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AJo vs 22

AJo
VS
22
48.0%
equity for AJo — 22 takes 52.0%

Pair against two overcards — the classic coinflip, with the pair a shade ahead.

AJo Win
47.7%
Tie
0.6%
AJo Lose
51.7%
Card combinations
72
AJo vs random
63.6% · #15
22 vs random
50.2% · #88
Breakdown

Win, tie and loss for AJo

Win 47.7%Lose 51.7%

When AJo and 22 get all in before the flop, AJo wins 48.0% of the time and 22 takes 52.0%. Broken down, AJo wins outright 47.7%, chops 0.6% and loses 51.7% — a margin of -3.9 points. Pair against two overcards — the classic coinflip, with the pair a shade ahead.

The same matchup shifts depending on how the suits overlap. With no shared suit the number is 47.6% (for example As Jh against 2d 2c); with both suits shared it is 48.3% (As Jh against 2s 2h). That is a spread of 0.68 points across the 72 distinct card combinations, and it comes almost entirely from whether the two hands are fighting over the same flush.

Add a third player holding a random hand and the split becomes AJo 39.2%, 22 31.9%, random 28.9%. AJo gives up 8.9 points and 22 gives up 20.1, so the underdog loses more than the favourite does. Extra players always eat into the leader's share faster than into anyone else's.

Taken on their own, AJo is worth 63.6% against a random hand (rank 15 of 169) and 22 is worth 50.2% (rank 88). The gap between them in the ranking is only 13.4 points, yet head to head the gap is 3.9 points, which is roughly what the ranking table predicts.

Framed as a run of one hundred identical all-ins, AJo scoops roughly 48 pots, splits about one, and loses the remaining 52. Against eight random opponents rather than this one specific hand, AJo would be down to 16.1% and 22 to 12.5%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From 22's side, 52.0% is the break-even point for calling an all-in at 0.92:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 52.0% of the pot you are playing for. AJo holds the other 48.0% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 72 card combinations with five board cards still to come — there is no fold equity in it, so the value of shoving in practice is usually higher than the raw percentage suggests. Second, it assumes 22 really does hold exactly 22; against the wider range a player would actually get all in with, AJo's 48.0% moves. Use the individual pages for AJo and 22 to see how each of them fares against all 168 other holdings before treating this single pairing as the whole picture.

By shared suits

Overlapping suits move the number

200,000 simulated showdowns per condition. The example column shows one concrete four-card layout.

ConditionExampleCombosAJo EquityWinTieLose
No shared suitAs Jh vs 2d 2c1247.6%47.3%0.6%52.1%
One shared suitAs Jh vs 2s 2d4848.1%47.8%0.6%51.6%
Both suits sharedAs Jh vs 2s 2h1248.3%48.0%0.6%51.4%
Flop and turn

Who leads on each street, and how often it flips

Exact counts from the 48 unseen cards: all 17,296 flops × 990 turn-and-river pairs, and all 194,580 four-card turns × 44 rivers, for every suit combination — no simulation.

When the three flop cards are out, AJo is ahead 31.0% of the time and 22 69.0%, and the two hands are never level on the flop. "Ahead" means the better best-five-card hand from the cards showing plus the two hole cards; draws are not counted.

When AJo leads on the flop, 22 comes back on the turn and river 10.5% of the time. When 22 leads on the flop, AJo turns it around 29.2% of the time. The hand in front holds on to win 76.0% of the time from the flop and 85.9% from the turn (level spots left out).

With the turn out, AJo leads 39.3% and 22 60.7%. Counted exhaustively, AJo finishes with 48.05% equity (the 48.0% at the top of the page is a 200,000-hand simulation).

On the flop — lead holds 76.0%, flips 23.4%
After the flopHow oftenAJo winsTie22 wins
AJo ahead31.0%89.1%0.452%10.5%
Level (same hand)0%Never happens
22 ahead69.0%29.2%0.652%70.2%
On the turn — lead holds 85.9%, flips 13.5%
After the turnHow oftenAJo winsTie22 wins
AJo ahead39.3%93.4%0.608%6.03%
Level (same hand)0%Never happens
22 ahead60.7%18.3%0.578%81.1%

"Ahead" compares the best five-card hands available at that point (draws are not counted). "Flips" is the share of leads that end in a loss, with level spots left out.

Three-way

Adding a random third hand

200,000 simulated showdowns, with the third hand dealt at random each time.

AJo
39.2%
vs heads-up -8.9pt
22
31.9%
vs heads-up -20.1pt
Random third hand
28.9%
Player count

At a bigger table

Random opponentsAJo22
163.6%50.2%
245.4%30.2%
428.7%17.8%
816.1%12.5%

Related

FAQ

AJo or 22 — which is ahead preflop?

22 is the favourite. AJo takes 48.0% and 22 52.0%, a margin of 3.9 points, with 0.6% of hands ending in a chop.

Do the suits change AJo vs 22?

Yes. With no shared suit it is 47.6%, and with both suits shared it is 48.3% — a swing of up to 0.68 points.

What happens three-way?

With one extra random hand in the pot the split is AJo 39.2%, 22 31.9%, random 28.9%. AJo drops 8.9 points compared with heads-up.

How often does the flop leader lose in AJo vs 22?

The hand ahead on the flop goes on to lose 23.4% of the time (level spots left out). When AJo leads, 22 comes back 10.5%. When 22 leads, AJo comes back 29.2%. Exact counts over every flop, turn and river.

424 words / 30 distinct figures — Method