99 vs A9o: preflop equity

Dealt all in against each other, 99 takes 70.45% of the pot on average and A9o takes the other 29.55%.

99

70.45%

Wins 69.31%, ties 2.28%

A9o

29.55%

Wins 28.41%, ties 2.28%

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

99 against A9o: the numbers

Exact preflop results for 99 against A9o, in percent
HandWinsTiesLosesEquity
9969.3102.28228.40870.451
A9o28.4082.28269.31029.549

The matchup pits a pocket pair against an offsuit hand. The pair already holds one of the other hand's ranks, and that overlap cuts down the cards the other hand can pair with.

That is a clear edge, 70.45% to 29.55%, but A9o still wins often enough that one hand proves nothing. Ties are 2.28% of the outcomes here; each tied board gives both hands half the pot.

For context, 99 sits at number 6 of 169 starting hands and A9o at number 25 when each is run against a random hand.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9942,725,0001,407,00017,512,000
A9o17,512,0001,407,00042,725,000

Exact total: 36 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.

99 against A9o read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
992.3841.4433.5200.419
A9o0.4193.5201.4432.384

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

The flop changes the picture. 99 does best on low rainbow flops (nine high or lower), at 85.02%, and worst on monotone flops, at 63.18%. 99 stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

99 against A9o by flop texture, in percent
FlopShare of flops99 winsTiesA9o wins99 equity
Rainbow, ten or higher25.23965.9642.22331.81367.076
Rainbow, nine or lower5.58582.8354.36212.80385.016
Two-tone46.21568.2182.48929.29369.463
Monotone5.13061.8332.68835.47963.177
Paired17.83174.7921.06024.14875.322

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

A random hand would give 99 72.06% and A9o 60.77%. Against each other the change is -1.61 points for 99 and -31.22 for A9o.

99 and A9o here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops70.45172.057-1.6060.97771
99, rainbow, ten or higher67.07672.057-4.9810.93087
99, rainbow, nine or lower85.01672.057+12.9591.17984
99, two-tone69.46372.057-2.5940.96400
99, monotone63.17772.057-8.8800.87676
99, paired75.32272.057+3.2651.04531
A9o, all flops29.54960.773-31.2240.48622
A9o, rainbow, ten or higher32.92460.773-27.8490.54175
A9o, rainbow, nine or lower14.98460.773-45.7890.24656
A9o, two-tone30.53760.773-30.2360.50248
A9o, monotone36.82360.773-23.9500.60591
A9o, paired24.67860.773-36.0950.40607

Does a shared suit matter?

Does suit overlap move the numbers? 99 has 70.40% when the hands share a suit and 70.56% when they do not. The two rows differ by only 0.16 points, so suits barely change this matchup.

99 against A9o by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTiesA9o wins99 equity
Share a suit2466.6769.2362.31828.44670.395
No shared suit1233.3369.4592.21028.33170.564

How often this matchup comes up

Counting specific cards, 99 against A9o appears in 36 of the 1,624,350 ordered heads-up deals (0.0022%), and in 72 when the seats are swapped too (0.0044%).

A worked example

Put $100 each into a $200 pot and deal every board once: 99 averages $140.90 back, ahead of its $100 by $40.90, while A9o averages $59.10, short of its $100 by $40.90.

Scaled to 1,000 deals, that is roughly 693 wins for 99, 284 for A9o and 23 chopped pots.

The same matchup from the other side

Swap the hands and you get A9o with 29.55% against 99 with 70.45%. We keep one page per matchup, with the better-ranked hand first.

Try 9s9h against Ad9c 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

We counted every case. Each suit pattern of the 36 specific 99 against A9o deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

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