A9s vs T8s: preflop equity

Dealt all in against each other, A9s takes 59.58% of the pot on average and T8s takes the other 40.42%.

A9s

59.58%

Wins 59.35%, ties 0.47%

T8s

40.42%

Wins 40.18%, ties 0.47%

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

A9s against T8s: the numbers

Exact preflop results for A9s against T8s, in percent
HandWinsTiesLosesEquity
A9s59.3460.46540.18959.578
T8s40.1890.46559.34640.422

This is a contest between two suited hands, A9s and T8s. 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. Of every 100 boards, about 0.47 are split pots, and the equity figures already include them.

In the ranking of all 169 starting hands, A9s is number 18 and T8s is number 73.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A9s16,259,000127,00011,011,000
T8s11,011,000127,00016,259,000

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.

A9s against T8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A9s1.4741.6852.4880.678
T8s0.6782.4881.6851.474

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: A9s holds 63.77% on paired flops and 56.76% on monotone flops. A9s stays ahead on all five textures.

A9s against T8s by flop texture, in percent
FlopShare of flopsA9s winsTiesT8s winsA9s equity
Rainbow, ten or higher24.54359.2330.17640.59159.321
Rainbow, nine or lower6.36658.8970.49540.60859.145
Two-tone46.72758.4490.22041.33158.559
Monotone5.27355.0643.39041.54656.759
Paired17.09163.4480.63735.91563.766

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

Each hand has a baseline against a random hand: 62.78% for A9s, 52.33% for T8s. Here the change is -3.20 and -11.91 points.

A9s and T8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A9s, all flops59.57862.781-3.2030.94898
A9s, rainbow, ten or higher59.32162.781-3.4600.94489
A9s, rainbow, nine or lower59.14562.781-3.6360.94208
A9s, two-tone58.55962.781-4.2220.93275
A9s, monotone56.75962.781-6.0220.90408
A9s, paired63.76662.781+0.9851.01569
T8s, all flops40.42252.334-11.9120.77239
T8s, rainbow, ten or higher40.67952.334-11.6550.77730
T8s, rainbow, nine or lower40.85552.334-11.4790.78066
T8s, two-tone41.44152.334-10.8930.79186
T8s, monotone43.24152.334-9.0930.82625
T8s, paired36.23452.334-16.1000.69236

Does a shared suit matter?

Of the deals of this matchup, 4 share a suit (A9s at 61.71%) and 12 do not (58.87%). A9s does better with a shared suit, by 2.84 points.

A9s against T8s by suit overlap, in percent
DealsSpecific dealsShare of dealsA9s winsTiesT8s winsA9s equity
Share a suit425.0061.4370.53838.02561.706
No shared suit1275.0058.6490.44140.91058.869

How often this matchup comes up

This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, A9s' average share is $119.16 (a gain of $19.16) and T8s' is $80.84 (a loss of $19.16).

Out of 1,000 deals you should see around 593 outright wins for A9s, 402 for T8s, and 5 split pots.

The same matchup from the other side

T8s against A9s adds nothing new: it is 40.42% for T8s and 59.58% for A9s, the same figures reversed.

As9s against Th8h is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

How this was computed

Each figure is a complete count over boards. Take the 16 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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