66 vs 55: preflop equity

Before any board card is dealt, 66 holds 81.36% equity against 55, which leaves 55 with 18.64%.

66

81.36%

Wins 80.39%, ties 1.95%

55

18.64%

Wins 17.66%, ties 1.95%

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

66 against 55: the numbers

Exact preflop results for 66 against 55, in percent
HandWinsTiesLosesEquity
6680.3851.94917.66681.359
5517.6661.94980.38518.641

Here pocket pairs face each other, 66 on one side and 55 on the other. Two pairs against each other is a one-way street: the lower pair needs one of its two remaining cards.

66 is a big favorite here before anyone sees a flop. A split pot comes up on 1.95% of boards, so the wins and the equity differ by half of that.

Place 17 of 169 belongs to 66 and place 27 belongs to 55 in the ranking against a random hand.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
6649,552,0001,201,00010,890,000
5510,890,0001,201,00049,552,000

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.

66 against 55 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
664.3651.2445.6610.229
550.2295.6611.2444.365

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

If you know the kind of flop that came, the numbers shift: 66 holds 84.39% on paired flops and 75.42% on low rainbow flops (nine high or lower). 66 stays ahead on all five textures.

66 against 55 by flop texture, in percent
FlopShare of flops66 winsTies55 wins66 equity
Rainbow, ten or higher25.84481.9891.17016.84182.574
Rainbow, nine or lower5.06575.0990.65024.25175.424
Two-tone46.36380.2491.06918.68280.783
Monotone5.15274.6202.68122.69975.961
Paired17.57681.5985.57512.82784.385

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

How much does the opponent matter? Compared with its random-hand 63.29%, 66 changes by +18.07 points, and 55, from 60.33%, by -41.69.

66 and 55 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
66, all flops81.35963.285+18.0741.28560
66, rainbow, ten or higher82.57463.285+19.2891.30480
66, rainbow, nine or lower75.42463.285+12.1391.19181
66, two-tone80.78363.285+17.4981.27650
66, monotone75.96163.285+12.6761.20030
66, paired84.38563.285+21.1001.33341
55, all flops18.64160.325-41.6840.30901
55, rainbow, ten or higher17.42660.325-42.8990.28887
55, rainbow, nine or lower24.57660.325-35.7490.40739
55, two-tone19.21760.325-41.1080.31856
55, monotone24.03960.325-36.2860.39849
55, paired15.61560.325-44.7100.25885

Does a shared suit matter?

Looking only at deals where the hands share a suit, 66 has 81.50%; looking only at deals where they do not, 80.67%. 66 does better with a shared suit, by 0.83 points.

66 against 55 by suit overlap, in percent
DealsSpecific dealsShare of deals66 winsTies55 wins66 equity
Share a suit3083.3380.5151.96317.52281.497
No shared suit616.6779.7341.87518.39180.672

How often this matchup comes up

Counting specific cards, 66 against 55 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

With $100 from each side, the $200 pot is split on average as $162.72 for 66 and $37.28 for 55; the first side gains $62.72 per all-in and the second gives up $62.72.

Over a long run, 1,000 deals split into about 804 for 66, 177 for 55 and 19 tied.

The same matchup from the other side

If you came looking for 55 against 66, the numbers are the same with the hands swapped: 18.64% and 81.36%.

6s6h against 5d5c 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

Method: exact enumeration. The 36 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.

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

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