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pocket pair

AA

85.2%
Equity vs one random hand — #1 of 169

A premium pair — ahead of almost every other hand before the flop.

Heads-up (1 opponent)
85.2% · #1
6-handed (5 opponents)
49.2% · #1
9-handed (8 opponents)
34.5% · #1
Chen score
20
Combos
6 / 1,326
Dealt frequency
0.45%
Favourite against
168 of 168 hands

AA (pocket aces) wins 85.2% of the time against a single random opponent, which places it 1th out of the 169 starting hands — the top 0.6% of the range. At a six-handed table (five opponents) its equity falls to 49.2% and its rank moves to 1; nine-handed (eight opponents) it holds 34.5% for rank 1. A premium pair — ahead of almost every other hand before the flop.

As a pocket pair there is no suited twin; instead there are 6 combinations of it in the deck, so you are dealt it 0.45% of the time (6 of 1,326 two-card hands). The hand ranked one place above is — and one place below is KK at 82.5%. Every pocket pair flops a set about 11.8% of the time, so the pecking order among pairs is decided almost entirely before the flop.

Played heads-up against each of the other 168 hands, AA is a favourite against 168 of them and an underdog against 0. Its best matchup is A9o at 93.9% and its worst is 65s at 77.6% — a spread of 16.3 points, which is why calling AA simply "strong" or "weak" says very little.

AA shares a rank with relatively few hands, so it is rarely on the wrong side of a kicker problem. What does hurt it is running into a higher pair, where the number bottoms out at 77.6%. The table further down lists all 168 opponents individually.

Within the 13 pocket pairs it comes 1 of 13. The strongest hand in that group, AA, is 0 points away, and the weakest, 22, sits 35 points below. Measured against the average equity of all 169 hands, 51%, AA lands +34.2 points from the middle of the pack, and 0 hands in the full ranking are still ahead of it.

Adding players costs equity steadily: 85.2% against one opponent, 73.5% against two, 55.9% against four and 34.5% against eight. That last figure is 311% of an even nine-way share (11.1%). The Chen formula scores this hand at 20 points, and it arrives 0.45% of the time (6 of 1,326 combinations).

One caveat worth repeating: every number on this page assumes the opponent holds a completely random hand and that the pot goes to showdown. Real opponents hold ranges, and a range that has already put money in is stronger than random — which is exactly why AA reads as 85.2% here but plays worse than that against a raise. Use the 168 rows in the table below to see which specific holdings are the problem, rather than treating the headline figure as a verdict on the hand.

By player count

Equity by opponent count

From 85.2% against one opponent down to 34.5% against eight. The x-axis is the number of opponents.

0%45%90%85.2173.5264.1355.9449.2543.3638.8734.58opponents
Matchups

Against all 168 other hands

200,000 simulated showdowns per pairing. Opponent names link to that hand's page; the shape column links to the matchup page where one exists.

