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offsuitbroadwayace high

AJo

63.6%
Equity vs one random hand — #15 of 169

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

Heads-up (1 opponent)
63.6% · #15
6-handed (5 opponents)
24.3% · #21
9-handed (8 opponents)
16.1% · #24
Chen score
8
Combos
12 / 1,326
Dealt frequency
0.9%
Favourite against
150 of 168 hands

AJo (ace-jack offsuit) wins 63.6% of the time against a single random opponent, which places it 15th out of the 169 starting hands — the top 8.9% of the range. At a six-handed table (five opponents) its equity falls to 24.3% and its rank moves to 21; nine-handed (eight opponents) it holds 16.1% for rank 24. An ace-high hand — watch out for kicker trouble and domination.

Its suited/offsuit twin AJs runs at 65.4% (rank 11), a gap of 1.8 points. Losing the shared suit costs 1.8 points of raw equity. The hand directly above it in the ranking is AQo at 64.4%, and directly below is KQs at 63.4%, so three hands are packed into a band of 1 points.

Played heads-up against each of the other 168 hands, AJo is a favourite against 150 of them and an underdog against 18. Its best matchup is J2o at 77.4% and its worst is AA at 7.6% — a spread of 69.8 points, which is why calling AJo simply "strong" or "weak" says very little.

AJo dominates 8 hands that share one of its ranks, pushing hardest against J2o at 77.4%. It is dominated by 4 hands in return, the worst of them AKs, which leaves AJo with only 24.7%. 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 3 of 78. The strongest hand in that group, AKo, is 1.8 points away, and the weakest, 32o, sits 31.3 points below. Measured against the average equity of all 169 hands, 51%, AJo lands +12.6 points from the middle of the pack, and 14 hands in the full ranking are still ahead of it.

Adding players costs equity steadily: 63.6% against one opponent, 45.4% against two, 28.7% against four and 16.1% against eight. That last figure is 145% of an even nine-way share (11.1%). The Chen formula scores this hand at 8 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 AJo reads as 63.6% 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 63.6% against one opponent down to 16.1% against eight. The x-axis is the number of opponents.

0%35%70%63.6145.4235.2328.7424.3521.1618.1716.18opponents
Flop odds

How often AJo hits the flop

Exact counts over all 19,600 flops and 2,118,760 five-card boards from the 50 cards left once your two are out — no simulation.

AJo pairs the board on the flop — at least one of its two ranks hits — 32.4% of the time, and flops top pair or better (the paired card is the highest on the board, or two pair and up) 27.6%. By the river it has made a pair or better 48.7% of the time.

For straights, the flop completes one 0.327% of the time (64 flops), gives an eight-out draw 0.980% and a four-out gutshot 12.0%. By the river a straight using a hole card completes 3.89% of the time.

Put together, AJo flops a pair or better or a strong draw (an eight-out straight draw) 33.7% of the time — rank 143 of the 156 unpaired hands (tied with 6 others). The highest is JTs, T9s, 98s and 4 others at 50.6% and the lowest AKo, A2o at 32.8%.

OutcomeProbabilityCount / totalFrequencyOdds against
Flop a pair or better (either card hits)32.4%6,356 / 19,6001 in 3.12.1 to 1
top pair or better (highest card on board, or two pair and up)27.6%5,408 / 19,6001 in 3.62.6 to 1
two pair (both cards hit)2.02%396 / 19,6001 in 49.548.5 to 1
trips (one card hits twice)1.35%264 / 19,6001 in 74.273.2 to 1
Flop a made straight0.327%64 / 19,6001 in 306305 to 1
Flop an eight-out straight draw0.980%192 / 19,6001 in 102101 to 1
Flop a four-out gutshot12.0%2,352 / 19,6001 in 8.37.3 to 1
Pair or better, or a strong draw (eight-out straight draw) or better33.7%6,612 / 19,6001 in 3.02.0 to 1
Pair or better by the river48.7%1,032,752 / 2,118,7601 in 2.11.1 to 1
Straight by the river (using a hole card)3.89%82,352 / 2,118,7601 in 25.724.7 to 1
By flop texture

How the flop moves AJo's equity

Equity against one random hand with the flop out and the turn and river to come. Exact counts over every deal of the opponent's two cards and the board — no simulation.

Against one random hand, AJo goes from 63.6% before the flop up to 83.2% when either card pairs, and down to 54.1% when both miss. It connects 32.4% of the time (6,356 of 19,600 flops). Nothing ranks above A, so a miss never brings an overcard.

By board shape: rainbow 64.3%, two-tone 63.2%, monotone 61.7%. A monotone flop in one of your suits gives 71.5%. A paired board gives 65.7%, and a connected board (three ranks within five) 59.4%. The best row in the table is "Either card hits (a matching rank on the flop)" at 83.2%, the worst "Neither card hits" at 54.1%.

The 63.6% at the top of the page is a 400,000-hand simulation; this table counts every deal of the opponent's two cards and the five-card board (2,097,572,400 per starting hand), which puts the pre-flop figure at 63.56% (a gap of 0.04 points). Each equity is taken with the flop out and the turn and river still to come.

