99 vs AJs: preflop equity

Before any board card is dealt, 99 holds 52.77% equity against AJs, which leaves AJs with 47.23%.

99

52.77%

Wins 52.57%, ties 0.40%

AJs

47.23%

Wins 47.03%, ties 0.40%

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

99 against AJs: the numbers

Exact preflop results for 99 against AJs, in percent
HandWinsTiesLosesEquity
9952.5740.40047.02652.774
AJs47.0260.40052.57447.226

The first hand is a pocket pair; the second is a suited hand. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.

99 leads by less than 6 points of equity, so the result of any one deal is close to a toss-up. Ties are 0.40% 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 AJs at number 11 when each is run against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9921,605,000164,00019,325,000
AJs19,325,000164,00021,605,000

24 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.

99 against AJs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
991.1171.9022.1260.895
AJs0.8952.1261.9021.117

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

Split by what the flop looks like, 99 peaks at 76.71% on low rainbow flops (nine high or lower) and bottoms out at 46.86% on rainbow flops topped by a ten or better. Watch for rainbow flops topped by a ten or better: on those flops AJs holds the better equity.

99 against AJs by flop texture, in percent
FlopShare of flops99 winsTiesAJs wins99 equity
Rainbow, ten or higher24.59546.7830.15253.06546.859
Rainbow, nine or lower6.31476.2240.96622.81076.707
Two-tone46.54550.5420.29349.16550.688
Monotone5.21250.4832.38747.13051.677
Paired17.33458.2620.23741.50158.380

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

Each hand has a baseline against a random hand: 72.06% for 99, 65.39% for AJs. Here the change is -19.29 and -18.16 points.

99 and AJs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops52.77472.057-19.2830.73239
99, rainbow, ten or higher46.85972.057-25.1980.65030
99, rainbow, nine or lower76.70772.057+4.6501.06453
99, two-tone50.68872.057-21.3690.70344
99, monotone51.67772.057-20.3800.71717
99, paired58.38072.057-13.6770.81019
AJs, all flops47.22665.393-18.1670.72219
AJs, rainbow, ten or higher53.14165.393-12.2520.81264
AJs, rainbow, nine or lower23.29365.393-42.1000.35620
AJs, two-tone49.31265.393-16.0810.75409
AJs, monotone48.32365.393-17.0700.73896
AJs, paired41.62065.393-23.7730.63646

Does a shared suit matter?

When the hands share a suit, 99 holds 52.94%; when they do not, it holds 52.60%. 99 does better with a shared suit, by 0.34 points.

99 against AJs by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTiesAJs wins99 equity
Share a suit1250.0052.7230.44346.83452.944
No shared suit1250.0052.4240.35847.21852.603

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 24 are 99 in one seat and AJs in the other (0.0015%); with the seats swapped too, 48 (0.0030%).

A worked example

Take a $200 pot built from $100 each. 99's equity of 52.77% is worth $105.54, a $5.54 edge, and AJs' 47.23% is worth $94.46, which is $5.54 under its stake.

Over a long run, 1,000 deals split into about 526 for 99, 470 for AJs and 4 tied.

The same matchup from the other side

The reversed view, AJs against 99, shows 47.23% for AJs and 52.77% for 99. It is the same count, so it redirects here.

The calculator link fills in 9s9h against AdJd, 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

This is an exact count with no sampling. For the 24 ways to deal one 99 and one AJs without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

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