TT vs A9o: preflop equity

Averaged over every possible board, TT is ahead of A9o by 44.38 points of equity, 72.19% to 27.81%.

TT

72.19%

Wins 72.01%, ties 0.36%

A9o

27.81%

Wins 27.63%, ties 0.36%

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

TT against A9o: the numbers

Exact preflop results for TT against A9o, in percent
HandWinsTiesLosesEquity
TT72.0070.35927.63472.187
A9o27.6340.35972.00727.813

Here a pocket pair (TT) meets an offsuit hand (A9o). The pair is ahead of one card and behind the other, so the board decides how that plays out.

A lead of 44.38 points is large but not decisive: A9o still takes about 276 of every 1,000 deals. The tie share is 0.36%: on those boards the pot is chopped and neither hand wins outright.

Ranked by equity against a random hand, TT is number 5 of the 169 starting hands and A9o is number 25.

Boards behind the percentages: 123,285,888 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
TT88,774,000443,00034,069,000
A9o34,069,000443,00088,774,000

Exact total: 72 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.

TT against A9o read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
TT2.5951.3893.6190.385
A9o0.3853.6191.3892.595

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: TT holds 81.09% on low rainbow flops (nine high or lower) and 67.51% on monotone flops. TT stays ahead on all five textures.

TT against A9o by flop texture, in percent
FlopShare of flopsTT winsTiesA9o winsTT equity
Rainbow, ten or higher23.98869.6410.16530.19469.724
Rainbow, nine or lower7.04280.6940.79218.51481.090
Two-tone46.48571.6180.29528.08771.766
Monotone5.15166.6671.68831.64567.511
Paired17.33474.3820.22825.39074.496

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

How much does the opponent matter? Compared with its random-hand 75.01%, TT changes by -2.82 points, and A9o, from 60.77%, by -32.96.

TT and A9o here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
TT, all flops72.18775.012-2.8250.96234
TT, rainbow, ten or higher69.72475.012-5.2880.92950
TT, rainbow, nine or lower81.09075.012+6.0781.08103
TT, two-tone71.76675.012-3.2460.95673
TT, monotone67.51175.012-7.5010.90000
TT, paired74.49675.012-0.5160.99312
A9o, all flops27.81360.773-32.9600.45765
A9o, rainbow, ten or higher30.27660.773-30.4970.49818
A9o, rainbow, nine or lower18.91060.773-41.8630.31116
A9o, two-tone28.23460.773-32.5390.46458
A9o, monotone32.48960.773-28.2840.53460
A9o, paired25.50460.773-35.2690.41966

Does a shared suit matter?

Two kinds of deal exist here. In 60 of them the hands share a suit and TT holds 72.23%. In 12 they do not, and it holds 71.99%. The two rows differ by only 0.24 points, so suits barely change this matchup.

TT against A9o by suit overlap, in percent
DealsSpecific dealsShare of dealsTT winsTiesA9o winsTT equity
Share a suit6083.3372.0380.37527.58772.226
No shared suit1216.6771.8500.28027.87071.990

How often this matchup comes up

Counting specific cards, TT against A9o appears in 72 of the 1,624,350 ordered heads-up deals (0.0044%), and in 144 when the seats are swapped too (0.0089%).

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says TT gets $144.38 of it on average and A9o gets $55.62.

Over a long run, 1,000 deals split into about 720 for TT, 276 for A9o and 4 tied.

The same matchup from the other side

The mirror image, A9o against TT, is 27.81% to 72.19%, and its address redirects to this page.

TsTh against Ad9c 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 72 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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