FlopHow oftenFlops (of 19,600)AJo equityvs before the flop
Before the flop (average of every flop)100.0%19,60063.6%—
Either card hits (a matching rank on the flop)32.4%6,35683.2%+19.7pt
Neither card hits67.6%13,24454.1%−9.4pt
Rainbow (three different suits)39.8%7,80064.3%+0.7pt
Two-tone (two cards share a suit)55.0%10,78863.2%−0.3pt
Monotone (all three one suit)5.16%1,01261.7%−1.8pt
Monotone in one of your suits2.24%44071.5%+8.0pt
Exactly two cards of one of your suits25.6%5,01663.3%−0.3pt
Paired board (two or more of a rank)17.2%3,36465.7%+2.1pt
Connected board (three ranks within five, A can play low)18.8%3,67659.4%−4.1pt
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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AJo played heads-up against each of the other 168 hands
Opponent handOpp. rankAJo equityvs 50%Shape
AA17.6%-42.4PAIR VS CARDS
KK228.7%-21.3PAIR VS CARDS
QQ328.2%-21.8PAIR VS CARDS
JJ430.5%-19.5PAIR VS CARDS
TT543.0%-7.0PAIR VS CARDS
99644.6%-5.4PAIR VS CARDS
88744.8%-5.2PAIR VS CARDS
AKs824.7%-25.3DOMINATED
77945.4%-4.6PAIR VS CARDS
AQs1024.9%-25.1DOMINATED
AJs1147.5%-2.5HIGH CARD
AKo1225.9%-24.1DOMINATED
ATs1368.6%+18.6DOMINATING
AQo1426.1%-23.9DOMINATED
KQs1656.4%+6.4HIGH CARD
661745.8%-4.2PAIR VS CARDS
A9s1868.8%+18.8DOMINATING
ATo1972.9%+22.9DOMINATING
KJs2070.3%+20.3DOMINATING
A8s2168.5%+18.5DOMINATING
KTs2259.2%+9.2HIGH CARD
KQo2359.8%+9.8HIGH CARD
A7s2468.4%+18.4DOMINATING
A9o2573.2%+23.2DOMINATING
KJo2674.5%+24.5DOMINATING
552746.2%-3.8PAIR VS CARDS
QJs2868.8%+18.8DOMINATING
A6s2968.6%+18.6DOMINATING
K9s3060.6%+10.6HIGH CARD
A8o3172.6%+22.6DOMINATING
A5s3267.1%+17.1DOMINATING
KTo3363.0%+13.0HIGH CARD
QTs3458.2%+8.2HIGH CARD
A4s3567.4%+17.4DOMINATING
A7o3672.7%+22.7DOMINATING
K8s3761.2%+11.2HIGH CARD
A3s3868.0%+18.0DOMINATING
QJo3972.8%+22.8DOMINATING
K9o4064.2%+14.2HIGH CARD
Q9s4159.4%+9.4HIGH CARD
A5o4271.1%+21.1DOMINATING
A2s4368.3%+18.3DOMINATING
K7s4460.7%+10.7HIGH CARD
A6o4572.8%+22.8DOMINATING
JTs4667.2%+17.2DOMINATING
QTo4761.6%+11.6HIGH CARD
444846.6%-3.4PAIR VS CARDS
K6s4960.9%+10.9HIGH CARD
A4o5071.7%+21.7DOMINATING
Q8s5160.1%+10.1HIGH CARD
K8o5265.1%+15.1HIGH CARD
A3o5372.0%+22.0DOMINATING
K5s5460.8%+10.8HIGH CARD
J9s5569.4%+19.4DOMINATING
Q9o5663.0%+13.0HIGH CARD
JTo5771.4%+21.4DOMINATING
K7o5864.4%+14.4HIGH CARD
K4s5961.3%+11.3HIGH CARD
A2o6072.6%+22.6DOMINATING
Q7s6161.1%+11.1HIGH CARD
K6o6264.7%+14.7HIGH CARD
K3s6361.5%+11.5HIGH CARD
J8s6468.8%+18.8DOMINATING
T9s6560.0%+10.0HIGH CARD
Q8o6663.9%+13.9HIGH CARD
336747.2%-2.8PAIR VS CARDS
Q6s6860.7%+10.7HIGH CARD
K2s6961.7%+11.7HIGH CARD
J9o7073.5%+23.5DOMINATING
K5o7164.6%+14.6HIGH CARD
Q5s7261.0%+11.0HIGH CARD
J7s7370.2%+20.2DOMINATING
T8s7460.8%+10.8HIGH CARD
K4o7564.9%+14.9HIGH CARD
Q7o7664.8%+14.8HIGH CARD
Q4s7761.0%+11.0HIGH CARD
J8o7873.2%+23.2DOMINATING
T9o7963.5%+13.5HIGH CARD
K3o8065.3%+15.3HIGH CARD
Q3s8161.2%+11.2HIGH CARD
Q6o8264.5%+14.5HIGH CARD
98s8359.2%+9.2HIGH CARD
T7s8461.8%+11.8HIGH CARD
J6s8571.5%+21.5DOMINATING
K2o8665.7%+15.7HIGH CARD
Q5o8764.4%+14.4HIGH CARD
228847.9%-2.1PAIR VS CARDS
Q2s8961.9%+11.9HIGH CARD
J5s9071.4%+21.4DOMINATING
