AJs vs T9o: preflop equity

Counting every board, the equity split is 65.20% for AJs and 34.80% for T9o, so AJs leads by 30.40 points.

AJs

65.20%

Wins 64.99%, ties 0.44%

T9o

34.80%

Wins 34.57%, ties 0.44%

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

AJs against T9o: the numbers

Exact preflop results for AJs against T9o, in percent
HandWinsTiesLosesEquity
AJs64.9850.43734.57865.204
T9o34.5780.43764.98534.796

The matchup pits a suited hand against an offsuit hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

A lead of 30.40 points is large but not decisive: T9o still takes about 346 of every 1,000 deals. A split pot comes up on 0.44% of boards, so the wins and the equity differ by half of that.

For context, AJs sits at number 11 of 169 starting hands and T9o at number 78 when each is run against a random hand.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AJs53,412,000359,00028,420,000
T9o28,420,000359,00053,412,000

The total is exact: 48 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

AJs against T9o read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AJs1.8741.5392.8920.534
T9o0.5342.8921.5391.874

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

Break the boards down by their first three cards and AJs is strongest on paired flops (68.01%) and weakest on low rainbow flops (nine high or lower) (55.70%). AJs stays ahead on all five textures.

AJs against T9o by flop texture, in percent
FlopShare of flopsAJs winsTiesT9o winsAJs equity
Rainbow, ten or higher23.98866.5800.15233.26866.656
Rainbow, nine or lower7.04255.3390.71643.94555.697
Two-tone46.66765.2030.25834.53965.332
Monotone5.21259.8532.36037.78761.033
Paired17.09167.6930.62431.68368.005

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

Start from the random-hand figures, 65.39% for AJs and 51.53% for T9o. This opponent changes them by -0.19 and -16.73 points.

AJs and T9o here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AJs, all flops65.20465.393-0.1890.99711
AJs, rainbow, ten or higher66.65665.393+1.2631.01931
AJs, rainbow, nine or lower55.69765.393-9.6960.85173
AJs, two-tone65.33265.393-0.0610.99907
AJs, monotone61.03365.393-4.3600.93333
AJs, paired68.00565.393+2.6121.03994
T9o, all flops34.79651.532-16.7360.67523
T9o, rainbow, ten or higher33.34451.532-18.1880.64705
T9o, rainbow, nine or lower44.30351.532-7.2290.85972
T9o, two-tone34.66851.532-16.8640.67275
T9o, monotone38.96751.532-12.5650.75617
T9o, paired31.99551.532-19.5370.62088

Does a shared suit matter?

Of the deals of this matchup, 24 share a suit (AJs at 65.00%) and 24 do not (65.41%). AJs does better with no shared suit, by 0.41 points.

AJs against T9o by suit overlap, in percent
DealsSpecific dealsShare of dealsAJs winsTiesT9o winsAJs equity
Share a suit2450.0064.7600.47734.76364.998
No shared suit2450.0065.2110.39634.39365.409

How often this matchup comes up

How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are AJs against T9o, and 96 (0.0059%) if either hand may sit in either seat.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, AJs' average share is $130.40 (a gain of $30.40) and T9o's is $69.60 (a loss of $30.40).

Scaled to 1,000 deals, that is roughly 650 wins for AJs, 346 for T9o and 4 chopped pots.

The same matchup from the other side

One page covers both views. From T9o's side the equity is 34.80%, and from AJs' side it is 65.20%.

The calculator link fills in AsJs against Th9d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

Nothing here is simulated. The 48 deals of AJs against T9o fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

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

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