Hand odds / AQ vs 77

AQ vs 77: odds and equity

In short

77 wins 54.3% of the time against AQo all in before the flop, AQo wins 45.3%, and they split the pot 0.4% of the time. 77 is a small favourite. With AQs vs 77 the split is 48.1% to 51.9% in equity.

AQo

45.5%

vs

77

54.5%

Equity: win% plus half of the 0.4% split pots. 77 is a small favourite.

Every suit combination

MatchupHand 1 winsHand 2 winsSplitHand 1 equity
AQs vs 7747.9%51.7%0.4%48.1%
AQo vs 7745.3%54.3%0.4%45.5%

What the flop does to it

When no A or Q comes on the flop (76.3% of flops), 77 has 65.9% equity going to the turn. When one does, 77 drops to 17.8%.

AQo has two overcards, so six cards in the deck pair it. That's why it's a race rather than a big favourite: plenty of flops give AQo a pair.

When this all-in happens in push/fold

At 10BB in 6-max, the Button shoves AQo always and the Big Blind calls with 77 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, AQ or 77?
77. All in preflop it has 54.5% equity against AQo: 54.3% wins plus half of the 0.4% split pots. That's a small favourite.
Do suits change the odds?
A little. AQs vs 77 is 48.1% to 51.9%; AQo vs 77 is 45.5% to 54.5%. Suited hands make more flushes, which is worth a few percent.
What happens on the flop?
When no A or Q comes on the flop (76.3% of flops), 77 has 65.9% equity going to the turn. When one does, 77 drops to 17.8%.
When does AQ vs 77 happen in push/fold?
At 10BB in 6-max, the Button shoves AQo always and the Big Blind calls with 77 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: 72 card combinations for AQo vs 77, 1,712,304 boards each. The numbers are exact, not simulated.

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