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AA played heads-up against each of the other 168 hands
Opponent handOpp. rankAA equityvs 50%Shape
KK282.0%+32.0PAIR VS PAIR
QQ381.7%+31.7PAIR VS PAIR
JJ481.2%+31.2PAIR VS PAIR
TT580.8%+30.8PAIR VS PAIR
99680.8%+30.8PAIR VS PAIR
88780.5%+30.5PAIR VS PAIR
AKs887.9%+37.9PAIR VS CARDS
77980.4%+30.4PAIR VS PAIR
AQs1087.6%+37.6PAIR VS CARDS
AJs1187.1%+37.1PAIR VS CARDS
AKo1293.2%+43.2PAIR VS CARDS
ATs1386.7%+36.7PAIR VS CARDS
AQo1492.8%+42.8PAIR VS CARDS
AJo1592.4%+42.4PAIR VS CARDS
KQs1683.0%+33.0PAIR VS CARDS
661780.4%+30.4PAIR VS PAIR
A9s1888.3%+38.3PAIR VS CARDS
ATo1991.8%+41.8PAIR VS CARDS
KJs2082.4%+32.4PAIR VS CARDS
A8s2188.0%+38.0PAIR VS CARDS
KTs2282.4%+32.4PAIR VS CARDS
KQo2387.0%+37.0PAIR VS CARDS
A7s2488.0%+38.0PAIR VS CARDS
A9o2593.9%+43.9PAIR VS CARDS
KJo2686.6%+36.6PAIR VS CARDS
552780.8%+30.8PAIR VS PAIR
QJs2880.8%+30.8PAIR VS CARDS
A6s2988.1%+38.1PAIR VS CARDS
K9s3082.7%+32.7PAIR VS CARDS
A8o3193.4%+43.4PAIR VS CARDS
A5s3286.8%+36.8PAIR VS CARDS
KTo3386.2%+36.2PAIR VS CARDS
QTs3480.5%+30.5PAIR VS CARDS
A4s3587.2%+37.2PAIR VS CARDS
A7o3693.3%+43.3PAIR VS CARDS
K8s3783.9%+33.9PAIR VS CARDS
A3s3887.5%+37.5PAIR VS CARDS
QJo3984.9%+34.9PAIR VS CARDS
K9o4086.8%+36.8PAIR VS CARDS
Q9s4181.1%+31.1PAIR VS CARDS
A5o4291.9%+41.9PAIR VS CARDS
A2s4388.0%+38.0PAIR VS CARDS
K7s4483.5%+33.5PAIR VS CARDS
A6o4593.6%+43.6PAIR VS CARDS
JTs4678.8%+28.8PAIR VS CARDS
QTo4784.5%+34.5PAIR VS CARDS
444881.4%+31.4PAIR VS PAIR
K6s4983.5%+33.5PAIR VS CARDS
A4o5092.3%+42.3PAIR VS CARDS
Q8s5182.4%+32.4PAIR VS CARDS
K8o5288.1%+38.1PAIR VS CARDS
A3o5392.7%+42.7PAIR VS CARDS
K5s5483.9%+33.9PAIR VS CARDS
J9s5579.4%+29.4PAIR VS CARDS
Q9o5685.0%+35.0PAIR VS CARDS
JTo5782.7%+32.7PAIR VS CARDS
K7o5887.7%+37.7PAIR VS CARDS
K4s5984.2%+34.2PAIR VS CARDS
A2o6093.3%+43.3PAIR VS CARDS
Q7s6183.5%+33.5PAIR VS CARDS
K6o6287.7%+37.7PAIR VS CARDS
K3s6384.5%+34.5PAIR VS CARDS
J8s6480.5%+30.5PAIR VS CARDS
T9s6577.8%+27.8PAIR VS CARDS
Q8o6686.3%+36.3PAIR VS CARDS
336781.7%+31.7PAIR VS PAIR
Q6s6883.1%+33.1PAIR VS CARDS
K2s6985.0%+35.0PAIR VS CARDS
J9o7083.2%+33.2PAIR VS CARDS
K5o7188.1%+38.1PAIR VS CARDS
Q5s7283.4%+33.4PAIR VS CARDS
J7s7381.8%+31.8PAIR VS CARDS
T8s7478.8%+28.8PAIR VS CARDS
K4o7588.4%+38.4PAIR VS CARDS
Q7o7687.6%+37.6PAIR VS CARDS
Q4s7783.8%+33.8PAIR VS CARDS
J8o7884.8%+34.8PAIR VS CARDS
T9o7981.5%+31.5PAIR VS CARDS
K3o8088.9%+38.9PAIR VS CARDS
Q3s8184.3%+34.3PAIR VS CARDS
Q6o8287.1%+37.1PAIR VS CARDS
98s8377.9%+27.9PAIR VS CARDS
T7s8480.3%+30.3PAIR VS CARDS
J6s8583.2%+33.2PAIR VS CARDS
K2o8689.3%+39.3PAIR VS CARDS
Q5o8787.4%+37.4PAIR VS CARDS
228882.3%+32.3PAIR VS PAIR
Q2s8984.4%+34.4PAIR VS CARDS
J5s9083.1%+33.1PAIR VS CARDS
T8o9182.8%+32.8PAIR VS CARDS
J7o9285.9%+35.9PAIR VS CARDS
J4s9383.3%+33.3PAIR VS CARDS
