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offsuitace high

A3o

55.9%
Equity vs one random hand — #53 of 169

An ace-high hand — watch out for kicker trouble and domination.

Heads-up (1 opponent)
55.9% · #53
6-handed (5 opponents)
16.9% · #84
9-handed (8 opponents)
10.9% · #99
Chen score
5
Combos
12 / 1,326
Dealt frequency
0.9%
Favourite against
134 of 168 hands

A3o (ace-three offsuit) wins 55.9% of the time against a single random opponent, which places it 53th out of the 169 starting hands — the top 31.4% of the range. At a six-handed table (five opponents) its equity falls to 16.9% and its rank moves to 84; nine-handed (eight opponents) it holds 10.9% for rank 99. An ace-high hand — watch out for kicker trouble and domination.

Its suited/offsuit twin A3s runs at 58.2% (rank 38), a gap of 2.3 points. Losing the shared suit costs 2.3 points of raw equity. The hand directly above it in the ranking is K8o at 56.0%, and directly below is K5s at 55.7%, so three hands are packed into a band of 0.3 points.

Played heads-up against each of the other 168 hands, A3o is a favourite against 134 of them and an underdog against 34. Its best matchup is K3o at 76.2% and its worst is AA at 7.3% — a spread of 68.9 points, which is why calling A3o simply "strong" or "weak" says very little. 1 opponents land inside one point of a coinflip, the closest being A2s at 50.3%.

A3o dominates 8 hands that share one of its ranks, pushing hardest against K3o at 76.2%. It is dominated by 8 hands in return, the worst of them AKs, which leaves A3o with only 25.3%. A single kicker can move the number by tens of points, and the full table below lists every one of those opponents.

Within the 78 offsuit hands it comes 18 of 78. The strongest hand in that group, AKo, is 9.5 points away, and the weakest, 32o, sits 23.6 points below. Measured against the average equity of all 169 hands, 51%, A3o lands +4.9 points from the middle of the pack, and 52 hands in the full ranking are still ahead of it.

Adding players costs equity steadily: 55.9% against one opponent, 36.1% against two, 21.0% against four and 10.9% against eight. That last figure is 98% of an even nine-way share (11.1%). The Chen formula scores this hand at 5 points, and it arrives 0.9% of the time (12 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 A3o reads as 55.9% 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 55.9% against one opponent down to 10.9% against eight. The x-axis is the number of opponents.

