Hand odds / AT vs 33

AT vs 33: odds and equity

In short

33 wins 52.1% of the time against ATo all in before the flop, ATo wins 47.4%, and they split the pot 0.5% of the time. 33 is a coin flip. With ATs vs 33 the split is 50.2% to 49.8% in equity.

ATo

47.7%

vs

33

52.3%

Equity: win% plus half of the 0.5% split pots. 33 is a coin flip.

Every suit combination

MatchupHand 1 winsHand 2 winsSplitHand 1 equity
ATs vs 3349.9%49.6%0.6%50.2%
ATo vs 3347.4%52.1%0.5%47.7%

What the flop does to it

When no A or 10 comes on the flop (76.3% of flops), 33 has 62.9% equity going to the turn. When one does, 33 drops to 18.1%.

ATo 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 ATo a pair.

When this all-in happens in push/fold

At 10BB in 6-max, the Button shoves ATo 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, AT or 33?
33. All in preflop it has 52.3% equity against ATo: 52.1% wins plus half of the 0.5% split pots. That's a coin flip.
Do suits change the odds?
A little. ATs vs 33 is 50.2% to 49.8%; ATo vs 33 is 47.7% to 52.3%. Suited hands make more flushes, which is worth a few percent.
What happens on the flop?
When no A or 10 comes on the flop (76.3% of flops), 33 has 62.9% equity going to the turn. When one does, 33 drops to 18.1%.
When does AT vs 33 happen in push/fold?
At 10BB in 6-max, the Button shoves ATo 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 ATo vs 33, 1,712,304 boards each. The numbers are exact, not simulated.

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