97s9479.2%+29.2PAIR VS CARDS
Q4o9587.9%+37.9PAIR VS CARDS
T6s9681.4%+31.4PAIR VS CARDS
J3s9783.8%+33.8PAIR VS CARDS
98o9881.8%+31.8PAIR VS CARDS
T7o9984.2%+34.2PAIR VS CARDS
Q3o10088.4%+38.4PAIR VS CARDS
87s10177.6%+27.6PAIR VS CARDS
J6o10287.3%+37.3PAIR VS CARDS
J2s10384.2%+34.2PAIR VS CARDS
96s10480.2%+30.2PAIR VS CARDS
Q2o10588.9%+38.9PAIR VS CARDS
J5o10687.1%+37.1PAIR VS CARDS
T5s10783.1%+33.1PAIR VS CARDS
T4s10883.0%+33.0PAIR VS CARDS
97o10983.1%+33.1PAIR VS CARDS
86s11078.7%+28.7PAIR VS CARDS
J4o11187.6%+37.6PAIR VS CARDS
T6o11285.6%+35.6PAIR VS CARDS
T3s11383.3%+33.3PAIR VS CARDS
95s11481.9%+31.9PAIR VS CARDS
76s11577.7%+27.7PAIR VS CARDS
J3o11687.9%+37.9PAIR VS CARDS
87o11781.3%+31.3PAIR VS CARDS
T2s11883.6%+33.6PAIR VS CARDS
85s11980.4%+30.4PAIR VS CARDS
96o12084.4%+34.4PAIR VS CARDS
T5o12187.2%+37.2PAIR VS CARDS
J2o12288.5%+38.5PAIR VS CARDS
94s12383.4%+33.4PAIR VS CARDS
75s12479.0%+29.0PAIR VS CARDS
T4o12587.1%+37.1PAIR VS CARDS
93s12683.5%+33.5PAIR VS CARDS
86o12782.6%+32.6PAIR VS CARDS
65s12877.6%+27.6PAIR VS CARDS
95o12986.0%+36.0PAIR VS CARDS
84s13082.0%+32.0PAIR VS CARDS
T3o13187.4%+37.4PAIR VS CARDS
92s13284.1%+34.1PAIR VS CARDS
76o13381.3%+31.3PAIR VS CARDS
74s13480.5%+30.5PAIR VS CARDS
T2o13588.0%+38.0PAIR VS CARDS
64s13679.1%+29.1PAIR VS CARDS
85o13784.2%+34.2PAIR VS CARDS
54s13878.8%+28.8PAIR VS CARDS
83s13983.6%+33.6PAIR VS CARDS
94o14087.8%+37.8PAIR VS CARDS
75o14183.0%+33.0PAIR VS CARDS
82s14283.7%+33.7PAIR VS CARDS
73s14382.2%+32.2PAIR VS CARDS
65o14481.3%+31.3PAIR VS CARDS
93o14587.9%+37.9PAIR VS CARDS
53s14680.6%+30.6PAIR VS CARDS
63s14780.8%+30.8PAIR VS CARDS
84o14886.0%+36.0PAIR VS CARDS
92o14988.3%+38.3PAIR VS CARDS
43s15080.9%+30.9PAIR VS CARDS
74o15184.7%+34.7PAIR VS CARDS
54o15282.8%+32.8PAIR VS CARDS
72s15383.8%+33.8PAIR VS CARDS
52s15482.0%+32.0PAIR VS CARDS
64o15583.2%+33.2PAIR VS CARDS
62s15682.4%+32.4PAIR VS CARDS
83o15787.7%+37.7PAIR VS CARDS
42s15882.6%+32.6PAIR VS CARDS
82o15987.8%+37.8PAIR VS CARDS
73o16086.4%+36.4PAIR VS CARDS
53o16184.6%+34.6PAIR VS CARDS
63o16284.7%+34.7PAIR VS CARDS
32s16383.0%+33.0PAIR VS CARDS
43o16485.0%+35.0PAIR VS CARDS
72o16588.2%+38.2PAIR VS CARDS
52o16686.3%+36.3PAIR VS CARDS
62o16786.5%+36.5PAIR VS CARDS
42o16886.9%+36.9PAIR VS CARDS
32o16987.1%+37.1PAIR VS CARDS

Showing 168 of 168 rows

Related

FAQ

What is the equity of AA?

85.2% against one random opponent, which ranks it 1 of 169. Six-handed (five opponents) it is 49.2%, and nine-handed (eight opponents) 34.5%.

Which hand is the worst matchup for AA?

65s, which leaves AA with 77.6%. Its best matchup is A9o at 93.9%.

How many of the 168 other hands does AA beat?

It is a heads-up favourite over 168 hands and an underdog against 0. 0 opponents sit within one point of a 50/50 coinflip.

434 words / 28 distinct figures — Method