QQ vs 66: preflop equity

Before any board card is dealt, QQ holds 80.53% equity against 66, which leaves 66 with 19.47%.

QQ

80.53%

Wins 80.36%, ties 0.34%

66

19.47%

Wins 19.30%, ties 0.34%

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

QQ against 66: the numbers

Exact preflop results for QQ against 66, in percent
HandWinsTiesLosesEquity
QQ80.3550.34319.30280.527
6619.3020.34380.35519.473

Two pocket pairs meet here: QQ against 66. Two pairs against each other is a one-way street: the lower pair needs one of its two remaining cards.

QQ is a big favorite here before anyone sees a flop. Split pots make up 0.34% of the boards, and both equity figures count them as half a win each.

For context, QQ sits at number 3 of 169 starting hands and 66 at number 17 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
QQ49,533,000211,00011,898,000
6611,898,000211,00049,533,000

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.

QQ against 66 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
QQ4.1351.2445.1810.242
660.2425.1811.2444.135

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

The flop changes the picture. QQ does best on paired flops, at 86.40%, and worst on low rainbow flops (nine high or lower), at 65.07%. 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 66 by flop texture, in percent
FlopShare of flopsQQ winsTies66 winsQQ equity
Rainbow, ten or higher24.59583.6150.16416.22183.697
Rainbow, nine or lower6.31464.6790.78134.54065.069
Two-tone46.36379.2020.28020.51879.342
Monotone5.15274.1051.73624.15974.973
Paired17.57686.3020.19313.50586.399

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

How much does the opponent matter? Compared with its random-hand 79.93%, QQ changes by +0.60 points, and 66, from 63.29%, by -43.82.

QQ and 66 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
QQ, all flops80.52779.925+0.6021.00753
QQ, rainbow, ten or higher83.69779.925+3.7721.04719
QQ, rainbow, nine or lower65.06979.925-14.8560.81413
QQ, two-tone79.34279.925-0.5830.99271
QQ, monotone74.97379.925-4.9520.93804
QQ, paired86.39979.925+6.4741.08100
66, all flops19.47363.285-43.8120.30770
66, rainbow, ten or higher16.30363.285-46.9820.25761
66, rainbow, nine or lower34.93163.285-28.3540.55196
66, two-tone20.65863.285-42.6270.32643
66, monotone25.02763.285-38.2580.39546
66, paired13.60163.285-49.6840.21492

Does a shared suit matter?

The suit split reads 80.66% for QQ with a shared suit and 79.87% without one. QQ does better with a shared suit, by 0.79 points.

QQ against 66 by suit overlap, in percent
DealsSpecific dealsShare of dealsQQ winsTies66 winsQQ equity
Share a suit3083.3380.4790.35919.16280.659
No shared suit616.6779.7360.26519.99979.869

How often this matchup comes up

Counting specific cards, QQ against 66 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: QQ averages $161.06 back, ahead of its $100 by $61.06, while 66 averages $38.94, short of its $100 by $61.06.

Scaled to 1,000 deals, that is roughly 804 wins for QQ, 193 for 66 and 3 chopped pots.

The same matchup from the other side

If you came looking for 66 against QQ, the numbers are the same with the hands swapped: 19.47% and 80.53%.

QsQh against 6d6c is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

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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