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77 vs AQo

77
VS
AQo
54.5%
equity for 77 — AQo takes 45.5%

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

77 Win
54.4%
Tie
0.4%
77 Lose
45.3%
Card combinations
72
77 vs random
66.3% · #9
AQo vs random
64.4% · #14
Breakdown

Win, tie and loss for 77

Win 54.4%Lose 45.3%

When 77 and AQo get all in before the flop, 77 wins 54.5% of the time and AQo takes 45.5%. Broken down, 77 wins outright 54.4%, chops 0.4% and loses 45.3% — a margin of 9.1 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 both suits shared the number is 54.0% (for example 7s 7h against As Qh); with no shared suit it is 54.9% (7s 7h against Ad Qc). That is a spread of 0.89 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 77 41.0%, AQo 38.6%, random 20.4%. 77 gives up 13.5 points and AQo gives up 6.8, 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, 77 is worth 66.3% against a random hand (rank 9 of 169) and AQo is worth 64.4% (rank 14). The gap between them in the ranking is only 1.9 points, yet head to head the gap is 9.1 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, 77 scoops roughly 54 pots, splits about one, and loses the remaining 45. Against eight random opponents rather than this one specific hand, 77 would be down to 14.6% and AQo to 17.5%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From AQo's side, 45.5% is the break-even point for calling an all-in at 1.2:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 45.5% of the pot you are playing for. 77 holds the other 54.5% 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 AQo really does hold exactly AQo; against the wider range a player would actually get all in with, 77's 54.5% moves. Use the individual pages for 77 and AQo 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.

ConditionExampleCombos77 EquityWinTieLose
No shared suit7s 7h vs Ad Qc1254.9%54.8%0.3%44.9%
One shared suit7s 7h vs As Qd4854.6%54.4%0.4%45.3%
Both suits shared7s 7h vs As Qh1254.0%53.8%0.5%45.7%
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, 77 is ahead 69.0% of the time and AQo 31.0%, 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 77 leads on the flop, AQo comes back on the turn and river 25.5% of the time. When AQo leads on the flop, 77 turns it around 10.4% of the time. The hand in front holds on to win 78.8% of the time from the flop and 88.1% from the turn (level spots left out).

With the turn out, 77 leads 61.4% and AQo 38.6%. Counted exhaustively, 77 finishes with 54.53% equity (the 54.5% at the top of the page is a 200,000-hand simulation).

On the flop — lead holds 78.8%, flips 20.8%
After the flopHow often77 winsTieAQo wins
77 ahead69.0%74.1%0.381%25.5%
Level (same hand)0%Never happens
AQo ahead31.0%10.4%0.365%89.3%
On the turn — lead holds 88.1%, flips 11.5%
After the turnHow often77 winsTieAQo wins
77 ahead61.4%84.7%0.337%14.9%
Level (same hand)0%Never happens
AQo ahead38.6%6.10%0.437%93.5%

"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.

77
41.0%
vs heads-up -13.5pt
AQo
38.6%
vs heads-up -6.8pt
Random third hand
20.4%
Player count

At a bigger table

Random opponents77AQo
166.3%64.4%
246.5%46.9%
426.9%30.3%
814.6%17.5%

Related

FAQ

77 or AQo — which is ahead preflop?

77 is the favourite. 77 takes 54.5% and AQo 45.5%, a margin of 9.1 points, with 0.4% of hands ending in a chop.

Do the suits change 77 vs AQo?

Yes. With both suits shared it is 54.0%, and with no shared suit it is 54.9% — a swing of up to 0.89 points.

What happens three-way?

With one extra random hand in the pot the split is 77 41.0%, AQo 38.6%, random 20.4%. 77 drops 13.5 points compared with heads-up.

How often does the flop leader lose in 77 vs AQo?

The hand ahead on the flop goes on to lose 20.8% of the time (level spots left out). When 77 leads, AQo comes back 25.5%. When AQo leads, 77 comes back 10.4%. Exact counts over every flop, turn and river.

431 words / 30 distinct figures — Method