66 vs 76s: preflop equity

Averaged over every possible board, 66 is ahead of 76s by 21.04 points of equity, 60.52% to 39.48%.

66

60.52%

Wins 59.11%, ties 2.82%

76s

39.48%

Wins 38.07%, ties 2.82%

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

66 against 76s: the numbers

Exact preflop results for 66 against 76s, in percent
HandWinsTiesLosesEquity
6659.1112.82138.06860.521
76s38.0682.82159.11139.479

We compare a pocket pair with a suited hand. One hand holds a card of the same rank as the pair, which removes a card the pair needs and makes the pair a bigger favorite.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. The tie share is 2.82%: on those boards the pot is chopped and neither hand wins outright.

The hand ranking puts 66 at 17 and 76s at 115 out of 169 starting hands.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
6612,146,000580,0007,822,000
76s7,822,000580,00012,146,000

The board total is exact, 12 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 76s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
661.5331.6922.6270.652
76s0.6522.6271.6921.533

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

The flop changes the picture. 66 does best on paired flops, at 65.66%, and worst on low rainbow flops (nine high or lower), at 45.73%. On low rainbow flops (nine high or lower) the numbers flip and 76s is the one ahead.

66 against 76s by flop texture, in percent
FlopShare of flops66 winsTies76s wins66 equity
Rainbow, ten or higher25.78663.3051.80734.88864.209
Rainbow, nine or lower4.99542.6646.12751.20945.727
Two-tone46.23657.1962.33840.46658.365
Monotone5.15256.3443.27040.38657.979
Paired17.83163.4164.48332.10165.658

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

Compared with a random opponent, this matchup shifts 66 from 63.29% by -2.77 points and 76s from 45.37% by -5.89 points.

66 and 76s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
66, all flops60.52163.285-2.7640.95632
66, rainbow, ten or higher64.20963.285+0.9241.01460
66, rainbow, nine or lower45.72763.285-17.5580.72256
66, two-tone58.36563.285-4.9200.92226
66, monotone57.97963.285-5.3060.91616
66, paired65.65863.285+2.3731.03750
76s, all flops39.47945.372-5.8930.87012
76s, rainbow, ten or higher35.79145.372-9.5810.78883
76s, rainbow, nine or lower54.27345.372+8.9011.19618
76s, two-tone41.63545.372-3.7370.91764
76s, monotone42.02145.372-3.3510.92614
76s, paired34.34245.372-11.0300.75690

Does a shared suit matter?

66 and 76s never overlap in suit in a legal deal, so the whole matchup sits in the no-shared-suit row.

66 against 76s by suit overlap, in percent
DealsSpecific dealsShare of deals66 winsTies76s wins66 equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0059.1112.82138.06860.521

How often this matchup comes up

How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are 66 against 76s, and 24 (0.0015%) if either hand may sit in either seat.

A worked example

With $100 from each side, the $200 pot is split on average as $121.04 for 66 and $78.96 for 76s; the first side gains $21.04 per all-in and the second gives up $21.04.

Think in thousands: about 591 of 1,000 go to 66, about 381 go to 76s, and about 28 are chopped.

The same matchup from the other side

Read it from the other side: 76s against 66 is the same matchup with the numbers swapped, so 76s holds 39.48% and 66 holds 60.52%. That address sends you back to this page.

The calculator link fills in 6s6h against 7d6d, 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 12 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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