Hand odds / AK vs A2

AK vs A2: odds and equity

In short

AKo wins 71.6% of the time against A2o all in before the flop, A2o wins 23.4%, and they split the pot 5.0% of the time. AKo is a clear favourite, about 3 to 1. With AKo vs A2s the split is 69.8% to 30.2% in equity.

AKo

74.1%

vs

A2o

25.9%

Equity: win% plus half of the 5.0% split pots. AKo is a clear favourite, about 3 to 1.

Every suit combination

MatchupHand 1 winsHand 2 winsSplitHand 1 equity
AKs vs A2s68.9%26.7%4.5%71.1%
AKs vs A2o72.9%22.4%4.7%75.3%
AKo vs A2s67.5%27.8%4.7%69.8%
AKo vs A2o71.6%23.4%5.0%74.1%

What the flop does to it

When no 2 comes on the flop (87.8% of flops), AKo has 80.6% equity going to the turn. When one does, AKo drops to 27.1%.

A2o shares a card with AKo, so pairing that card doesn't help: it needs its other card to come. Domination like this is why calling with weaker hands of the same kind costs so much.

When this all-in happens in push/fold

At 10BB in 6-max, the Button shoves AKo always and the Big Blind calls with A2o 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, AK or A2?
AKo. All in preflop it has 74.1% equity against A2o: 71.6% wins plus half of the 5.0% split pots. That's a clear favourite, about 3 to 1.
Do suits change the odds?
A little. AKs vs A2s is 71.1% to 28.9%; AKs vs A2o is 75.3% to 24.7%; AKo vs A2s is 69.8% to 30.2%; AKo vs A2o is 74.1% to 25.9%. Suited hands make more flushes, which is worth a few percent.
What happens on the flop?
When no 2 comes on the flop (87.8% of flops), AKo has 80.6% equity going to the turn. When one does, AKo drops to 27.1%.
When does AK vs A2 happen in push/fold?
At 10BB in 6-max, the Button shoves AKo always and the Big Blind calls with A2o 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: 108 card combinations for AKo vs A2o, 1,712,304 boards each. The numbers are exact, not simulated.

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