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AQo vs 65s

AQo
VS
65s
58.5%
equity for AQo — 65s takes 41.5%

Two unpaired hands with no shared rank — the higher cards usually run 60–65%.

AQo Win
58.3%
Tie
0.5%
AQo Lose
41.2%
Card combinations
48
AQo vs random
64.4% · #14
65s vs random
43.0% · #128
Breakdown

Win, tie and loss for AQo

Win 58.3%Lose 41.2%

When AQo and 65s get all in before the flop, AQo wins 58.5% of the time and 65s takes 41.5%. Broken down, AQo wins outright 58.3%, chops 0.5% and loses 41.2% — a margin of 17.1 points. Two unpaired hands with no shared rank — the higher cards usually run 60–65%.

The same matchup shifts depending on how the suits overlap. With no shared suit the number is 57.8% (for example As Qh against 6d 5d); with one shared suit it is 59.3% (As Qh against 6s 5s). That is a spread of 1.48 points across the 48 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 AQo 44.5%, 65s 31.5%, random 24.0%. AQo gives up 14 points and 65s gives up 10, so the favourite loses more than the underdog does. Extra players always eat into the leader's share faster than into anyone else's.

Taken on their own, AQo is worth 64.4% against a random hand (rank 14 of 169) and 65s is worth 43.0% (rank 128). The gap between them in the ranking is only 21.4 points, yet head to head the gap is 17.1 points, which is roughly what the ranking table predicts.

Framed as a run of one hundred identical all-ins, AQo scoops roughly 58 pots, splits about one, and loses the remaining 41. Against eight random opponents rather than this one specific hand, AQo would be down to 17.5% and 65s to 12.6%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From 65s's side, 41.5% is the break-even point for calling an all-in at 1.41:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 41.5% of the pot you are playing for. AQo holds the other 58.5% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 48 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 65s really does hold exactly 65s; against the wider range a player would actually get all in with, AQo's 58.5% moves. Use the individual pages for AQo and 65s 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.

ConditionExampleCombosAQo EquityWinTieLose
No shared suitAs Qh vs 6d 5d2457.8%57.6%0.4%42.0%
One shared suitAs Qh vs 6s 5s2459.3%59.0%0.5%40.5%
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, AQo is ahead 72.1% of the time and 65s 27.9%, 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 AQo leads on the flop, 65s comes back on the turn and river 26.8% of the time. When 65s leads on the flop, AQo turns it around 20.9% of the time. The hand in front holds on to win 74.4% of the time from the flop and 84.7% from the turn (level spots left out).

With the turn out, AQo leads 64.9% and 65s 35.1%. Counted exhaustively, AQo finishes with 58.56% equity (the 58.5% at the top of the page is a 200,000-hand simulation).

On the flop — lead holds 74.4%, flips 25.2%
After the flopHow oftenAQo winsTie65s wins
AQo ahead72.1%72.8%0.366%26.8%
Level (same hand)0%Never happens
65s ahead27.9%20.9%0.716%78.4%
On the turn — lead holds 84.7%, flips 14.8%
After the turnHow oftenAQo winsTie65s wins
AQo ahead64.9%83.4%0.380%16.2%
Level (same hand)0%Never happens
65s ahead35.1%12.1%0.619%87.3%

"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.

AQo
44.5%
vs heads-up -14.0pt
65s
31.5%
vs heads-up -9.9pt
Random third hand
24.0%
Player count

At a bigger table

Random opponentsAQo65s
164.4%43.0%
246.9%30.1%
430.3%19.5%
817.5%12.6%

Related

FAQ

AQo or 65s — which is ahead preflop?

AQo is the favourite. AQo takes 58.5% and 65s 41.5%, a margin of 17.1 points, with 0.5% of hands ending in a chop.

Do the suits change AQo vs 65s?

Yes. With no shared suit it is 57.8%, and with one shared suit it is 59.3% — a swing of up to 1.48 points.

What happens three-way?

With one extra random hand in the pot the split is AQo 44.5%, 65s 31.5%, random 24.0%. AQo drops 14 points compared with heads-up.

How often does the flop leader lose in AQo vs 65s?

The hand ahead on the flop goes on to lose 25.2% of the time (level spots left out). When AQo leads, 65s comes back 26.8%. When 65s leads, AQo comes back 20.9%. Exact counts over every flop, turn and river.

424 words / 31 distinct figures — Method