QQ vs 99: preflop equity

Averaged over every possible board, QQ is ahead of 99 by 62.38 points of equity, 81.19% to 18.81%.

QQ

81.19%

Wins 80.99%, ties 0.40%

99

18.81%

Wins 18.61%, ties 0.40%

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

QQ against 99: the numbers

Exact preflop results for QQ against 99, in percent
HandWinsTiesLosesEquity
QQ80.9920.39618.61281.190
9918.6120.39680.99218.810

Here pocket pairs face each other, QQ on one side and 99 on the other. A pair against a smaller pair is the classic crush: the smaller pair needs one of its two remaining cards to make a set.

A gap this wide means 99 is in trouble before the flop and has few good runouts. A split pot comes up on 0.40% of boards, so the wins and the equity differ by half of that.

For context, QQ sits at number 3 of 169 starting hands and 99 at number 6 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
QQ49,926,000244,00011,473,000
9911,473,000244,00049,926,000

36 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.

QQ against 99 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
QQ4.3161.2355.3730.232
990.2325.3731.2354.316

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

Across the five flop textures QQ's equity moves by 17.08 points, from 69.40% on low rainbow flops (nine high or lower) to 86.48% on paired flops. QQ stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

QQ against 99 by flop texture, in percent
FlopShare of flopsQQ winsTies99 winsQQ equity
Rainbow, ten or higher24.59583.5310.17316.29683.618
Rainbow, nine or lower6.31468.8461.10130.05369.396
Two-tone46.36379.9580.34819.69480.132
Monotone5.15274.6761.72623.59875.539
Paired17.57686.3800.19413.42686.477

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

Against one random hand instead, QQ holds 79.93% and 99 holds 72.06%. Facing each other changes that by +1.26 points for QQ and -53.25 points for 99.

QQ and 99 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
QQ, all flops81.19079.925+1.2651.01583
QQ, rainbow, ten or higher83.61879.925+3.6931.04621
QQ, rainbow, nine or lower69.39679.925-10.5290.86826
QQ, two-tone80.13279.925+0.2071.00259
QQ, monotone75.53979.925-4.3860.94512
QQ, paired86.47779.925+6.5521.08198
99, all flops18.81072.057-53.2470.26104
99, rainbow, ten or higher16.38272.057-55.6750.22735
99, rainbow, nine or lower30.60472.057-41.4530.42472
99, two-tone19.86872.057-52.1890.27573
99, monotone24.46172.057-47.5960.33947
99, paired13.52372.057-58.5340.18767

Does a shared suit matter?

Looking only at deals where the hands share a suit, QQ has 81.33%; looking only at deals where they do not, 80.52%. QQ does better with a shared suit, by 0.81 points.

QQ against 99 by suit overlap, in percent
DealsSpecific dealsShare of dealsQQ winsTies99 winsQQ equity
Share a suit3083.3381.1190.41218.46981.325
No shared suit616.6780.3580.31619.32680.516

How often this matchup comes up

Counting specific cards, QQ against 99 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

Say each player puts $100 in before the flop, making a $200 pot. On average QQ takes back $162.38 of it, which is $62.38 more than it put in, and 99 takes back $37.62, $62.38 less than it put in.

In 1,000 deals of exactly this matchup, expect about 810 won outright by QQ, about 186 won outright by 99 and about 4 split.

The same matchup from the other side

99 against QQ adds nothing new: it is 18.81% for 99 and 81.19% for QQ, the same figures reversed.

Open the calculator with QsQh against 9d9c already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

Each figure is a complete count over boards. Take the 36 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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