TT vs A8s: preflop equity

If TT and A8s get all the chips in before the flop, TT owns 68.17% of the pot in the long run and A8s owns 31.83%.

TT

68.17%

Wins 67.98%, ties 0.37%

A8s

31.83%

Wins 31.65%, ties 0.37%

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

TT against A8s: the numbers

Exact preflop results for TT against A8s, in percent
HandWinsTiesLosesEquity
TT67.9810.37131.64868.166
A8s31.6480.37167.98131.834

One side is a pocket pair, the other is a suited hand. The pair is ahead of one card and behind the other, so the board decides how that plays out.

A lead of 36.34 points is large but not decisive: A8s still takes about 316 of every 1,000 deals. Of every 100 boards, about 0.37 are split pots, and the equity figures already include them.

TT ranks number 5 of 169 starting hands, and A8s ranks number 21, by equity against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
TT27,937,000152,00013,006,000
A8s13,006,000152,00027,937,000

The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

TT against A8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
TT2.1411.4713.1600.467
A8s0.4673.1601.4712.141

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

Split by what the flop looks like, TT peaks at 77.05% on low rainbow flops (nine high or lower) and bottoms out at 63.59% on monotone flops. TT stays ahead on all five textures.

TT against A8s by flop texture, in percent
FlopShare of flopsTT winsTiesA8s winsTT equity
Rainbow, ten or higher23.86767.5780.16132.26167.659
Rainbow, nine or lower7.04276.7020.69022.60877.047
Two-tone46.54566.3580.26133.38166.489
Monotone5.21262.4082.36735.22563.592
Paired17.33471.0230.22828.74971.137

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

Start from the random-hand figures, 75.01% for TT and 61.94% for A8s. This opponent changes them by -6.84 and -30.11 points.

TT and A8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
TT, all flops68.16675.012-6.8460.90873
TT, rainbow, ten or higher67.65975.012-7.3530.90198
TT, rainbow, nine or lower77.04775.012+2.0351.02713
TT, two-tone66.48975.012-8.5230.88638
TT, monotone63.59275.012-11.4200.84776
TT, paired71.13775.012-3.8750.94834
A8s, all flops31.83461.944-30.1100.51392
A8s, rainbow, ten or higher32.34161.944-29.6030.52210
A8s, rainbow, nine or lower22.95361.944-38.9910.37054
A8s, two-tone33.51161.944-28.4330.54099
A8s, monotone36.40861.944-25.5360.58776
A8s, paired28.86361.944-33.0810.46595

Does a shared suit matter?

Split by suits, the deals give TT 68.45% when the hands overlap in a suit and 67.89% when they do not. TT does better with a shared suit, by 0.56 points.

TT against A8s by suit overlap, in percent
DealsSpecific dealsShare of dealsTT winsTiesA8s winsTT equity
Share a suit1250.0068.2390.41331.34868.445
No shared suit1250.0067.7230.32931.94867.887

How often this matchup comes up

The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.

A worked example

Take a $200 pot built from $100 each. TT's equity of 68.17% is worth $136.34, a $36.34 edge, and A8s' 31.83% is worth $63.66, which is $36.34 under its stake.

Out of 1,000 deals you should see around 680 outright wins for TT, 316 for A8s, and 4 split pots.

The same matchup from the other side

The mirror image, A8s against TT, is 31.83% to 68.17%, and its address redirects to this page.

Open the calculator with TsTh against Ad8d 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

This is an exact count with no sampling. For the 24 ways to deal one TT and one A8s 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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