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pocket pair

77

66.3%
Equity vs one random hand — #9 of 169

A small pair — cheap to play, huge when it flops a set.

Heads-up (1 opponent)
66.3% · #9
6-handed (5 opponents)
22.0% · #34
9-handed (8 opponents)
14.6% · #39
Chen score
7
Combos
6 / 1,326
Dealt frequency
0.45%
Favourite against
157 of 168 hands

77 (pocket sevens) wins 66.3% of the time against a single random opponent, which places it 9th out of the 169 starting hands — the top 5.3% of the range. At a six-handed table (five opponents) its equity falls to 22.0% and its rank moves to 34; nine-handed (eight opponents) it holds 14.6% for rank 39. A small pair — cheap to play, huge when it flops a set.

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 AKs at 67.2% and one place below is AQs at 66.2%. 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, 77 is a favourite against 157 of them and an underdog against 11. Its best matchup is 72o at 93.5% and its worst is 88 at 18.2% — a spread of 75.3 points, which is why calling 77 simply "strong" or "weak" says very little. 5 opponents land inside one point of a coinflip, the closest being T9s at 50.0%.

77 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 18.2%. The table further down lists all 168 opponents individually.

Within the 13 pocket pairs it comes 8 of 13. The strongest hand in that group, AA, is 18.9 points away, and the weakest, 22, sits 16.1 points below. Measured against the average equity of all 169 hands, 51%, 77 lands +15.3 points from the middle of the pack, and 8 hands in the full ranking are still ahead of it.

Adding players costs equity steadily: 66.3% against one opponent, 46.5% against two, 26.9% against four and 14.6% against eight. That last figure is 132% of an even nine-way share (11.1%). The Chen formula scores this hand at 7 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 77 reads as 66.3% 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 66.3% against one opponent down to 14.6% against eight. The x-axis is the number of opponents.

