99 vs 66: preflop equity

The exact count puts 99 at 81.18% and 66 at 18.82% when the two hands see all five board cards.

99

81.18%

Wins 80.86%, ties 0.64%

66

18.82%

Wins 18.50%, ties 0.64%

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

99 against 66: the numbers

Exact preflop results for 99 against 66, in percent
HandWinsTiesLosesEquity
9980.8610.64418.49581.183
6618.4950.64480.86118.817

Each side holds one of the pocket pairs: 99 and 66. Both hands are pairs, so the bigger pair is ahead on every board that does not pair a card below it.

A gap this wide means 66 is in trouble before the flop and has few good runouts. Ties are part of the picture: 0.64% of boards end in a split pot, and each side counts that as half a win.

Among the 169 starting hands, 99 is number 6 and 66 is number 17 by strength against a random hand.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9949,845,000397,00011,401,000
6611,401,000397,00049,845,000

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.

99 against 66 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
994.3141.2375.4070.232
660.2325.4071.2374.314

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

Across the five flop textures 99's equity moves by 15.78 points, from 70.35% on low rainbow flops (nine high or lower) to 86.13% on paired flops. 99 stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

99 against 66 by flop texture, in percent
FlopShare of flops99 winsTies66 wins99 equity
Rainbow, ten or higher25.84482.6380.37216.99082.824
Rainbow, nine or lower5.06570.0440.62029.33670.354
Two-tone46.36379.9950.40219.60380.196
Monotone5.15274.6731.85723.47075.602
Paired17.57685.4631.33413.20386.130

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

How much does the opponent matter? Compared with its random-hand 72.06%, 99 changes by +9.12 points, and 66, from 63.29%, by -44.47.

99 and 66 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops81.18372.057+9.1261.12665
99, rainbow, ten or higher82.82472.057+10.7671.14942
99, rainbow, nine or lower70.35472.057-1.7030.97637
99, two-tone80.19672.057+8.1391.11295
99, monotone75.60272.057+3.5451.04920
99, paired86.13072.057+14.0731.19530
66, all flops18.81763.285-44.4680.29734
66, rainbow, ten or higher17.17663.285-46.1090.27141
66, rainbow, nine or lower29.64663.285-33.6390.46845
66, two-tone19.80463.285-43.4810.31293
66, monotone24.39863.285-38.8870.38553
66, paired13.87063.285-49.4150.21917

Does a shared suit matter?

Of the deals of this matchup, 30 share a suit (99 at 81.32%) and 6 do not (80.51%). 99 does better with a shared suit, by 0.81 points.

99 against 66 by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTies66 wins99 equity
Share a suit3083.3380.9880.66018.35281.318
No shared suit616.6780.2250.56719.20880.508

How often this matchup comes up

The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. 99 is worth $162.36 on average (+$62.36); 66 is worth $37.64 (-$62.36).

Over a long run, 1,000 deals split into about 809 for 99, 185 for 66 and 6 tied.

The same matchup from the other side

66 against 99 adds nothing new: it is 18.82% for 66 and 81.18% for 99, the same figures reversed.

9s9h 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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