AJo vs 22: preflop equity

AJo against 22: the numbers

AJo and 22 are an offsuit hand and a pocket pair, in that order. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.

This is close to even money, with 22 a little ahead. Ties are 0.59% of the outcomes here; each tied board gives both hands half the pot.

AJo ranks number 15 of 169 starting hands, and 22 ranks number 87, by equity against a random hand.

Exact total: 72 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

22 prefers low rainbow flops (nine high or lower), where it holds 77.79%, and likes rainbow flops topped by a ten or better least, where it holds 46.15%. AJo is ahead on rainbow flops topped by a ten or better and monotone flops, even though it trails 22 when every flop is counted.

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

Each hand has a baseline against a random hand: 63.56% for AJo, 50.33% for 22. Here the change is -15.51 and +1.62 points.

Does a shared suit matter?

Two kinds of deal exist here. In 60 of them the hands share a suit and 22 holds 51.87%. In 12 they do not, and it holds 52.35%. 22 does better with no shared suit, by 0.48 points.

How often this matchup comes up

Counting specific cards, AJo against 22 appears in 72 of the 1,624,350 ordered heads-up deals (0.0044%), and in 144 when the seats are swapped too (0.0089%).

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. 22 averages $103.90 from the $200, up $3.90; AJo averages $96.10, down $3.90.

A thousand deals look like this: 22 takes 516, AJo takes 478, 6 are ties.

The same matchup from the other side

Read it from the other side: 22 against AJo is the same matchup with the numbers swapped, so 22 holds 51.95% and AJo holds 48.05%. That address sends you back to this page.

Keep exploring

AsJh against 2d2c is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

• Open AsJh against 2d2c in the equity calculator
• AJo combos
• 22 combos
• AJo vs 97s
• AJo vs 87s
• KQs vs 22
• All hand matchups