AQs vs T8s: preflop equity

Counting every board, the equity split is 63.02% for AQs and 36.98% for T8s, so AQs leads by 26.04 points.

AQs

63.02%

Wins 62.78%, ties 0.48%

T8s

36.98%

Wins 36.74%, ties 0.48%

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

AQs against T8s: the numbers

Exact preflop results for AQs against T8s, in percent
HandWinsTiesLosesEquity
AQs62.7780.47836.74463.017
T8s36.7440.47862.77836.983

The matchup is suited hands on both sides, AQs against T8s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. 0.48% of boards are ties, so the equity of each hand is its win rate plus half of that.

In the ranking of all 169 starting hands, AQs is number 10 and T8s is number 73.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AQs17,199,000131,00010,067,000
T8s10,067,000131,00017,199,000

Exact total: 16 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.

AQs against T8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AQs1.7041.5932.7220.587
T8s0.5872.7221.5931.704

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

If you know the kind of flop that came, the numbers shift: AQs holds 66.40% on rainbow flops topped by a ten or better and 52.63% on low rainbow flops (nine high or lower). AQs stays ahead on all five textures.

AQs against T8s by flop texture, in percent
FlopShare of flopsAQs winsTiesT8s winsAQs equity
Rainbow, ten or higher23.86766.3240.14133.53566.395
Rainbow, nine or lower7.04252.2970.67447.02952.634
Two-tone46.72762.1900.23737.57362.309
Monotone5.27358.4073.39938.19460.106
Paired17.09165.0990.62434.27765.411

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, AQs holds 66.21% and T8s holds 52.33%. Facing each other changes that by -3.19 points for AQs and -15.35 points for T8s.

AQs and T8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AQs, all flops63.01766.209-3.1920.95179
AQs, rainbow, ten or higher66.39566.209+0.1861.00281
AQs, rainbow, nine or lower52.63466.209-13.5750.79497
AQs, two-tone62.30966.209-3.9000.94110
AQs, monotone60.10666.209-6.1030.90782
AQs, paired65.41166.209-0.7980.98795
T8s, all flops36.98352.334-15.3510.70667
T8s, rainbow, ten or higher33.60552.334-18.7290.64213
T8s, rainbow, nine or lower47.36652.334-4.9680.90507
T8s, two-tone37.69152.334-14.6430.72020
T8s, monotone39.89452.334-12.4400.76230
T8s, paired34.58952.334-17.7450.66093

Does a shared suit matter?

The suit split reads 65.36% for AQs with a shared suit and 62.24% without one. AQs does better with a shared suit, by 3.12 points.

AQs against T8s by suit overlap, in percent
DealsSpecific dealsShare of dealsAQs winsTiesT8s winsAQs equity
Share a suit425.0065.0850.55334.36265.362
No shared suit1275.0062.0090.45237.53962.235

How often this matchup comes up

Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. AQs is worth $126.04 on average (+$26.04); T8s is worth $73.96 (-$26.04).

A thousand deals look like this: AQs takes 628, T8s takes 367, 5 are ties.

The same matchup from the other side

T8s versus AQs is this same page seen from the other hand: 36.98% for T8s, 63.02% for AQs.

The calculator link fills in AsQs against Th8h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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