AJs vs T9s: preflop equity

The exact count puts AJs at 62.38% and T9s at 37.62% when the two hands see all five board cards.

AJs

62.38%

Wins 62.14%, ties 0.48%

T9s

37.62%

Wins 37.38%, ties 0.48%

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

AJs against T9s: the numbers

Exact preflop results for AJs against T9s, in percent
HandWinsTiesLosesEquity
AJs62.1380.48237.38062.379
T9s37.3800.48262.13837.621

This is a contest between two suited hands, AJs and T9s. 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. Split pots make up 0.48% of the boards, and both equity figures count them as half a win each.

For context, AJs sits at number 11 of 169 starting hands and T9s at number 64 when each is run against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AJs17,024,000132,00010,241,000
T9s10,241,000132,00017,024,000

16 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.

AJs against T9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AJs1.6581.6092.6750.603
T9s0.6032.6751.6091.658

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

If you know the kind of flop that came, the numbers shift: AJs holds 65.12% on paired flops and 53.96% on low rainbow flops (nine high or lower). AJs stays ahead on all five textures.

AJs against T9s by flop texture, in percent
FlopShare of flopsAJs winsTiesT9s winsAJs equity
Rainbow, ten or higher23.86764.9890.14634.86565.062
Rainbow, nine or lower7.04253.6160.68945.69553.960
Two-tone46.72761.4850.24138.27461.605
Monotone5.27357.7473.40038.85359.447
Paired17.09164.8070.62434.56965.119

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

How much does the opponent matter? Compared with its random-hand 65.39%, AJs changes by -3.01 points, and T9s, from 54.03%, by -16.41.

AJs and T9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AJs, all flops62.37965.393-3.0140.95391
AJs, rainbow, ten or higher65.06265.393-0.3310.99494
AJs, rainbow, nine or lower53.96065.393-11.4330.82516
AJs, two-tone61.60565.393-3.7880.94207
AJs, monotone59.44765.393-5.9460.90907
AJs, paired65.11965.393-0.2740.99581
T9s, all flops37.62154.028-16.4070.69632
T9s, rainbow, ten or higher34.93854.028-19.0900.64666
T9s, rainbow, nine or lower46.04054.028-7.9880.85215
T9s, two-tone38.39554.028-15.6330.71065
T9s, monotone40.55354.028-13.4750.75059
T9s, paired34.88154.028-19.1470.64561

Does a shared suit matter?

When the hands share a suit, AJs holds 64.70%; when they do not, it holds 61.61%. AJs does better with a shared suit, by 3.09 points.

AJs against T9s by suit overlap, in percent
DealsSpecific dealsShare of dealsAJs winsTiesT9s winsAJs equity
Share a suit425.0064.4210.55735.02264.699
No shared suit1275.0061.3770.45738.16661.605

How often this matchup comes up

AJs against T9s is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. AJs averages $124.76 from the $200, up $24.76; T9s averages $75.24, down $24.76.

In 1,000 deals of exactly this matchup, expect about 621 won outright by AJs, about 374 won outright by T9s and about 5 split.

The same matchup from the other side

If you came looking for T9s against AJs, the numbers are the same with the hands swapped: 37.62% and 62.38%.

AsJs against Th9h 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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