77 vs 33: preflop equity

77 against 33: the numbers

The matchup is pocket pairs on both sides, 77 against 33. 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: 33 wins only 17.90% of the boards outright. Ties are part of the picture: 1.43% of boards end in a split pot, and each side counts that as half a win.

For context, 77 sits at number 9 of 169 starting hands and 33 at number 66 when each is run against a random hand.

Exact total: 36 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.

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

Across the five flop textures 77's equity moves by 11.07 points, from 74.26% on low rainbow flops (nine high or lower) to 85.33% on paired flops. 77 stays ahead on all five textures.

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

How much does the opponent matter? Compared with its random-hand 66.24%, 77 changes by +15.15 points, and 33, from 53.69%, by -35.08.

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common 77 has 81.52% equity, and with none in common it has 80.71%. 77 does better with a shared suit, by 0.81 points.

How often this matchup comes up

Counting specific cards, 77 against 33 appears in 36 of the 1,624,350 ordered heads-up deals (0.0022%), and in 72 when the seats are swapped too (0.0044%).

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average 77 takes back $162.78 of it, which is $62.78 more than it put in, and 33 takes back $37.22, $62.78 less than it put in.

A thousand deals look like this: 77 takes 807, 33 takes 179, 14 are ties.

The same matchup from the other side

Read it from the other side: 33 against 77 is the same matchup with the numbers swapped, so 33 holds 18.61% and 77 holds 81.39%. That address sends you back to this page.

Keep exploring

Try 7s7h against 3d3c 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 3d3c in the equity calculator
• 77 combos
• 33 combos
• 77 vs T8s
• 77 vs T9o
• AQs vs 33
• All hand matchups