0%30%60%55.9136.1226.4321.0416.9514.2612.2710.98opponents
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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A3o played heads-up against each of the other 168 hands
Opponent handOpp. rankA3o equityvs 50%Shape
AA17.3%-42.7PAIR VS CARDS
KK228.9%-21.1PAIR VS CARDS
QQ329.0%-21.0PAIR VS CARDS
JJ429.3%-20.7PAIR VS CARDS
TT529.2%-20.8PAIR VS CARDS
99630.1%-19.9PAIR VS CARDS
88729.7%-20.3PAIR VS CARDS
AKs825.3%-24.7DOMINATED
77930.3%-19.7PAIR VS CARDS
AQs1025.7%-24.3DOMINATED
AJs1126.6%-23.4DOMINATED
AKo1226.4%-23.6DOMINATED
ATs1327.8%-22.2DOMINATED
AQo1426.9%-23.1DOMINATED
AJo1528.0%-22.0DOMINATED
KQs1654.5%+4.5HIGH CARD
661730.7%-19.3PAIR VS CARDS
A9s1830.5%-19.5DOMINATED
ATo1929.2%-20.8DOMINATED
KJs2054.0%+4.0HIGH CARD
A8s2132.8%-17.2DOMINATED
KTs2253.9%+3.9HIGH CARD
KQo2357.7%+7.7HIGH CARD
A7s2436.0%-14.0DOMINATED
A9o2532.1%-17.9DOMINATED
KJo2657.4%+7.4HIGH CARD
552730.1%-19.9PAIR VS CARDS
QJs2853.2%+3.2HIGH CARD
A6s2939.7%-10.3DOMINATED
K9s3055.2%+5.2HIGH CARD
A8o3134.4%-15.6DOMINATED
A5s3241.6%-8.4HIGH CARD
KTo3357.2%+7.2HIGH CARD
QTs3452.8%+2.8HIGH CARD
A4s3544.5%-5.5HIGH CARD
A7o3638.0%-12.0DOMINATED
K8s3756.1%+6.1HIGH CARD
A3s3847.5%-2.5HIGH CARD
QJo3956.3%+6.3HIGH CARD
K9o4058.6%+8.6HIGH CARD
Q9s4154.2%+4.2HIGH CARD
A5o4243.9%-6.1HIGH CARD
A2s4350.3%+0.3COINFLIP
K7s4456.0%+6.0HIGH CARD
A6o4541.9%-8.1HIGH CARD
JTs4651.4%+1.4HIGH CARD
QTo4756.1%+6.1HIGH CARD
444830.6%-19.4PAIR VS CARDS
K6s4956.1%+6.1HIGH CARD
A4o5047.0%-3.0HIGH CARD
Q8s5154.9%+4.9HIGH CARD
K8o5259.7%+9.7HIGH CARD
K5s5457.4%+7.4HIGH CARD
J9s5552.9%+2.9HIGH CARD
Q9o5657.4%+7.4HIGH CARD
JTo5754.6%+4.6HIGH CARD
K7o5859.7%+9.7HIGH CARD
K4s5957.7%+7.7HIGH CARD
A2o6053.1%+3.1HIGH CARD
Q7s6156.2%+6.2HIGH CARD
K6o6259.6%+9.6HIGH CARD
K3s6371.8%+21.8DOMINATING
J8s6453.5%+3.5HIGH CARD
T9s6552.0%+2.0HIGH CARD
Q8o6658.4%+8.4HIGH CARD
336733.4%-16.6PAIR VS CARDS
Q6s6855.7%+5.7HIGH CARD
K2s6961.6%+11.6HIGH CARD
J9o7056.2%+6.2HIGH CARD
K5o7161.0%+11.0HIGH CARD
Q5s7257.1%+7.1HIGH CARD
J7s7354.8%+4.8HIGH CARD
T8s7452.5%+2.5HIGH CARD
K4o7561.3%+11.3HIGH CARD
Q7o7659.6%+9.6HIGH CARD
Q4s7757.5%+7.5HIGH CARD
J8o7857.1%+7.1HIGH CARD
T9o7955.0%+5.0HIGH CARD
K3o8076.2%+26.2DOMINATING
Q3s8171.3%+21.3DOMINATING
Q6o8259.2%+9.2HIGH CARD
98s8351.8%+1.8HIGH CARD
T7s8453.6%+3.6HIGH CARD
J6s8556.0%+6.0HIGH CARD
K2o8665.3%+15.3HIGH CARD
Q5o8760.7%+10.7HIGH CARD
228846.8%-3.2PAIR VS CARDS
Q2s8961.3%+11.3HIGH CARD
J5s9056.7%+6.7HIGH CARD
T8o9155.6%+5.6HIGH CARD
J7o9258.3%+8.3HIGH CARD
J4s9357.1%+7.1HIGH CARD
97s9453.3%+3.3HIGH CARD
Q4o9560.9%+10.9HIGH CARD
T6s9654.7%+4.7HIGH CARD
J3s9771.3%+21.3DOMINATING
98o9854.8%+4.8HIGH CARD
T7o9957.1%+7.1HIGH CARD
Q3o10075.7%+25.7DOMINATING
87s10151.8%+1.8HIGH CARD
J6o10259.2%+9.2HIGH CARD
J2s10361.0%+11.0HIGH CARD
96s10453.9%+3.9HIGH CARD
Q2o10565.1%+15.1HIGH CARD
J5o10660.3%+10.3HIGH CARD
T5s10756.8%+6.8HIGH CARD
T4s10856.6%+6.6HIGH CARD
97o10956.2%+6.2HIGH CARD
86s11052.3%+2.3HIGH CARD
J4o11160.8%+10.8HIGH CARD
T6o11258.1%+8.1HIGH CARD
T3s11370.5%+20.5DOMINATING
95s11456.1%+6.1HIGH CARD
76s11551.9%+1.9HIGH CARD
J3o11675.1%+25.1DOMINATING
87o11754.6%+4.6HIGH CARD
T2s11860.6%+10.6HIGH CARD
85s11954.8%+4.8HIGH CARD
96o12057.3%+7.3HIGH CARD
T5o12160.4%+10.4HIGH CARD
J2o12264.6%+14.6HIGH CARD
94s12357.1%+7.1HIGH CARD
75s12454.4%+4.4HIGH CARD
T4o12560.3%+10.3HIGH CARD
93s12670.9%+20.9DOMINATING
86o12755.5%+5.5HIGH CARD
65s12853.2%+3.2HIGH CARD
95o12959.6%+9.6HIGH CARD
84s13055.8%+5.8HIGH CARD
T3o13175.0%+25.0DOMINATING
92s13260.8%+10.8HIGH CARD
76o13355.3%+5.3HIGH CARD
74s13455.5%+5.5HIGH CARD
T2o13564.3%+14.3HIGH CARD
64s13654.5%+4.5HIGH CARD
85o13757.9%+7.9HIGH CARD
54s13853.8%+3.8HIGH CARD
83s13970.5%+20.5DOMINATING
94o14060.8%+10.8HIGH CARD
75o14157.5%+7.5HIGH CARD
82s14260.4%+10.4HIGH CARD
73s14369.7%+19.7DOMINATING
65o14456.5%+6.5HIGH CARD
93o14574.9%+24.9DOMINATING
53s14668.4%+18.4DOMINATING
63s14768.1%+18.1DOMINATING
84o14859.2%+9.2HIGH CARD
92o14964.6%+14.6HIGH CARD
43s15068.9%+18.9DOMINATING
74o15158.7%+8.7HIGH CARD
54o15256.9%+6.9HIGH CARD
72s15361.0%+11.0HIGH CARD
52s15459.1%+9.1HIGH CARD
64o15557.9%+7.9HIGH CARD
62s15660.2%+10.2HIGH CARD
83o15774.9%+24.9DOMINATING
42s15859.6%+9.6HIGH CARD
82o15964.3%+14.3HIGH CARD
73o16073.8%+23.8DOMINATING
53o16172.4%+22.4DOMINATING
63o16272.1%+22.1DOMINATING
32s16371.4%+21.4DOMINATING
43o16472.7%+22.7DOMINATING
72o16564.6%+14.6HIGH CARD
52o16663.1%+13.1HIGH CARD
62o16763.9%+13.9HIGH CARD
42o16863.4%+13.4HIGH CARD
32o16975.7%+25.7DOMINATING

Showing 168 of 168 rows

Related

Nearby ranks
Suited / offsuit twin
A3s58.2%

FAQ

What is the equity of A3o?

55.9% against one random opponent, which ranks it 53 of 169. Six-handed (five opponents) it is 16.9%, and nine-handed (eight opponents) 10.9%.

How much better is A3o than A3s?

A3o is worth 55.9% and A3s 58.2%, a difference of 2.3 points — rank 53 versus rank 38.

How many of the 168 other hands does A3o beat?

It is a heads-up favourite over 134 hands and an underdog against 34. 1 opponents sit within one point of a 50/50 coinflip.

439 words / 42 distinct figures — Method