.65455.4264.19640.37857.524
Two-tone46.54364.2805.48630.23467.023
Monotone5.21558.2997.36934.33261.983
Paired17.33463.32312.23824.43969.442

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

The table below sets each hand against its own random-hand baseline: a change of +15.63 points for T8s, from 52.33%, and -15.90 for 87s, from 47.94%.

T8s and 87s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
T8s, all flops67.96252.334+15.6281.29862
T8s, rainbow, ten or higher72.24752.334+19.9131.38050
T8s, rainbow, nine or lower57.52452.334+5.1901.09917
T8s, two-tone67.02352.334+14.6891.28068
T8s, monotone61.98352.334+9.6491.18437
T8s, paired69.44252.334+17.1081.32690
87s, all flops32.03847.936-15.8980.66835
87s, rainbow, ten or higher27.75347.936-20.1830.57896
87s, rainbow, nine or lower42.47647.936-5.4600.88610
87s, two-tone32.97747.936-14.9590.68794
87s, monotone38.01747.936-9.9190.79308
87s, paired30.55847.936-17.3780.63747

Does a shared suit matter?

Suits do not split this matchup, because no legal deal has the hands holding the same suit.

T8s against 87s by suit overlap, in percent
DealsSpecific dealsShare of dealsT8s winsTies87s winsT8s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0064.5116.90228.58767.962

How often this matchup comes up

You will meet this exact matchup 0.0015% of the time in a random heads-up deal: 24 of 1,624,350, counting either seat order.

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says T8s gets $135.92 of it on average and 87s gets $64.08.

Scaled to 1,000 deals, that is roughly 645 wins for T8s, 286 for 87s and 69 chopped pots.

The same matchup from the other side

87s versus T8s is this same page seen from the other hand: 32.04% for 87s, 67.96% for T8s.

Open the calculator with Ts8s against 8h7h already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

Each figure is a complete count over boards. Take the 12 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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