66 vs Q9s: preflop equity

Averaged over every possible board, 66 is ahead of Q9s by 2.22 points of equity, 51.11% to 48.89%.

66

51.11%

Wins 50.83%, ties 0.56%

Q9s

48.89%

Wins 48.61%, ties 0.56%

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

66 against Q9s: the numbers

Exact preflop results for 66 against Q9s, in percent
HandWinsTiesLosesEquity
6650.8260.55948.61551.105
Q9s48.6150.55950.82648.895

The matchup pits a pocket pair against a suited 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.

66 leads by less than 3 points of equity, so the result of any one deal is close to a toss-up. Split pots make up 0.56% of the boards, and both equity figures count them as half a win each.

In the ranking of all 169 starting hands, 66 is number 17 and Q9s is number 43.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
6620,887,000230,00019,978,000
Q9s19,978,000230,00020,887,000

The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

66 against Q9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
661.0451.9672.0570.957
Q9s0.9572.0571.9671.045

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

Low rainbow flops (nine high or lower) are the best for 66 (62.20%); rainbow flops topped by a ten or better are the worst (49.09%). The lead reverses on rainbow flops topped by a ten or better and two-tone flops: there Q9s is the favorite even though 66 is ahead overall.

66 against Q9s by flop texture, in percent
FlopShare of flops66 winsTiesQ9s wins66 equity
Rainbow, ten or higher25.22048.9520.27750.77149.090
Rainbow, nine or lower5.68961.9130.57737.51062.201
Two-tone46.54549.2030.31550.48249.361
Monotone5.21249.4352.50248.06350.686
Paired17.33454.6861.03644.27855.204

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, 66 changes by -12.18 points (baseline 63.29%) and Q9s by -8.77 points (baseline 57.66%).

66 and Q9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
66, all flops51.10563.285-12.1800.80754
66, rainbow, ten or higher49.09063.285-14.1950.77570
66, rainbow, nine or lower62.20163.285-1.0840.98287
66, two-tone49.36163.285-13.9240.77998
66, monotone50.68663.285-12.5990.80092
66, paired55.20463.285-8.0810.87231
Q9s, all flops48.89557.664-8.7690.84793
Q9s, rainbow, ten or higher50.91057.664-6.7540.88287
Q9s, rainbow, nine or lower37.79957.664-19.8650.65550
Q9s, two-tone50.63957.664-7.0250.87817
Q9s, monotone49.31457.664-8.3500.85520
Q9s, paired44.79657.664-12.8680.77685

Does a shared suit matter?

Does suit overlap move the numbers? 66 has 51.26% when the hands share a suit and 50.95% when they do not. 66 does better with a shared suit, by 0.31 points.

66 against Q9s by suit overlap, in percent
DealsSpecific dealsShare of deals66 winsTiesQ9s wins66 equity
Share a suit1250.0050.9620.60148.43751.262
No shared suit1250.0050.6890.51748.79450.948

How often this matchup comes up

How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are 66 against Q9s, and 48 (0.0030%) if either hand may sit in either seat.

A worked example

Take a $200 pot built from $100 each. 66's equity of 51.11% is worth $102.22, a $2.22 edge, and Q9s' 48.89% is worth $97.78, which is $2.22 under its stake.

Out of 1,000 deals you should see around 508 outright wins for 66, 486 for Q9s, and 6 split pots.

The same matchup from the other side

Swap the hands and you get Q9s with 48.89% against 66 with 51.11%. We keep one page per matchup, with the better-ranked hand first.

The calculator link fills in 6s6h against Qd9d, 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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