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What is every hand worth on an A 2 3 rainbow flop?

On an A 2 3 rainbow flop, 54 flops the wheel and tops the table, aces with wheel draws and the three sets are big favorites, and middling suited connectors become some of the worst hands in the deck.

A 2 3 rainbow

Low and wheel boards

Equity vs one random hand

54o 95.1%
AA 93.7%
33 92.7%
22 92.1%

Notable hands on A 2 3 rainbow

HandFlopsEquityWhy it matters
54o straight 95.1% The flopped wheel, no suits required. It beats top set and everything else.
AA set 93.7% Top set, and somehow still second place on this board.
33 set 92.7% Middle set from a hand that was only ever hoping for exactly this.
22 set 92.1% Bottom set. The smallest pair in poker, cashing its lottery ticket.
A2s two pair 88.3% Top and bottom pair with wheel cards everywhere around it.
A5s pair 84.9% Top pair plus a gutshot to the wheel, the most graceful hand on the flop.
AKo pair 84.0% Top pair, best kicker, no straight nonsense. Simple and strong.
KK nothing yet 75.3% No longer an overpair, and every random ace has it beaten already.
KQo nothing yet 49.7% A premium-looking hand reduced to a true coin flip.
87s nothing yet 24.8% The shock of the table: a pretty suited connector performing worse than outright junk.

A 2 3 rainbow is the wheel board, and it plays by its own rules. The ace on top makes it feel like an ace-high texture, but the two babies underneath open a straight that only the smallest cards can complete. There are no flush draws with three suits out, so the whole flop is a quiet tug-of-war between aces, tiny pairs, and the wheel.

The wheel is already here for 54, which flops five high through the ace and beats everything, top set of aces included. Aces, treys, and deuces made their sets. A2 and A3 flopped two pair, and the really elegant holdings are A4 and A5: top pair with a gutshot to the wheel, a combination that plays beautifully on every runout. Even a plain AK holds top pair with the best kicker and no complications.

The strangest result on this flop is who ends up at the bottom. It is not the usual offsuit junk. It is the handsome middle of the deck: hands like 87 and 98, suited or not, have no pair, no live draw, and overcards that outrank nothing important, and they perform worse against a random hand than genuine trash that at least contains a deuce or a trey. Pocket kings arrive demoted too: no longer an overpair, with every random ace already past them.

The mistake pattern is symmetrical. Players overvalue big broadway cards that missed, KQ is a true coin flip here, and undervalue the little hands that hit, since a bare deuce with a live kicker is quietly fine against a random hand. And when a four lands on the turn and the player who limped small cards wakes up, believe the wheel more often than you want to.

All 169 hands on A 2 3 rainbow

Equity of every starting hand class against one random opponent hand on A 2 3 rainbow, averaged over the class's possible suit combinations. Sorted best to worst within each group.

Pairs

HandFlopsEquity
AA set 93.7%
33 set 92.7%
22 set 92.1%
KK 75.3%
QQ 73.5%
JJ 71.6%
TT 69.6%
55 68.1%
99 67.9%
44 67.6%
88 65.7%
77 63.9%
66 62.9%

Suited

HandFlopsEquity
54s straight 95.0%
A3s two pair 89.4%
A2s two pair 88.3%
A5s pair 84.9%
AKs pair 84.6%
A4s pair 84.4%
AQs pair 84.0%
AJs pair 83.6%
ATs pair 83.0%
32s two pair 82.5%
A9s pair 82.3%
A8s pair 81.9%
A6s pair 81.8%
A7s pair 81.4%
53s pair 66.9%
43s pair 66.9%
K3s pair 63.1%
Q3s pair 62.5%
J3s pair 62.1%
T3s pair 61.5%
42s pair 61.2%
52s pair 61.1%
93s pair 60.9%
63s pair 60.7%
83s pair 60.5%
73s pair 60.0%
K2s pair 56.8%
Q2s pair 56.2%
J2s pair 55.6%
T2s pair 55.2%
92s pair 54.5%
82s pair 54.1%
62s pair 53.9%
K5s 53.7%
72s pair 53.7%
K4s 53.2%
KQs 51.3%
KJs 50.4%
KTs 49.5%
Q5s 48.8%
Q4s 48.3%
K9s 47.6%
K8s 46.9%
K7s 46.1%
K6s 46.0%
QJs 44.7%
J5s 44.5%
J4s 44.2%
QTs 43.8%
Q9s 42.0%
Q8s 41.2%
T5s 40.6%
Q7s 40.4%
Q6s 40.4%
T4s 40.0%
JTs 38.7%
95s 37.5%
J9s 37.2%
94s 36.8%
J8s 36.3%
J7s 35.4%
J6s 35.3%
85s 34.7%
84s 34.2%
T9s 32.9%
75s 32.7%
65s 32.4%
T8s 31.9%
74s 31.9%
64s 31.7%
T7s 31.1%
T6s 31.1%
98s 28.5%
97s 27.7%
96s 27.7%
87s 24.8%
86s 24.7%
76s 22.6%

Offsuit

HandFlopsEquity
54o straight 95.1%
A3o two pair 89.1%
A2o two pair 88.0%
A5o pair 84.6%
A4o pair 84.1%
AKo pair 84.0%
AQo pair 83.4%
AJo pair 82.8%
32o two pair 82.4%
ATo pair 82.2%
A9o pair 81.6%
A8o pair 81.3%
A6o pair 81.0%
A7o pair 80.8%
53o pair 66.0%
43o pair 65.9%
K3o pair 61.8%
Q3o pair 61.0%
J3o pair 60.7%
T3o pair 60.2%
52o pair 60.0%
42o pair 59.9%
93o pair 59.8%
83o pair 59.4%
63o pair 59.3%
73o pair 58.8%
K2o pair 55.3%
Q2o pair 54.6%
J2o pair 53.9%
T2o pair 53.7%
92o pair 52.7%
62o pair 52.5%
82o pair 52.3%
K5o 52.1%
72o pair 51.9%
K4o 51.7%
KQo 49.7%
KJo 48.4%
KTo 47.6%
Q5o 47.1%
Q4o 46.5%
K9o 45.9%
K8o 44.8%
K7o 44.0%
K6o 44.0%
QJo 42.6%
J5o 42.5%
J4o 42.0%
QTo 41.8%
Q9o 39.9%
Q8o 39.1%
T5o 38.4%
Q7o 38.3%
Q6o 38.0%
T4o 37.9%
JTo 36.7%
95o 35.0%
J9o 34.8%
94o 34.7%
J8o 33.8%
J6o 32.9%
J7o 32.8%
85o 32.4%
84o 31.8%
T9o 30.5%
75o 30.3%
65o 30.0%
74o 29.7%
64o 29.4%
T8o 29.3%
T7o 28.6%
T6o 28.5%
98o 25.9%
97o 25.0%
96o 25.0%
87o 22.1%
86o 22.0%
76o 19.9%

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