AKo vs T9o: preflop equity

Before any board card is dealt, AKo holds 63.09% equity against T9o, which leaves T9o with 36.91%.

AKo

63.09%

Wins 62.88%, ties 0.43%

T9o

36.91%

Wins 36.69%, ties 0.43%

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

AKo against T9o: the numbers

Exact preflop results for AKo against T9o, in percent
HandWinsTiesLosesEquity
AKo62.8800.42736.69363.094
T9o36.6930.42762.88036.906

AKo and T9o are both offsuit hands. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

AKo is ahead, but T9o is far from dead: it takes 367 of every 1,000 deals outright. Of every 100 boards, about 0.43 are split pots, and the equity figures already include them.

For context, AKo sits at number 12 of 169 starting hands and T9o at number 78 when each is run against a random hand.

Boards behind the percentages: 246,571,776 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AKo155,044,0001,053,00090,475,000
T9o90,475,0001,053,000155,044,000

The board total is exact, 144 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

AKo against T9o read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AKo1.7101.5902.7250.585
T9o0.5852.7251.5901.710

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: AKo holds 65.93% on paired flops and 53.52% on low rainbow flops (nine high or lower). AKo stays ahead on all five textures.

AKo against T9o by flop texture, in percent
FlopShare of flopsAKo winsTiesT9o winsAKo equity
Rainbow, ten or higher24.11065.0170.16134.82265.097
Rainbow, nine or lower7.04253.1090.82246.06953.520
Two-tone46.60662.3850.29737.31862.534
Monotone5.15161.6091.68736.70462.452
Paired17.09165.6250.61633.75965.933

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

Against one random hand instead, AKo holds 65.32% and T9o holds 51.53%. Facing each other changes that by -2.23 points for AKo and -14.62 points for T9o.

AKo and T9o here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AKo, all flops63.09465.320-2.2260.96592
AKo, rainbow, ten or higher65.09765.320-0.2230.99659
AKo, rainbow, nine or lower53.52065.320-11.8000.81935
AKo, two-tone62.53465.320-2.7860.95735
AKo, monotone62.45265.320-2.8680.95609
AKo, paired65.93365.320+0.6131.00938
T9o, all flops36.90651.532-14.6260.71618
T9o, rainbow, ten or higher34.90351.532-16.6290.67731
T9o, rainbow, nine or lower46.48051.532-5.0520.90196
T9o, two-tone37.46651.532-14.0660.72704
T9o, monotone37.54851.532-13.9840.72863
T9o, paired34.06751.532-17.4650.66108

Does a shared suit matter?

The suit split reads 63.20% for AKo with a shared suit and 62.58% without one. AKo does better with a shared suit, by 0.62 points.

AKo against T9o by suit overlap, in percent
DealsSpecific dealsShare of dealsAKo winsTiesT9o winsAKo equity
Share a suit12083.3362.9750.44336.58263.196
No shared suit2416.6762.4070.34837.24562.581

How often this matchup comes up

The class pair covers 144 combinations of specific cards in a fixed seat order, 0.0089% of 1,624,350, and 288 (0.0177%) in either order.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, AKo's average share is $126.18 (a gain of $26.18) and T9o's is $73.82 (a loss of $26.18).

Over a long run, 1,000 deals split into about 629 for AKo, 367 for T9o and 4 tied.

The same matchup from the other side

T9o against AKo adds nothing new: it is 36.91% for T9o and 63.09% for AKo, the same figures reversed.

Try AsKh against Td9c 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

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 144 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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