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AJo vs 55

AJo
VS
55
46.1%
equity for AJo — 55 takes 53.9%

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

AJo Win
45.9%
Tie
0.4%
AJo Lose
53.7%
Card combinations
72
AJo vs random
63.6% · #15
55 vs random
60.3% · #27
Breakdown

Win, tie and loss for AJo

Win 45.9%Lose 53.7%

When AJo and 55 get all in before the flop, AJo wins 46.1% of the time and 55 takes 53.9%. Broken down, AJo wins outright 45.9%, chops 0.4% and loses 53.7% — a margin of -7.8 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 45.8% (for example As Jh against 5d 5c); with both suits shared it is 46.5% (As Jh against 5s 5h). That is a spread of 0.7 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 38.3%, 55 38.0%, random 23.6%. AJo gives up 7.8 points and 55 gives up 15.9, 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 55 is worth 60.3% (rank 27). The gap between them in the ranking is only 3.3 points, yet head to head the gap is 7.8 points — a reminder that a ranking table and a direct matchup are two different questions.

Framed as a run of one hundred identical all-ins, AJo scoops roughly 46 pots, splits about one, and loses the remaining 54. Against eight random opponents rather than this one specific hand, AJo would be down to 16.1% and 55 to 13.2%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From 55's side, 53.9% is the break-even point for calling an all-in at 0.86:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 53.9% of the pot you are playing for. AJo holds the other 46.1% 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 55 really does hold exactly 55; against the wider range a player would actually get all in with, AJo's 46.1% moves. Use the individual pages for AJo and 55 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 5d 5c1245.8%45.7%0.3%54.0%
One shared suitAs Jh vs 5s 5d4846.0%45.8%0.5%53.7%
Both suits sharedAs Jh vs 5s 5h1246.5%46.3%0.5%53.2%
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 55 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, 55 comes back on the turn and river 11.0% of the time. When 55 leads on the flop, AJo turns it around 26.7% of the time. The hand in front holds on to win 77.7% of the time from the flop and 87.2% from the turn (level spots left out).

With the turn out, AJo leads 38.8% and 55 61.2%. Counted exhaustively, AJo finishes with 46.08% equity (the 46.1% at the top of the page is a 200,000-hand simulation).

On the flop — lead holds 77.7%, flips 21.8%
After the flopHow oftenAJo winsTie55 wins
AJo ahead31.0%88.6%0.399%11.0%
Level (same hand)0%Never happens
55 ahead69.0%26.7%0.443%72.9%
On the turn — lead holds 87.2%, flips 12.4%
After the turnHow oftenAJo winsTie55 wins
AJo ahead38.8%92.9%0.511%6.59%
Level (same hand)0%Never happens
55 ahead61.2%16.0%0.378%83.6%

"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
38.3%
vs heads-up -7.8pt
55
38.0%
vs heads-up -15.9pt
Random third hand
23.6%
Player count

At a bigger table

Random opponentsAJo55
163.6%60.3%
245.4%40.1%
428.7%22.6%
816.1%13.2%

Related

FAQ

AJo or 55 — which is ahead preflop?

55 is the favourite. AJo takes 46.1% and 55 53.9%, a margin of 7.8 points, with 0.4% of hands ending in a chop.

Do the suits change AJo vs 55?

Yes. With no shared suit it is 45.8%, and with both suits shared it is 46.5% — a swing of up to 0.7 points.

What happens three-way?

With one extra random hand in the pot the split is AJo 38.3%, 55 38.0%, random 23.6%. AJo drops 7.8 points compared with heads-up.

How often does the flop leader lose in AJo vs 55?

The hand ahead on the flop goes on to lose 21.8% of the time (level spots left out). When AJo leads, 55 comes back 11.0%. When 55 leads, AJo comes back 26.7%. Exact counts over every flop, turn and river.

431 words / 29 distinct figures — Method