Hand odds / AJ vs 22

AJ vs 22: odds and equity

In short

22 wins 51.7% of the time against AJo all in before the flop, AJo wins 47.8%, and they split the pot 0.6% of the time. 22 is a coin flip. With AJs vs 22 the split is 50.5% to 49.5% in equity.

AJo

48.1%

vs

22

51.9%

Equity: win% plus half of the 0.6% split pots. 22 is a coin flip.

Every suit combination

MatchupHand 1 winsHand 2 winsSplitHand 1 equity
AJs vs 2250.2%49.2%0.6%50.5%
AJo vs 2247.8%51.7%0.6%48.1%

What the flop does to it

When no A or J comes on the flop (76.3% of flops), 22 has 62.5% equity going to the turn. When one does, 22 drops to 17.9%.

AJo 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 AJo a pair.

When this all-in happens in push/fold

At 10BB in 6-max, the Button shoves AJo always and the Big Blind calls with 22 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, AJ or 22?
22. All in preflop it has 51.9% equity against AJo: 51.7% wins plus half of the 0.6% split pots. That's a coin flip.
Do suits change the odds?
A little. AJs vs 22 is 50.5% to 49.5%; AJo vs 22 is 48.1% to 51.9%. Suited hands make more flushes, which is worth a few percent.
What happens on the flop?
When no A or J comes on the flop (76.3% of flops), 22 has 62.5% equity going to the turn. When one does, 22 drops to 17.9%.
When does AJ vs 22 happen in push/fold?
At 10BB in 6-max, the Button shoves AJo always and the Big Blind calls with 22 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 AJo vs 22, 1,712,304 boards each. The numbers are exact, not simulated.

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