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What is every hand worth on a K Q J rainbow flop?

On a K Q J rainbow flop, AT flops the nut straight and leads the table, T9 holds the second straight, and the sets, overpairs, and big top-pair hands all crush a random hand.

K Q J rainbow

Broadway boards

Equity vs one random hand

ATs 95.5%
KK 89.6%
QQ 89.1%
T9o 91.4%

Notable hands on K Q J rainbow

HandFlopsEquityWhy it matters
ATs straight 95.5% The nut straight, ace through ten. Top of the table and it is not close.
KK set 89.6% Top set on a board where even top set has company above it.
QQ set 89.1% Middle set, wedged into one of the most crowded flops in poker.
T9o straight 91.4% The king-high straight, even unsuited. Sneaky-huge, and still second-best to AT.
AA overpair 85.4% A real overpair with a gutshot to the nuts stapled on.
KQs two pair 85.6% Top two pair, the hand that pays off straights but crushes a random hand.
JJ set 88.6% Bottom set. On most boards that is a jackpot; here it merely joins the queue.
88 nothing yet 51.6% A snug little pair reduced to a coin flip under three broadway cards.
98s nothing yet 38.9% Looks made for this board, holds a gutshot and not much else.
65s nothing yet 22.6% Nothing, drawing at nothing. The low deck need not apply.

K Q J rainbow is the most connected board you can build from pure broadway cards, and it plays a full gear more violently than its ace-high cousin. Two different straights are already possible, every big pocket pair has either flopped a set or picked up a draw, and the only quiet corner of the deck is the low junk, which has never been deader.

AT owns the flop: it makes the nut straight, ace through ten, and sits clear at the top of the table. T9 has the other straight, king-high, and even offsuit it beats nearly everything. The three sets, kings, queens, and jacks, arrive stacked on top of each other, while pocket aces keep genuine overpair status and add a gutshot to the same nut straight AT already holds. KQ flops top two and rounds out a very crowded penthouse.

The board is far less generous one floor down. Pocket tens hold an open-ended draw plus unimproved showdown value, which keeps them respectable, but nines and especially eights have sunk toward even money against a random hand. 98 suited looks like it should love this flop and gets only a gutshot for its trouble.

The trap here is the second-best straight and the second-best everything else. T9 is a mighty favorite against a random hand, but it is precisely the hand that loses a big pot to AT when the money piles in. Same story for one-pair hands like KQ running into a set. Against random, bet everything good; against real resistance on K Q J, remember how deep the top of this board runs.

All 169 hands on K Q J rainbow

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

Pairs

HandFlopsEquity
KK set 89.6%
QQ set 89.1%
JJ set 88.6%
AA overpair 85.4%
TT 70.9%
99 60.5%
88 51.6%
77 49.7%
66 48.1%
55 46.4%
44 44.5%
33 42.7%
22 41.0%

Suited

HandFlopsEquity
ATs straight 95.5%
T9s straight 91.5%
KQs two pair 85.6%
AKs pair 85.5%
KTs pair 84.8%
KJs two pair 84.6%
QJs two pair 82.5%
QTs pair 80.4%
AQs pair 80.2%
K9s pair 79.2%
K8s pair 75.7%
K7s pair 75.6%
JTs pair 75.6%
K6s pair 75.4%
K5s pair 75.4%
K4s pair 75.3%
K3s pair 75.3%
K2s pair 75.2%
AJs pair 74.8%
Q9s pair 73.8%
Q7s pair 69.7%
Q8s pair 69.6%
Q6s pair 69.3%
Q5s pair 69.3%
Q3s pair 69.3%
Q2s pair 69.2%
Q4s pair 69.1%
J9s pair 68.4%
J8s pair 63.5%
J7s pair 63.2%
J6s pair 63.0%
J5s pair 63.0%
J4s pair 62.9%
J3s pair 62.8%
J2s pair 62.8%
A9s 55.5%
A8s 54.3%
A7s 54.0%
A6s 53.5%
A4s 53.3%
A5s 53.2%
T8s 52.9%
A2s 52.8%
A3s 52.7%
T7s 52.5%
T6s 52.1%
T5s 51.9%
T4s 51.8%
T3s 51.6%
T2s 51.5%
98s 38.9%
97s 38.5%
96s 38.1%
95s 37.8%
94s 37.8%
93s 37.5%
92s 37.4%
87s 28.2%
86s 27.8%
85s 27.5%
84s 27.4%
83s 27.1%
82s 26.9%
76s 24.8%
75s 24.5%
74s 24.3%
73s 24.2%
72s 23.9%
65s 22.6%
64s 22.4%
63s 22.3%
62s 22.0%
54s 21.2%
53s 21.1%
52s 21.0%
43s 20.6%
42s 20.4%
32s 20.3%

Offsuit

HandFlopsEquity
ATo straight 95.2%
T9o straight 91.4%
KQo two pair 85.3%
AKo pair 85.0%
KTo pair 84.5%
KJo two pair 84.3%
QJo two pair 82.1%
QTo pair 79.7%
AQo pair 79.6%
K9o pair 78.8%
JTo pair 75.0%
K8o pair 74.9%
K7o pair 74.8%
K6o pair 74.6%
K4o pair 74.5%
K2o pair 74.5%
K5o pair 74.4%
K3o pair 74.4%
AJo pair 73.9%
Q9o pair 73.2%
Q8o pair 68.7%
Q7o pair 68.6%
Q6o pair 68.4%
Q3o pair 68.4%
Q2o pair 68.2%
Q5o pair 68.1%
Q4o pair 68.1%
J9o pair 67.1%
J8o pair 62.2%
J7o pair 62.0%
J6o pair 61.8%
J2o pair 61.8%
J4o pair 61.7%
J5o pair 61.6%
J3o pair 61.6%
A9o 53.7%
A8o 52.8%
A7o 52.1%
A6o 51.8%
T8o 51.6%
A5o 51.5%
A4o 51.4%
T7o 51.2%
A3o 51.1%
A2o 51.0%
T6o 50.7%
T5o 50.5%
T4o 50.4%
T3o 50.2%
T2o 50.0%
98o 37.0%
97o 36.4%
96o 36.1%
95o 35.9%
94o 35.6%
93o 35.4%
92o 35.2%
87o 25.8%
86o 25.4%
85o 25.1%
84o 24.9%
83o 24.9%
82o 24.6%
76o 22.2%
75o 22.0%
74o 21.6%
73o 21.5%
72o 21.4%
65o 19.9%
64o 19.6%
63o 19.5%
62o 19.2%
54o 18.6%
53o 18.4%
52o 18.1%
43o 17.9%
42o 17.7%
32o 17.5%

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