AKs vs 77: preflop equity

AKs against 77: the numbers

We compare a suited hand with a pocket pair. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.

77 leads by less than 5 points of equity, so the result of any one deal is close to a toss-up. Split pots make up 0.39% of the boards, and both equity figures count them as half a win each.

In the ranking of all 169 starting hands, AKs is number 8 and 77 is number 9.

24 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.

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

If you know the kind of flop that came, the numbers shift: 77 holds 77.53% on low rainbow flops (nine high or lower) and 46.43% on rainbow flops topped by a ten or better. AKs takes over on rainbow flops topped by a ten or better, so the favorite before the flop is the underdog on those boards.

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 67.05%, AKs changes by -19.36 points, and 77, from 66.24%, by -13.93.

Does a shared suit matter?

Two kinds of deal exist here. In 12 of them the hands share a suit and 77 holds 52.50%. In 12 they do not, and it holds 52.12%. 77 does better with a shared suit, by 0.38 points.

How often this matchup comes up

This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says 77 gets $104.62 of it on average and AKs gets $95.38.

Run 1,000 deals and the tally comes out near 521 for 77, 475 for AKs and 4 ties.

The same matchup from the other side

Swap the hands and you get 77 with 52.31% against AKs with 47.69%. We keep one page per matchup, with the better-ranked hand first.

Keep exploring

Try AsKs against 7h7d in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.

• Open AsKs against 7h7d in the equity calculator
• AKs combos
• 77 combos
• AKs vs AQs
• AKs vs AJs
• 88 vs 77
• All hand matchups