77 vs 66: preflop equity

Averaged over every possible board, 77 is ahead of 66 by 63.28 points of equity, 81.64% to 18.36%.

77

81.64%

Wins 80.97%, ties 1.34%

66

18.36%

Wins 17.69%, ties 1.34%

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

77 against 66: the numbers

Exact preflop results for 77 against 66, in percent
HandWinsTiesLosesEquity
7780.9731.33817.68981.642
6617.6891.33880.97318.358

Two pocket pairs meet here: 77 against 66. A pair against a smaller pair is the classic crush: the smaller pair needs one of its two remaining cards to make a set.

This is one of the lopsided matchups: 66 wins only 17.69% of the boards outright. A split pot comes up on 1.34% of boards, so the wins and the equity differ by half of that.

By strength against a random hand, 77 holds place 9 of 169 and 66 holds place 17.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
7749,914,000825,00010,904,000
6610,904,000825,00049,914,000

The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

77 against 66 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
774.4471.2355.6530.225
660.2255.6531.2354.447

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

77 prefers paired flops, where it holds 85.26%, and likes low rainbow flops (nine high or lower) least, where it holds 74.05%. 77 stays ahead on all five textures.

77 against 66 by flop texture, in percent
FlopShare of flops77 winsTies66 wins77 equity
Rainbow, ten or higher25.84482.6190.82516.55683.032
Rainbow, nine or lower5.06573.8520.39925.74974.051
Two-tone46.36380.5690.74218.68980.940
Monotone5.15274.9942.22222.78476.105
Paired17.57683.4253.67312.90285.262

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

Each hand has a baseline against a random hand: 66.24% for 77, 63.29% for 66. Here the change is +15.40 and -44.93 points.

77 and 66 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
77, all flops81.64266.236+15.4061.23259
77, rainbow, ten or higher83.03266.236+16.7961.25358
77, rainbow, nine or lower74.05166.236+7.8151.11799
77, two-tone80.94066.236+14.7041.22199
77, monotone76.10566.236+9.8691.14900
77, paired85.26266.236+19.0261.28725
66, all flops18.35863.285-44.9270.29008
66, rainbow, ten or higher16.96863.285-46.3170.26812
66, rainbow, nine or lower25.94963.285-37.3360.41003
66, two-tone19.06063.285-44.2250.30118
66, monotone23.89563.285-39.3900.37758
66, paired14.73863.285-48.5470.23288

Does a shared suit matter?

When the hands share a suit, 77 holds 81.78%; when they do not, it holds 80.95%. 77 does better with a shared suit, by 0.83 points.

77 against 66 by suit overlap, in percent
DealsSpecific dealsShare of deals77 winsTies66 wins77 equity
Share a suit3083.3381.1041.35317.54381.780
No shared suit616.6780.3211.26218.41780.952

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

Worked example: both players commit $100, so $200 sits in the middle. Over every board, 77's average share is $163.28 (a gain of $63.28) and 66's is $36.72 (a loss of $63.28).

Per 1,000 deals: 77 wins about 810, 66 wins about 177, and about 13 end in a split pot.

The same matchup from the other side

If you came looking for 66 against 77, the numbers are the same with the hands swapped: 18.36% and 81.64%.

7s7h 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 36 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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