A6s vs 76s: preflop equity

Counting every board, the equity split is 66.97% for A6s and 33.03% for 76s, so A6s leads by 33.94 points.

A6s

66.97%

Wins 65.97%, ties 2.01%

76s

33.03%

Wins 32.02%, ties 2.01%

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

A6s against 76s: the numbers

Exact preflop results for A6s against 76s, in percent
HandWinsTiesLosesEquity
A6s65.9652.01032.02566.970
76s32.0252.01065.96533.030

Each side holds one of the suited hands: A6s and 76s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

A lead of 33.94 points is large but not decisive: 76s still takes about 320 of every 1,000 deals. Split pots make up 2.01% of the boards, and both equity figures count them as half a win each.

Ranked by equity against a random hand, A6s is number 31 of the 169 starting hands and 76s is number 115.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A6s13,554,000413,0006,580,000
76s6,580,000413,00013,554,000

Exact total: 12 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

A6s against 76s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A6s2.0281.5163.1230.493
76s0.4933.1231.5162.028

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

By flop texture, A6s' equity runs from 48.48% on low rainbow flops (nine high or lower) up to 71.86% on paired flops. 76s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.

A6s against 76s by flop texture, in percent
FlopShare of flopsA6s winsTies76s winsA6s equity
Rainbow, ten or higher25.25471.2121.15627.63271.790
Rainbow, nine or lower5.65445.7375.48548.77848.479
Two-tone46.54364.5771.70733.71665.430
Monotone5.21559.0774.17036.75361.162
Paired17.33470.7182.28326.99971.859

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

The table below sets each hand against its own random-hand baseline: a change of +7.06 points for A6s, from 59.91%, and -12.34 for 76s, from 45.37%.

A6s and 76s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A6s, all flops66.97059.906+7.0641.11792
A6s, rainbow, ten or higher71.79059.906+11.8841.19838
A6s, rainbow, nine or lower48.47959.906-11.4270.80925
A6s, two-tone65.43059.906+5.5241.09221
A6s, monotone61.16259.906+1.2561.02097
A6s, paired71.85959.906+11.9531.19953
76s, all flops33.03045.372-12.3420.72798
76s, rainbow, ten or higher28.21045.372-17.1620.62175
76s, rainbow, nine or lower51.52145.372+6.1491.13552
76s, two-tone34.57045.372-10.8020.76192
76s, monotone38.83845.372-6.5340.85599
76s, paired28.14145.372-17.2310.62023

Does a shared suit matter?

The hands cannot hold a suit in common here, which leaves a single case and a single number: 66.97% for A6s.

A6s against 76s by suit overlap, in percent
DealsSpecific dealsShare of dealsA6s winsTies76s winsA6s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0065.9652.01032.02566.970

How often this matchup comes up

How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are A6s against 76s, and 24 (0.0015%) if either hand may sit in either seat.

A worked example

Put $100 each into a $200 pot and deal every board once: A6s averages $133.94 back, ahead of its $100 by $33.94, while 76s averages $66.06, short of its $100 by $33.94.

Out of 1,000 deals you should see around 660 outright wins for A6s, 320 for 76s, and 20 split pots.

The same matchup from the other side

One page covers both views. From 76s' side the equity is 33.03%, and from A6s' side it is 66.97%.

As6s against 7h6h 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 12 specific deals of A6s against 76s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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