Hand odds / AK vs A9

AK vs A9: odds and equity

In short

AKo wins 71.9% of the time against A9o all in before the flop, A9o wins 23.4%, and they split the pot 4.7% of the time. AKo is a clear favourite, about 3 to 1. With AKo vs A9s the split is 70.0% to 30.0% in equity.

AKo

74.2%

vs

A9o

25.8%

Equity: win% plus half of the 4.7% split pots. AKo is a clear favourite, about 3 to 1.

Every suit combination

MatchupHand 1 winsHand 2 winsSplitHand 1 equity
AKs vs A9s69.1%26.7%4.3%71.2%
AKs vs A9o73.1%22.4%4.5%75.4%
AKo vs A9s67.7%27.8%4.5%70.0%
AKo vs A9o71.9%23.4%4.7%74.2%

What the flop does to it

When no 9 comes on the flop (87.8% of flops), AKo has 81.2% equity going to the turn. When one does, AKo drops to 24.6%.

A9o 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 A9o 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 A9?
AKo. All in preflop it has 74.2% equity against A9o: 71.9% wins plus half of the 4.7% split pots. That's a clear favourite, about 3 to 1.
Do suits change the odds?
A little. AKs vs A9s is 71.2% to 28.8%; AKs vs A9o is 75.4% to 24.6%; AKo vs A9s is 70.0% to 30.0%; AKo vs A9o is 74.2% to 25.8%. Suited hands make more flushes, which is worth a few percent.
What happens on the flop?
When no 9 comes on the flop (87.8% of flops), AKo has 81.2% equity going to the turn. When one does, AKo drops to 24.6%.
When does AK vs A9 happen in push/fold?
At 10BB in 6-max, the Button shoves AKo always and the Big Blind calls with A9o 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 A9o, 1,712,304 boards each. The numbers are exact, not simulated.

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