77 vs AJo: preflop equity

77 against AJo: the numbers

77 and AJo are a pocket pair and an offsuit hand, in that order. 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 10 points of equity, so the result of any one deal is close to a toss-up. Split pots make up 0.37% of the boards, and both equity figures count them as half a win each.

For context, 77 sits at number 9 of 169 starting hands and AJo at number 15 when each is run against a random hand.

The total is exact: 72 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

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

By flop texture, 77's equity runs from 47.50% on rainbow flops topped by a ten or better up to 79.80% on low rainbow flops (nine high or lower). AJo 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

The table below sets each hand against its own random-hand baseline: a change of -11.59 points for 77, from 66.24%, and -18.21 for AJo, from 63.56%.

Does a shared suit matter?

When the hands share a suit, 77 holds 54.57%; when they do not, it holds 55.06%. 77 does better with no shared suit, by 0.49 points.

How often this matchup comes up

77 against AJo is made up of 72 specific-card matchups in one seat order, 0.0044% of the 1,624,350 ordered deals, and 144 counting both seat orders, 0.0089%.

A worked example

With $100 from each side, the $200 pot is split on average as $109.30 for 77 and $90.70 for AJo; the first side gains $9.30 per all-in and the second gives up $9.30.

In 1,000 deals of exactly this matchup, expect about 544 won outright by 77, about 452 won outright by AJo and about 4 split.

The same matchup from the other side

AJo against 77 adds nothing new: it is 45.35% for AJo and 54.65% for 77, the same figures reversed.

Keep exploring

Try 7s7h against AdJc 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 7s7h against AdJc in the equity calculator
• 77 combos
• AJo combos
• 77 vs KQs
• 77 vs 66
• AQs vs AJo
• All hand matchups