AA vs T8s: preflop equity

Dealt all in against each other, AA takes 78.99% of the pot on average and T8s takes the other 21.01%.

AA

78.99%

Wins 78.81%, ties 0.35%

T8s

21.01%

Wins 20.84%, ties 0.35%

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

AA against T8s: the numbers

Exact preflop results for AA against T8s, in percent
HandWinsTiesLosesEquity
AA78.8110.35120.83878.986
T8s20.8380.35178.81121.014

One side is a pocket pair, the other is a suited hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.

A lead of 57.98 points is large but not decisive: T8s still takes about 208 of every 1,000 deals. The tie share is 0.35%: on those boards the pot is chopped and neither hand wins outright.

Ranked by equity against a random hand, AA is number 1 of the 169 starting hands and T8s is number 73.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AA32,388,000144,0008,563,000
T8s8,563,000144,00032,388,000

Exact total: 24 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.

AA against T8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AA3.7591.2694.7990.266
T8s0.2664.7991.2693.759

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

AA prefers paired flops, where it holds 83.12%, and likes monotone flops least, where it holds 73.68%. AA stays ahead on all five textures.

AA against T8s by flop texture, in percent
FlopShare of flopsAA winsTiesT8s winsAA equity
Rainbow, ten or higher23.86780.8010.18719.01280.895
Rainbow, nine or lower7.04278.7620.68720.55179.106
Two-tone46.54576.9010.28422.81577.043
Monotone5.21272.4862.39125.12373.681
Paired17.33483.1180.00716.87583.122

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

Start from the random-hand figures, 85.20% for AA and 52.33% for T8s. This opponent changes them by -6.21 and -31.32 points.

AA and T8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AA, all flops78.98685.204-6.2180.92702
AA, rainbow, ten or higher80.89585.204-4.3090.94943
AA, rainbow, nine or lower79.10685.204-6.0980.92843
AA, two-tone77.04385.204-8.1610.90422
AA, monotone73.68185.204-11.5230.86476
AA, paired83.12285.204-2.0820.97556
T8s, all flops21.01452.334-31.3200.40154
T8s, rainbow, ten or higher19.10552.334-33.2290.36506
T8s, rainbow, nine or lower20.89452.334-31.4400.39924
T8s, two-tone22.95752.334-29.3770.43866
T8s, monotone26.31952.334-26.0150.50290
T8s, paired16.87852.334-35.4560.32251

Does a shared suit matter?

The suit split reads 79.56% for AA with a shared suit and 78.41% without one. AA does better with a shared suit, by 1.15 points.

AA against T8s by suit overlap, in percent
DealsSpecific dealsShare of dealsAA winsTiesT8s winsAA equity
Share a suit1250.0079.3640.39320.24379.560
No shared suit1250.0078.2580.30921.43378.412

How often this matchup comes up

Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says AA gets $157.98 of it on average and T8s gets $42.02.

Scaled to 1,000 deals, that is roughly 788 wins for AA, 208 for T8s and 4 chopped pots.

The same matchup from the other side

Read it from the other side: T8s against AA is the same matchup with the numbers swapped, so T8s holds 21.01% and AA holds 78.99%. That address sends you back to this page.

Try AsAh against Td8d 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 24 specific AA against T8s 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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