99 vs AJo: preflop equity

Before any board card is dealt, 99 holds 55.46% equity against AJo, which leaves AJo with 44.54%.

99

55.46%

Wins 55.27%, ties 0.38%

AJo

44.54%

Wins 44.35%, ties 0.38%

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

99 against AJo: the numbers

Exact preflop results for 99 against AJo, in percent
HandWinsTiesLosesEquity
9955.2690.37844.35355.458
AJo44.3530.37855.26944.542

We compare a pocket pair with an offsuit hand. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.

A 10.92 point lead is real, and AJo still takes about 443 of every 1,000 deals outright. A split pot comes up on 0.38% of boards, so the wins and the equity differ by half of that.

By strength against a random hand, 99 holds place 6 of 169 and AJo holds place 15.

Boards behind the percentages: 123,285,888 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9968,139,000466,00054,681,000
AJo54,681,000466,00068,139,000

The board total is exact, 72 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

99 against AJo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
991.2451.8092.2550.803
AJo0.8032.2551.8091.245

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

Break the boards down by their first three cards and 99 is strongest on low rainbow flops (nine high or lower) (79.38%) and weakest on rainbow flops topped by a ten or better (48.34%). The lead reverses on rainbow flops topped by a ten or better: there AJo is the favorite even though 99 is ahead overall.

99 against AJo by flop texture, in percent
FlopShare of flops99 winsTiesAJo wins99 equity
Rainbow, ten or higher24.71748.2640.15751.57948.342
Rainbow, nine or lower6.31478.8771.00820.11579.381
Two-tone46.48554.1610.31745.52254.319
Monotone5.15150.8761.70247.42251.727
Paired17.33360.9380.23638.82661.056

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

Relative to a random opponent, 99 changes by -16.60 points (baseline 72.06%) and AJo by -19.02 points (baseline 63.56%).

99 and AJo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops55.45872.057-16.5990.76964
99, rainbow, ten or higher48.34272.057-23.7150.67089
99, rainbow, nine or lower79.38172.057+7.3241.10164
99, two-tone54.31972.057-17.7380.75383
99, monotone51.72772.057-20.3300.71786
99, paired61.05672.057-11.0010.84733
AJo, all flops44.54263.563-19.0210.70075
AJo, rainbow, ten or higher51.65863.563-11.9050.81271
AJo, rainbow, nine or lower20.61963.563-42.9440.32439
AJo, two-tone45.68163.563-17.8820.71867
AJo, monotone48.27363.563-15.2900.75945
AJo, paired38.94463.563-24.6190.61268

Does a shared suit matter?

When the hands share a suit, 99 holds 55.38%; when they do not, it holds 55.87%. 99 does better with no shared suit, by 0.49 points.

99 against AJo by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTiesAJo wins99 equity
Share a suit6083.3355.1790.39444.42755.376
No shared suit1216.6755.7210.29843.98155.870

How often this matchup comes up

You will meet this exact matchup 0.0089% of the time in a random heads-up deal: 144 of 1,624,350, counting either seat order.

A worked example

Put $100 each into a $200 pot and deal every board once: 99 averages $110.92 back, ahead of its $100 by $10.92, while AJo averages $89.08, short of its $100 by $10.92.

A thousand deals look like this: 99 takes 553, AJo takes 443, 4 are ties.

The same matchup from the other side

If you came looking for AJo against 99, the numbers are the same with the hands swapped: 44.54% and 55.46%.

The calculator link fills in 9s9h against AdJc, 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 72 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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