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What is every hand worth on an A K Q rainbow flop?

On an A K Q rainbow flop, JT flops the nut straight and outruns even top set, every big broadway holding is a huge favorite over a random hand, and the low half of the deck is close to drawing dead.

A K Q rainbow

Broadway boards

Equity vs one random hand

JTs 95.4%
JTo 95.3%
AA 93.9%
KK 93.4%

Notable hands on A K Q rainbow

HandFlopsEquityWhy it matters
JTs straight 95.4% The nut straight. The one hand that outranks top set on this board.
JTo straight 95.3% Same straight, no suits required. The whole table bows to jack-ten here.
AA set 93.9% Top set on the highest flop in the game, and still only second best.
KK set 93.4% Middle set, hemmed in slightly by the straight but a monster all the same.
AKo two pair 90.6% Top two pair, dominating every ace and king a random hand can offer.
A2s pair 81.7% The weakest ace still holds top pair on this board, and it plays like a premium.
JJ nothing yet 68.1% An underpair with a gutshot to the nuts. Odd mix, respectable equity.
99 nothing yet 56.8% Looks like a real pocket pair, plays like two blanks. A modest favorite and nothing more.
T9s nothing yet 47.2% A pretty connector reduced to a gutshot. It loses to a random hand more than it wins.
65s nothing yet 23.5% Completely uninvolved. The low half of the deck is dead on this texture.

A K Q rainbow cares more about who raised preflop than any other flop in this collection. The three highest ranks in the deck are all face up, so every premium starting hand has connected in some way, while the bottom half of the deck is left with almost nothing to hope for. With three different suits out there, no flush draw exists, and the action revolves entirely around pairs, two pair, and one very famous straight.

That straight belongs to JT, and it flips the usual hierarchy on its head: jack-ten, suited or not, flops the nut straight and outperforms even top set. Behind it, pocket aces, kings, and queens have all made sets and are close to unbeatable against a random hand. AK has flopped top two pair, AQ holds aces and queens, and any ace at all, right down to A2, carries top pair on the highest board possible.

The disappointments are the hands that look like they belong at this party but were never actually invited. Pocket nines and eights are underpairs to everything here, reduced to modest favorites at best against a random hand. T9 suited seems tailor-made for a broadway board yet holds only a gutshot, and it loses more often than it wins.

The mistake to avoid is treating any pair as a hand worth a stack. Against a single random hand, top pair is doing great, but this is the texture where straights and sets collide with top two pair, and one pair of aces is the classic pay-off holding. Value your big hands honestly: on A K Q, the nut straight is the boss, and everything else is negotiating.

All 169 hands on A K Q rainbow

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

Pairs

HandFlopsEquity
AA set 93.9%
KK set 93.4%
QQ set 92.9%
JJ 68.1%
TT 67.9%
99 56.8%
88 55.2%
77 53.3%
66 51.5%
55 49.7%
44 47.8%
33 46.0%
22 44.3%

Suited

HandFlopsEquity
JTs straight 95.4%
AKs two pair 90.8%
AQs two pair 89.8%
KQs two pair 87.7%
AJs pair 87.3%
ATs pair 87.2%
A9s pair 82.7%
A8s pair 82.2%
A5s pair 82.0%
A7s pair 81.9%
A6s pair 81.8%
A4s pair 81.8%
A3s pair 81.7%
A2s pair 81.7%
KJs pair 81.6%
KTs pair 81.5%
K9s pair 76.1%
QJs pair 75.9%
K8s pair 75.8%
QTs pair 75.6%
K7s pair 75.5%
K6s pair 75.4%
K5s pair 75.4%
K4s pair 75.3%
K3s pair 75.3%
K2s pair 75.3%
Q9s pair 69.3%
Q8s pair 69.1%
Q4s pair 68.8%
Q7s pair 68.7%
Q6s pair 68.7%
Q5s pair 68.7%
Q3s pair 68.7%
Q2s pair 68.5%
J9s 52.4%
J8s 51.8%
J7s 51.5%
J6s 51.1%
J5s 50.6%
J4s 50.6%
J3s 50.4%
J2s 50.3%
T9s 47.2%
T8s 46.6%
T7s 46.1%
T6s 45.8%
T5s 45.5%
T4s 45.4%
T3s 45.2%
T2s 45.2%
98s 33.8%
97s 33.2%
96s 32.9%
95s 32.7%
94s 32.4%
93s 32.2%
92s 32.0%
87s 29.2%
86s 28.7%
85s 28.5%
84s 28.2%
83s 28.2%
82s 27.9%
76s 25.7%
75s 25.6%
74s 25.3%
73s 25.1%
72s 25.0%
54s 23.7%
65s 23.5%
53s 23.4%
64s 23.3%
52s 23.3%
63s 23.1%
43s 23.0%
62s 22.9%
42s 22.8%
32s 22.7%

Offsuit

HandFlopsEquity
JTo straight 95.3%
AKo two pair 90.6%
AQo two pair 89.7%
KQo two pair 87.2%
AJo pair 87.0%
ATo pair 86.6%
A9o pair 82.0%
A8o pair 81.6%
KJo pair 81.3%
A7o pair 81.3%
A6o pair 81.2%
A5o pair 81.2%
A2o pair 81.2%
A3o pair 81.1%
A4o pair 81.0%
KTo pair 80.9%
K9o pair 75.4%
QJo pair 75.2%
K8o pair 75.0%
QTo pair 74.9%
K7o pair 74.8%
K5o pair 74.6%
K6o pair 74.5%
K4o pair 74.5%
K2o pair 74.5%
K3o pair 74.4%
Q9o pair 68.4%
Q8o pair 68.1%
Q7o pair 67.8%
Q5o pair 67.7%
Q4o pair 67.7%
Q6o pair 67.6%
Q2o pair 67.6%
Q3o pair 67.5%
J9o 50.9%
J8o 50.3%
J7o 49.7%
J6o 49.3%
J5o 49.2%
J4o 49.1%
J3o 48.8%
J2o 48.6%
T9o 45.6%
T8o 44.8%
T7o 44.4%
T6o 44.1%
T5o 44.0%
T4o 43.5%
T3o 43.4%
T2o 43.2%
98o 31.6%
97o 31.1%
96o 30.7%
95o 30.3%
94o 30.2%
93o 30.0%
92o 29.8%
87o 26.7%
86o 26.3%
85o 26.1%
84o 25.8%
83o 25.6%
82o 25.5%
76o 23.3%
75o 22.9%
74o 22.6%
73o 22.5%
72o 22.4%
54o 21.0%
65o 20.8%
53o 20.7%
52o 20.7%
64o 20.6%
62o 20.5%
63o 20.4%
43o 20.3%
42o 20.1%
32o 20.0%

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