0%35%70%66.3146.5234.3326.9422.0518.8616.5714.68opponents
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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77 played heads-up against each of the other 168 hands
Opponent handOpp. rank77 equityvs 50%Shape
AA119.6%-30.4PAIR VS PAIR
KK219.4%-30.6PAIR VS PAIR
QQ319.2%-30.8PAIR VS PAIR
JJ418.9%-31.1PAIR VS PAIR
TT518.6%-31.4PAIR VS PAIR
99618.7%-31.3PAIR VS PAIR
88718.2%-31.8PAIR VS PAIR
AKs852.3%+2.3PAIR VS CARDS
AQs1051.8%+1.8PAIR VS CARDS
AJs1152.1%+2.1PAIR VS CARDS
AKo1255.0%+5.0PAIR VS CARDS
ATs1352.0%+2.0PAIR VS CARDS
AQo1454.5%+4.5PAIR VS CARDS
AJo1554.6%+4.6PAIR VS CARDS
KQs1651.3%+1.3PAIR VS CARDS
661781.6%+31.6PAIR VS PAIR
A9s1853.5%+3.5PAIR VS CARDS
ATo1954.9%+4.9PAIR VS CARDS
KJs2051.1%+1.1PAIR VS CARDS
A8s2153.7%+3.7PAIR VS CARDS
KTs2251.5%+1.5PAIR VS CARDS
KQo2353.7%+3.7PAIR VS CARDS
A7s2465.5%+15.5PAIR VS CARDS
A9o2556.4%+6.4PAIR VS CARDS
KJo2654.0%+4.0PAIR VS CARDS
552781.2%+31.2PAIR VS PAIR
QJs2849.5%-0.5COINFLIP
A6s2967.4%+17.4PAIR VS CARDS
K9s3053.0%+3.0PAIR VS CARDS
A8o3156.7%+6.7PAIR VS CARDS
A5s3265.8%+15.8PAIR VS CARDS
KTo3354.0%+4.0PAIR VS CARDS
QTs3449.7%-0.3COINFLIP
A4s3565.8%+15.8PAIR VS CARDS
A7o3669.8%+19.8PAIR VS CARDS
K8s3753.8%+3.8PAIR VS CARDS
A3s3866.4%+16.4PAIR VS CARDS
QJo3952.1%+2.1PAIR VS CARDS
K9o4055.6%+5.6PAIR VS CARDS
Q9s4151.3%+1.3PAIR VS CARDS
A5o4269.1%+19.1PAIR VS CARDS
A2s4366.6%+16.6PAIR VS CARDS
K7s4465.5%+15.5PAIR VS CARDS
A6o4570.8%+20.8PAIR VS CARDS
JTs4649.4%-0.6COINFLIP
QTo4752.0%+2.0PAIR VS CARDS
444881.2%+31.2PAIR VS PAIR
K6s4967.0%+17.0PAIR VS CARDS
A4o5069.5%+19.5PAIR VS CARDS
Q8s5152.4%+2.4PAIR VS CARDS
K8o5256.8%+6.8PAIR VS CARDS
A3o5369.7%+19.7PAIR VS CARDS
K5s5466.8%+16.8PAIR VS CARDS
J9s5550.9%+0.9COINFLIP
Q9o5653.7%+3.7PAIR VS CARDS
JTo5751.5%+1.5PAIR VS CARDS
K7o5869.6%+19.6PAIR VS CARDS
K4s5967.1%+17.1PAIR VS CARDS
A2o6070.2%+20.2PAIR VS CARDS
Q7s6165.4%+15.4PAIR VS CARDS
K6o6270.6%+20.6PAIR VS CARDS
K3s6367.4%+17.4PAIR VS CARDS
J8s6451.9%+1.9PAIR VS CARDS
T9s6550.0%+0.0COINFLIP
Q8o6655.1%+5.1PAIR VS CARDS
336781.3%+31.3PAIR VS PAIR
Q6s6866.7%+16.7PAIR VS CARDS
K2s6967.8%+17.8PAIR VS CARDS
J9o7053.3%+3.3PAIR VS CARDS
K5o7170.5%+20.5PAIR VS CARDS
Q5s7266.3%+16.3PAIR VS CARDS
J7s7364.2%+14.2PAIR VS CARDS
T8s7451.2%+1.2PAIR VS CARDS
K4o7570.5%+20.5PAIR VS CARDS
Q7o7669.6%+19.6PAIR VS CARDS
Q4s7766.9%+16.9PAIR VS CARDS
J8o7854.7%+4.7PAIR VS CARDS
T9o7952.6%+2.6PAIR VS CARDS
K3o8070.8%+20.8PAIR VS CARDS
Q3s8166.8%+16.8PAIR VS CARDS
Q6o8270.1%+20.1PAIR VS CARDS
98s8351.1%+1.1PAIR VS CARDS
T7s8462.7%+12.7PAIR VS CARDS
J6s8567.1%+17.1PAIR VS CARDS
K2o8671.4%+21.4PAIR VS CARDS
Q5o8769.9%+19.9PAIR VS CARDS
228881.9%+31.9PAIR VS PAIR
Q2s8967.4%+17.4PAIR VS CARDS
J5s9066.6%+16.6PAIR VS CARDS
T8o9154.2%+4.2PAIR VS CARDS
J7o9267.8%+17.8PAIR VS CARDS
