Hand odds / 77 vs 55

77 vs 55: odds and equity

In short

77 wins 80.5% of the time against 55 all in before the flop, 55 wins 18.1%, and they split the pot 1.4% of the time. That makes 77 a big favourite, about 4 to 1.

77

81.2%

vs

55

18.8%

Equity: win% plus half of the 1.4% split pots. 77 is a big favourite, about 4 to 1.

What the flop does to it

When no 5 comes on the flop (91.8% of flops), 77 has 86.7% equity going to the turn. When one does, 77 drops to 20.9%.

55 is drawing to two cards, its own rank, so this is mostly about whether a set comes. Straights and flushes make up most of the rest of 55's wins.

When this all-in happens in push/fold

At 10BB in 6-max, the Button shoves 77 always and the Big Blind calls with 55 always, so this exact all-in comes straight off the charts.

How often each hand shoves or calls in our solved 6-max chip-EV charts. A row with both columns high is a spot where this exact all-in is correct for both players. See every chart.

Common questions

Who is the favourite, 77 or 55?
77. All in preflop it has 81.2% equity against 55: 80.5% wins plus half of the 1.4% split pots. That's a big favourite, about 4 to 1.
What happens on the flop?
When no 5 comes on the flop (91.8% of flops), 77 has 86.7% equity going to the turn. When one does, 77 drops to 20.9%.
When does 77 vs 55 happen in push/fold?
At 10BB in 6-max, the Button shoves 77 always and the Big Blind calls with 55 always, so this exact all-in comes straight off the charts.
How were these odds worked out?
By counting every possible five-card board for every combination of suits: 36 card combinations for 77 vs 55, 1,712,304 boards each. The numbers are exact, not simulated.

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