ATo vs T8s: preflop equity

The exact count puts ATo at 67.64% and T8s at 32.36% when the two hands see all five board cards.

ATo

67.64%

Wins 66.57%, ties 2.14%

T8s

32.36%

Wins 31.29%, ties 2.14%

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

ATo against T8s: the numbers

Exact preflop results for ATo against T8s, in percent
HandWinsTiesLosesEquity
ATo66.5702.14231.28867.641
T8s31.2882.14266.57032.359

We compare an offsuit hand with a suited hand. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.

That is a clear edge, 67.64% to 32.36%, but T8s still wins often enough that one hand proves nothing. Of every 100 boards, about 2.14 are split pots, and the equity figures already include them.

In the ranking of all 169 starting hands, ATo is number 19 and T8s is number 73.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
ATo41,036,0001,320,00019,287,000
T8s19,287,0001,320,00041,036,000

36 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.

ATo against T8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
ATo2.0901.5023.1960.478
T8s0.4783.1961.5022.090

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

By flop texture, ATo's equity runs from 54.33% on low rainbow flops (nine high or lower) up to 73.14% on rainbow flops topped by a ten or better. ATo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

ATo against T8s by flop texture, in percent
FlopShare of flopsATo winsTiesT8s winsATo equity
Rainbow, ten or higher23.90572.1961.88525.91973.138
Rainbow, nine or lower7.04252.9292.79744.27454.328
Two-tone46.52764.5981.94833.45465.572
Monotone5.19261.7673.38434.84963.459
Paired17.33471.0842.38226.53472.275

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

The table below sets each hand against its own random-hand baseline: a change of +4.92 points for ATo, from 62.72%, and -19.97 for T8s, from 52.33%.

ATo and T8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
ATo, all flops67.64162.722+4.9191.07843
ATo, rainbow, ten or higher73.13862.722+10.4161.16607
ATo, rainbow, nine or lower54.32862.722-8.3940.86617
ATo, two-tone65.57262.722+2.8501.04544
ATo, monotone63.45962.722+0.7371.01175
ATo, paired72.27562.722+9.5531.15231
T8s, all flops32.35952.334-19.9750.61832
T8s, rainbow, ten or higher26.86252.334-25.4720.51328
T8s, rainbow, nine or lower45.67252.334-6.6620.87270
T8s, two-tone34.42852.334-17.9060.65785
T8s, monotone36.54152.334-15.7930.69823
T8s, paired27.72552.334-24.6090.52977

Does a shared suit matter?

Looking only at deals where the hands share a suit, ATo has 68.69%; looking only at deals where they do not, 67.12%. ATo does better with a shared suit, by 1.57 points.

ATo against T8s by suit overlap, in percent
DealsSpecific dealsShare of dealsATo winsTiesT8s winsATo equity
Share a suit1233.3367.5772.23230.19168.693
No shared suit2466.6766.0662.09831.83667.115

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 36 are ATo in one seat and T8s in the other (0.0022%); with the seats swapped too, 72 (0.0044%).

A worked example

Put $100 each into a $200 pot and deal every board once: ATo averages $135.28 back, ahead of its $100 by $35.28, while T8s averages $64.72, short of its $100 by $35.28.

Run 1,000 deals and the tally comes out near 666 for ATo, 313 for T8s and 21 ties.

The same matchup from the other side

One page covers both views. From T8s' side the equity is 32.36%, and from ATo's side it is 67.64%.

Try AsTh 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 36 specific deals of ATo against T8s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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