J4s9366.9%+16.9PAIR VS CARDS
97s9461.9%+11.9PAIR VS CARDS
Q4o9570.0%+20.0PAIR VS CARDS
T6s9666.7%+16.7PAIR VS CARDS
J3s9767.0%+17.0PAIR VS CARDS
98o9853.5%+3.5PAIR VS CARDS
T7o9966.4%+16.4PAIR VS CARDS
Q3o10070.6%+20.6PAIR VS CARDS
87s10160.8%+10.8PAIR VS CARDS
J6o10270.5%+20.5PAIR VS CARDS
J2s10367.4%+17.4PAIR VS CARDS
96s10466.6%+16.6PAIR VS CARDS
Q2o10570.9%+20.9PAIR VS CARDS
J5o10670.2%+20.2PAIR VS CARDS
T5s10766.9%+16.9PAIR VS CARDS
T4s10866.8%+16.8PAIR VS CARDS
97o10965.4%+15.4PAIR VS CARDS
86s11066.6%+16.6PAIR VS CARDS
J4o11170.4%+20.4PAIR VS CARDS
T6o11270.1%+20.1PAIR VS CARDS
T3s11367.2%+17.2PAIR VS CARDS
95s11467.0%+17.0PAIR VS CARDS
76s11581.8%+31.8PAIR VS CARDS
J3o11670.8%+20.8PAIR VS CARDS
87o11764.4%+14.4PAIR VS CARDS
T2s11867.6%+17.6PAIR VS CARDS
85s11966.9%+16.9PAIR VS CARDS
96o12070.1%+20.1PAIR VS CARDS
T5o12170.6%+20.6PAIR VS CARDS
J2o12271.2%+21.2PAIR VS CARDS
94s12367.6%+17.6PAIR VS CARDS
75s12482.8%+32.8PAIR VS CARDS
T4o12570.6%+20.6PAIR VS CARDS
93s12667.8%+17.8PAIR VS CARDS
86o12769.7%+19.7PAIR VS CARDS
65s12881.3%+31.3PAIR VS CARDS
95o12970.6%+20.6PAIR VS CARDS
84s13067.6%+17.6PAIR VS CARDS
T3o13170.7%+20.7PAIR VS CARDS
92s13268.3%+18.3PAIR VS CARDS
76o13386.6%+36.6PAIR VS CARDS
74s13484.7%+34.7PAIR VS CARDS
T2o13571.1%+21.1PAIR VS CARDS
64s13681.8%+31.8PAIR VS CARDS
85o13770.5%+20.5PAIR VS CARDS
54s13879.7%+29.7PAIR VS CARDS
83s13968.6%+18.6PAIR VS CARDS
94o14071.2%+21.2PAIR VS CARDS
75o14187.8%+37.8PAIR VS CARDS
82s14268.9%+18.9PAIR VS CARDS
73s14386.6%+36.6PAIR VS CARDS
65o14485.4%+35.4PAIR VS CARDS
93o14571.4%+21.4PAIR VS CARDS
53s14680.4%+30.4PAIR VS CARDS
63s14782.3%+32.3PAIR VS CARDS
84o14871.2%+21.2PAIR VS CARDS
92o14971.9%+21.9PAIR VS CARDS
43s15080.5%+30.5PAIR VS CARDS
74o15189.9%+39.9PAIR VS CARDS
54o15283.9%+33.9PAIR VS CARDS
72s15388.2%+38.2PAIR VS CARDS
52s15481.3%+31.3PAIR VS CARDS
64o15585.9%+35.9PAIR VS CARDS
62s15683.1%+33.1PAIR VS CARDS
83o15772.0%+22.0PAIR VS CARDS
42s15881.3%+31.3PAIR VS CARDS
82o15972.5%+22.5PAIR VS CARDS
73o16091.6%+41.6PAIR VS CARDS
53o16184.5%+34.5PAIR VS CARDS
63o16286.5%+36.5PAIR VS CARDS
32s16382.0%+32.0PAIR VS CARDS
43o16484.6%+34.6PAIR VS CARDS
72o16593.5%+43.5PAIR VS CARDS
52o16685.2%+35.2PAIR VS CARDS
62o16787.3%+37.3PAIR VS CARDS
42o16885.4%+35.4PAIR VS CARDS
32o16986.0%+36.0PAIR VS CARDS

Showing 168 of 168 rows

Related

FAQ

What is the equity of 77?

66.3% against one random opponent, which ranks it 9 of 169. Six-handed (five opponents) it is 22.0%, and nine-handed (eight opponents) 14.6%.

Which hand is the worst matchup for 77?

88, which leaves 77 with 18.2%. Its best matchup is 72o at 93.5%.

How many of the 168 other hands does 77 beat?

It is a heads-up favourite over 157 hands and an underdog against 11. 5 opponents sit within one point of a 50/50 coinflip.

451 words / 38 distinct figures — Method