AQs vs T9o: preflop equity

Before any board card is dealt, AQs holds 65.01% equity against T9o, which leaves T9o with 34.99%.

AQs

65.01%

Wins 64.79%, ties 0.44%

T9o

34.99%

Wins 34.77%, ties 0.44%

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

AQs against T9o: the numbers

Exact preflop results for AQs against T9o, in percent
HandWinsTiesLosesEquity
AQs64.7920.44234.76665.013
T9o34.7660.44264.79234.987

AQs 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.

AQs is the clear favorite, though T9o gets there on roughly one board in 3. Split pots make up 0.44% of the boards, and both equity figures count them as half a win each.

The hand ranking puts AQs at 10 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
AQs53,253,000363,00028,574,000
T9o28,574,000363,00053,253,000

Exact total: 48 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 T9o read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AQs1.8581.5432.8760.538
T9o0.5382.8761.5431.858

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

If you know the kind of flop that came, the numbers shift: AQs holds 67.72% on paired flops and 55.44% on low rainbow flops (nine high or lower). AQs stays ahead on all five textures.

AQs against T9o by flop texture, in percent
FlopShare of flopsAQs winsTiesT9o winsAQs equity
Rainbow, ten or higher23.98866.3570.14833.49566.431
Rainbow, nine or lower7.04255.0550.77144.17455.441
Two-tone46.66765.0500.26534.68565.183
Monotone5.21259.8382.36437.79861.020
Paired17.09167.4110.62031.96967.721

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: 66.21% for AQs, 51.53% for T9o. Here the change is -1.20 and -16.54 points.

AQs and T9o here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AQs, all flops65.01366.209-1.1960.98194
AQs, rainbow, ten or higher66.43166.209+0.2221.00335
AQs, rainbow, nine or lower55.44166.209-10.7680.83736
AQs, two-tone65.18366.209-1.0260.98450
AQs, monotone61.02066.209-5.1890.92163
AQs, paired67.72166.209+1.5121.02284
T9o, all flops34.98751.532-16.5450.67894
T9o, rainbow, ten or higher33.56951.532-17.9630.65142
T9o, rainbow, nine or lower44.55951.532-6.9730.86469
T9o, two-tone34.81751.532-16.7150.67564
T9o, monotone38.98051.532-12.5520.75642
T9o, paired32.27951.532-19.2530.62639

Does a shared suit matter?

Split by suits, the deals give AQs 64.80% when the hands overlap in a suit and 65.22% when they do not. AQs does better with no shared suit, by 0.42 points.

AQs against T9o by suit overlap, in percent
DealsSpecific dealsShare of dealsAQs winsTiesT9o winsAQs equity
Share a suit2450.0064.5610.48334.95664.802
No shared suit2450.0065.0230.40134.57665.223

How often this matchup comes up

This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).

A worked example

Take a $200 pot built from $100 each. AQs' equity of 65.01% is worth $130.02, a $30.02 edge, and T9o's 34.99% is worth $69.98, which is $30.02 under its stake.

Out of 1,000 deals you should see around 648 outright wins for AQs, 348 for T9o, and 4 split pots.

The same matchup from the other side

The reversed view, T9o against AQs, shows 34.99% for T9o and 65.01% for AQs. It is the same count, so it redirects here.

Try AsQs 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of AQs against T9o, 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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