Hand odds / AQ vs 33

AQ vs 33: odds and equity

In short

33 wins 52.8% of the time against AQo all in before the flop, AQo wins 46.7%, and they split the pot 0.5% of the time. 33 is a small favourite. With AQs vs 33 the split is 49.5% to 50.5% in equity.

AQo

47.0%

vs

33

53.0%

Equity: win% plus half of the 0.5% split pots. 33 is a small favourite.

Every suit combination

MatchupHand 1 winsHand 2 winsSplitHand 1 equity
AQs vs 3349.2%50.2%0.6%49.5%
AQo vs 3346.7%52.8%0.5%47.0%

What the flop does to it

When no A or Q comes on the flop (76.3% of flops), 33 has 63.9% equity going to the turn. When one does, 33 drops to 18.1%.

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 33 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 33?
33. All in preflop it has 53.0% equity against AQo: 52.8% wins plus half of the 0.5% split pots. That's a small favourite.
Do suits change the odds?
A little. AQs vs 33 is 49.5% to 50.5%; AQo vs 33 is 47.0% to 53.0%. 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), 33 has 63.9% equity going to the turn. When one does, 33 drops to 18.1%.
When does AQ vs 33 happen in push/fold?
At 10BB in 6-max, the Button shoves AQo always and the Big Blind calls with 33 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 33, 1,712,304 boards each. The numbers are exact, not simulated.

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