A8s vs T9o: preflop equity

Over all 1,712,304 boards that can follow this deal, A8s finishes with 58.61% of the pot and T9o with 41.39%.

A8s

58.61%

Wins 58.41%, ties 0.42%

T9o

41.39%

Wins 41.17%, ties 0.42%

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

A8s against T9o: the numbers

Exact preflop results for A8s against T9o, in percent
HandWinsTiesLosesEquity
A8s58.4050.41741.17858.613
T9o41.1780.41758.40541.387

A8s is a suited hand and T9o is an offsuit hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

The lead is steady rather than large, and the flop still has plenty of say in who wins. The tie share is 0.42%: on those boards the pot is chopped and neither hand wins outright.

The hand ranking puts A8s at 21 and T9o at 78 out of 169 starting hands.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A8s48,003,000343,00033,844,000
T9o33,844,000343,00048,003,000

48 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.

A8s against T9o read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A8s1.4161.7122.4280.706
T9o0.7062.4281.7121.416

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

Split by what the flop looks like, A8s peaks at 64.26% on paired flops and bottoms out at 54.52% on low rainbow flops (nine high or lower). A8s stays ahead on all five textures.

A8s against T9o by flop texture, in percent
FlopShare of flopsA8s winsTiesT9o winsA8s equity
Rainbow, ten or higher24.66557.0630.18442.75357.155
Rainbow, nine or lower6.36554.2630.51445.22354.520
Two-tone46.66758.1120.23241.65658.228
Monotone5.21254.2992.34343.35855.471
Paired17.09163.9360.63735.42764.255

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

Compared with a random opponent, this matchup shifts A8s from 61.94% by -3.33 points and T9o from 51.53% by -10.14 points.

A8s and T9o here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A8s, all flops58.61361.944-3.3310.94623
A8s, rainbow, ten or higher57.15561.944-4.7890.92269
A8s, rainbow, nine or lower54.52061.944-7.4240.88015
A8s, two-tone58.22861.944-3.7160.94001
A8s, monotone55.47161.944-6.4730.89550
A8s, paired64.25561.944+2.3111.03731
T9o, all flops41.38751.532-10.1450.80313
T9o, rainbow, ten or higher42.84551.532-8.6870.83143
T9o, rainbow, nine or lower45.48051.532-6.0520.88256
T9o, two-tone41.77251.532-9.7600.81060
T9o, monotone44.52951.532-7.0030.86410
T9o, paired35.74551.532-15.7870.69365

Does a shared suit matter?

Split by suits, the deals give A8s 58.29% when the hands overlap in a suit and 58.94% when they do not. A8s does better with no shared suit, by 0.65 points.

A8s against T9o by suit overlap, in percent
DealsSpecific dealsShare of dealsA8s winsTiesT9o winsA8s equity
Share a suit2450.0058.0560.45941.48558.285
No shared suit2450.0058.7530.37640.87158.941

How often this matchup comes up

You will meet this exact matchup 0.0059% of the time in a random heads-up deal: 96 of 1,624,350, counting either seat order.

A worked example

Put $100 each into a $200 pot and deal every board once: A8s averages $117.22 back, ahead of its $100 by $17.22, while T9o averages $82.78, short of its $100 by $17.22.

Out of 1,000 deals you should see around 584 outright wins for A8s, 412 for T9o, and 4 split pots.

The same matchup from the other side

The reversed view, T9o against A8s, shows 41.39% for T9o and 58.61% for A8s. It is the same count, so it redirects here.

Try As8s against Th9d 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

Method: exact enumeration. The 48 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.

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

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