T8o9164.4%+14.4HIGH CARD
J7o9274.5%+24.5DOMINATING
J4s9371.8%+21.8DOMINATING
97s9460.2%+10.2HIGH CARD
Q4o9564.8%+14.8HIGH CARD
T6s9662.7%+12.7HIGH CARD
J3s9772.5%+22.5DOMINATING
98o9862.9%+12.9HIGH CARD
T7o9965.6%+15.6HIGH CARD
Q3o10065.3%+15.3HIGH CARD
87s10159.0%+9.0HIGH CARD
J6o10275.8%+25.8DOMINATING
J2s10372.8%+22.8DOMINATING
96s10461.3%+11.3HIGH CARD
Q2o10565.5%+15.5HIGH CARD
J5o10675.7%+25.7DOMINATING
T5s10764.2%+14.2HIGH CARD
T4s10864.1%+14.1HIGH CARD
97o10963.8%+13.8HIGH CARD
86s11060.0%+10.0HIGH CARD
J4o11176.4%+26.4DOMINATING
T6o11266.6%+16.6HIGH CARD
T3s11364.5%+14.5HIGH CARD
95s11462.5%+12.5HIGH CARD
76s11559.2%+9.2HIGH CARD
J3o11677.0%+27.0DOMINATING
87o11762.4%+12.4HIGH CARD
T2s11864.9%+14.9HIGH CARD
85s11961.2%+11.2HIGH CARD
96o12064.9%+14.9HIGH CARD
T5o12168.0%+18.0HIGH CARD
J2o12277.4%+27.4DOMINATING
94s12363.5%+13.5HIGH CARD
75s12460.1%+10.1HIGH CARD
T4o12568.1%+18.1HIGH CARD
93s12663.8%+13.8HIGH CARD
86o12763.5%+13.5HIGH CARD
65s12859.1%+9.1HIGH CARD
95o12966.1%+16.1HIGH CARD
84s13062.7%+12.7HIGH CARD
T3o13168.3%+18.3HIGH CARD
92s13264.2%+14.2HIGH CARD
76o13362.9%+12.9HIGH CARD
74s13461.3%+11.3HIGH CARD
T2o13568.7%+18.7HIGH CARD
64s13660.3%+10.3HIGH CARD
85o13764.9%+14.9HIGH CARD
54s13859.1%+9.1HIGH CARD
83s13963.9%+13.9HIGH CARD
94o14067.7%+17.7HIGH CARD
75o14163.8%+13.8HIGH CARD
82s14263.8%+13.8HIGH CARD
73s14362.6%+12.6HIGH CARD
65o14462.5%+12.5HIGH CARD
93o14567.8%+17.8HIGH CARD
53s14660.3%+10.3HIGH CARD
63s14761.3%+11.3HIGH CARD
84o14866.4%+16.4HIGH CARD
92o14968.1%+18.1HIGH CARD
43s15060.4%+10.4HIGH CARD
74o15165.1%+15.1HIGH CARD
54o15262.5%+12.5HIGH CARD
72s15363.9%+13.9HIGH CARD
52s15461.6%+11.6HIGH CARD
64o15564.0%+14.0HIGH CARD
62s15663.0%+13.0HIGH CARD
83o15767.8%+17.8HIGH CARD
42s15861.9%+11.9HIGH CARD
82o15967.7%+17.7HIGH CARD
73o16066.4%+16.4HIGH CARD
53o16163.9%+13.9HIGH CARD
63o16265.4%+15.4HIGH CARD
32s16362.2%+12.2HIGH CARD
43o16464.4%+14.4HIGH CARD
72o16568.0%+18.0HIGH CARD
52o16665.3%+15.3HIGH CARD
62o16766.7%+16.7HIGH CARD
42o16865.8%+15.8HIGH CARD
32o16966.0%+16.0HIGH CARD

Showing 168 of 168 rows

Related

Nearby ranks
Suited / offsuit twin
AJs65.4%

FAQ

What is the equity of AJo?

63.6% against one random opponent, which ranks it 15 of 169. Six-handed (five opponents) it is 24.3%, and nine-handed (eight opponents) 16.1%.

How much better is AJo than AJs?

AJo is worth 63.6% and AJs 65.4%, a difference of 1.8 points — rank 15 versus rank 11.

How many of the 168 other hands does AJo beat?

It is a heads-up favourite over 150 hands and an underdog against 18. 0 opponents sit within one point of a 50/50 coinflip.

How often does AJo hit the flop?

A pair or better 32.4%, top pair or better 27.6%. A made straight 0.327% and an eight-out straight draw 0.980%. One of those happens 33.7% of the time (all 19,600 flops counted).

What is AJo worth when it misses the flop?

Against one random hand, 54.1% on a flop where neither card pairs (63.6% before the flop, 83.2% when it connects). Exact counts over every deal of the opponent's cards and the board.

424 words / 38 distinct figures — Method