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What is every hand worth on an A 7 2 rainbow flop?

On an A 7 2 rainbow flop, flopped sets and any pair of aces are big favorites over a random hand, while pocket kings and queens lose their overpair status and drop a clear tier.

A 7 2 rainbow

Dry rainbow boards

Equity vs one random hand

AA 97.5%
77 96.7%
22 95.8%
AKo 89.0%

Notable hands on A 7 2 rainbow

HandFlopsEquityWhy it matters
AA set 97.5% Top set on a bone-dry board. Practically untouchable.
77 set 96.7% Middle set, the best hand that does not contain an ace.
22 set 95.8% Bottom set, flopped by the smallest pair in the deck.
AKo pair 89.0% Top pair top kicker, dominating every weaker ace a random hand can show up with.
A2s two pair 92.7% Top and bottom pair. A polite fold preflop in most spots, a powerhouse here.
KK nothing yet 79.7% The classic cooler in reverse: no longer an overpair, and every ace outflops it.
72o two pair 87.9% Two pair yet again. Some boards are simply built from the trash pile.
54s nothing yet 33.7% A gutshot to the wheel, the sneakiest live draw this board allows.
KQo nothing yet 52.4% Two broadway cards, zero connection to the board, and roughly a coin flip.
65s nothing yet 24.0% The suited connector that missed by a mile. Near the bottom of the entire table.

An ace on a dry board changes everything above it and almost nothing below it. A 7 2 rainbow has no flush draws and no made straights, but the ace at the top demotes every other pocket pair in one stroke. Pocket kings walked into this flop as an overpair and walked out as second pair. That single demotion is the whole story of the texture.

The winners are aces in every form. Pocket aces have the top set. AK, AQ, and AJ have top pair with kickers that dominate the random aces they will run into. Even A2 offsuit, a fold in most seats, has flopped top and bottom pair and performs like a monster. Below the ace, sevens and deuces made their sets, and 72 offsuit once again finds itself with two pair on a board built from its own junk.

There is also a hidden draw layer that dry boards usually lack. The 2 opens the door to the wheel: 54 suited holds a gutshot to the five-high straight, 43 needs only a five, and A5 or A4 combine top pair with a straight draw. None of these are strong yet, but they are the only hands on the board with real upgrade potential.

The mistake to avoid is paying off with big pocket pairs. Kings and queens still beat a random hand comfortably, because a random hand usually has nothing, but every ace in the opposing range now beats them, and aces are exactly the cards people keep. The board looks harmless, which is what makes the error expensive: it feels like an overpair even after it has stopped being one.

All 169 hands on A 7 2 rainbow

Equity of every starting hand class against one random opponent hand on A 7 2 rainbow, averaged over the class's possible suit combinations. Sorted best to worst within each group.

Pairs

HandFlopsEquity
AA set 97.5%
77 set 96.7%
22 set 95.8%
KK 79.7%
QQ 77.9%
JJ 76.0%
TT 74.1%
99 72.2%
88 70.5%
66 60.2%
55 59.3%
44 57.5%
33 55.7%

Suited

HandFlopsEquity
A7s two pair 94.2%
A2s two pair 92.7%
AKs pair 89.3%
AQs pair 88.7%
AJs pair 88.2%
72s two pair 88.0%
ATs pair 87.6%
A9s pair 87.1%
A8s pair 86.7%
A5s pair 86.1%
A4s pair 85.8%
A6s pair 85.7%
A3s pair 85.6%
K7s pair 73.2%
Q7s pair 72.6%
J7s pair 72.2%
T7s pair 71.6%
97s pair 71.3%
87s pair 70.7%
75s pair 69.3%
74s pair 69.1%
73s pair 69.0%
76s pair 68.8%
K2s pair 60.1%
Q2s pair 59.5%
J2s pair 58.9%
T2s pair 58.2%
92s pair 57.7%
82s pair 57.1%
52s pair 57.1%
32s pair 57.0%
42s pair 56.9%
62s pair 56.2%
KQs 54.1%
KJs 53.2%
KTs 52.3%
K9s 50.6%
K8s 49.6%
K5s 47.9%
K4s 47.5%
K6s 47.3%
K3s 47.3%
QJs 47.1%
QTs 46.2%
Q9s 44.5%
Q8s 43.8%
JTs 42.1%
Q5s 41.7%
Q4s 41.5%
Q3s 41.3%
Q6s 41.1%
J9s 40.2%
J8s 39.5%
T9s 36.9%
J5s 36.7%
J4s 36.2%
T8s 36.2%
J3s 36.0%
J6s 35.9%
54s 33.7%
98s 33.6%
T6s 32.5%
53s 32.3%
T5s 32.1%
T4s 31.6%
T3s 31.6%
43s 31.1%
96s 30.2%
95s 29.6%
86s 28.4%
94s 28.0%
93s 27.7%
85s 27.6%
84s 26.1%
83s 24.7%
65s 24.0%
64s 22.2%
63s 20.7%

Offsuit

HandFlopsEquity
A7o two pair 94.1%
A2o two pair 92.5%
AKo pair 89.0%
AQo pair 88.2%
72o two pair 87.9%
AJo pair 87.7%
ATo pair 87.2%
A9o pair 86.6%
A8o pair 86.2%
A5o pair 85.4%
A3o pair 85.3%
A6o pair 85.2%
A4o pair 85.2%
K7o pair 72.3%
Q7o pair 71.8%
J7o pair 71.2%
T7o pair 70.7%
97o pair 70.2%
87o pair 69.7%
75o pair 68.2%
74o pair 68.1%
73o pair 68.0%
76o pair 67.8%
K2o pair 58.4%
Q2o pair 57.8%
J2o pair 57.6%
T2o pair 56.8%
92o pair 56.2%
52o pair 55.6%
42o pair 55.6%
32o pair 55.6%
82o pair 55.5%
62o pair 54.7%
KQo 52.4%
KJo 51.5%
KTo 50.6%
K9o 48.7%
K8o 47.7%
K5o 46.0%
K4o 45.5%
K6o 45.3%
K3o 45.3%
QJo 45.0%
QTo 44.1%
Q9o 42.4%
Q8o 41.5%
JTo 39.9%
Q5o 39.7%
Q4o 39.4%
Q3o 39.1%
Q6o 39.0%
J9o 38.3%
J8o 37.1%
T9o 34.8%
J5o 34.3%
J4o 33.9%
T8o 33.8%
J3o 33.7%
J6o 33.5%
54o 31.4%
98o 31.1%
T6o 30.2%
53o 29.9%
T5o 29.6%
T4o 29.2%
43o 28.9%
T3o 28.8%
96o 27.6%
95o 27.0%
86o 25.6%
94o 25.3%
85o 25.2%
93o 25.1%
84o 23.6%
83o 22.0%
65o 21.4%
64o 19.7%
63o 18.1%

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