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What is every hand worth on a 6 5 4 rainbow flop?

On a 6 5 4 rainbow flop, 87 flops the nut straight, the sets and low connectors dominate a random hand, and pretty hands like JT and T9 collapse into clear underdogs.

6 5 4 rainbow

Low and wheel boards

Equity vs one random hand

87s 95.1%
66 84.9%
44 83.8%
73o 91.3%

Notable hands on 6 5 4 rainbow

HandFlopsEquityWhy it matters
87s straight 95.1% The nut straight, eight high, wearing the crown alone.
66 set 84.9% Top set, though the straights above keep it honest.
44 set 83.8% Bottom set on the board it was born for.
73o straight 91.3% The seven-high straight from two cards most players never look at twice.
32s straight 85.4% The bottom straight. The smallest connector in the deck finally gets paid.
77 overpair 75.6% Overpair plus an open-ended draw, and it quietly outruns pocket aces.
AA overpair 72.2% Still a favorite over a random hand, but no better than a modest one.
65s two pair 76.4% Top two pair, doing heavy lifting for such a small investment.
AKo nothing yet 44.1% An underdog to two random cards. The board did not read the preflop rankings.
T9s nothing yet 27.9% Near the very bottom of the table. Pretty, connected, and useless here.

6 5 4 rainbow is what happens when the flop skips the glamour ranks entirely. Three straights are already possible, all of them built from cards most players fold, and with no flush draw in sight the battle is purely about who bothered to play the bottom of the deck. It is the mirror image of a broadway flop, and it humiliates exactly the hands a broadway flop rewards.

87 flops the nut straight, eight down to four, and sits alone at the top. 73, of all hands, makes the seven-high straight, and 32 completes the bottom one. Sixes, fives, and fours flopped sets, and pocket sevens are the sleeper: an overpair with an open-ended draw, they actually outperform pocket aces here. Top two pair with 65 rounds out the group doing serious work.

The bottom of the table reads like a preflop top-ten list. JT and T9, suited or not, are among the very worst hands on this flop, clear underdogs to two random cards, and AK is an underdog too. None of them have a pair, a live draw, or a realistic way to catch up, and high-card pedigree buys almost nothing on a board this low.

The trap is double-sided. With the big hands, it is refusing to give up: continuation betting AK into 6 5 4 and then talking yourself into three streets of it. With the little hands, it is under-raising. A flopped straight with 87 or a set of fours wants a big pot immediately, because nearly every turn card puts a scare into somebody. Low boards move money toward whoever admits fastest what the flop actually changed.

All 169 hands on 6 5 4 rainbow

Equity of every starting hand class against one random opponent hand on 6 5 4 rainbow, averaged over the class's possible suit combinations. Sorted best to worst within each group.

Pairs

HandFlopsEquity
66 set 84.9%
55 set 84.4%
44 set 83.8%
77 overpair 75.6%
AA overpair 72.2%
KK overpair 70.4%
88 overpair 70.1%
QQ overpair 68.6%
JJ overpair 66.7%
TT overpair 64.8%
99 overpair 63.9%
33 54.4%
22 45.1%

Suited

HandFlopsEquity
87s straight 95.1%
73s straight 91.3%
32s straight 85.4%
65s two pair 76.4%
64s two pair 75.4%
54s two pair 74.1%
76s pair 73.0%
75s pair 68.9%
86s pair 68.2%
63s pair 68.1%
74s pair 64.2%
53s pair 63.9%
A6s pair 63.8%
K6s pair 63.3%
85s pair 63.3%
Q6s pair 62.7%
62s pair 62.7%
J6s pair 62.0%
96s pair 61.9%
T6s pair 61.4%
43s pair 59.3%
A7s 59.1%
A5s pair 58.4%
84s pair 58.1%
52s pair 57.8%
K5s pair 57.5%
Q5s pair 57.0%
J5s pair 56.5%
95s pair 56.3%
T5s pair 55.8%
K7s 55.0%
A3s 53.2%
A4s pair 52.7%
42s pair 52.5%
K4s pair 52.1%
A8s 51.7%
Q7s 51.7%
Q4s pair 51.5%
J4s pair 50.8%
T4s pair 50.3%
94s pair 50.2%
K3s 49.1%
J7s 48.6%
K8s 47.1%
AKs 46.4%
T7s 46.4%
Q3s 45.8%
97s 45.6%
AQs 45.3%
A2s 44.9%
AJs 44.5%
ATs 43.5%
A9s 43.5%
Q8s 43.1%
J3s 42.7%
K2s 40.5%
KQs 40.4%
T3s 40.3%
J8s 39.9%
KJs 39.5%
93s 39.0%
83s 39.0%
KTs 38.6%
K9s 38.5%
72s 38.0%
82s 37.9%
T8s 37.2%
Q2s 36.5%
98s 36.3%
QJs 35.3%
QTs 34.3%
Q9s 34.3%
J2s 33.3%
JTs 30.8%
J9s 30.6%
T2s 30.4%
92s 28.9%
T9s 27.9%

Offsuit

HandFlopsEquity
87o straight 95.0%
73o straight 91.3%
32o straight 85.1%
65o two pair 75.8%
64o two pair 74.8%
54o two pair 73.5%
76o pair 72.1%
75o pair 67.7%
63o pair 67.3%
86o pair 67.2%
74o pair 63.2%
53o pair 62.8%
A6o pair 62.4%
85o pair 62.3%
K6o pair 61.8%
62o pair 61.7%
Q6o pair 61.3%
J6o pair 60.7%
96o pair 60.4%
T6o pair 60.2%
43o pair 58.4%
A7o 57.7%
A5o pair 57.0%
84o pair 56.7%
52o pair 56.4%
K5o pair 56.2%
Q5o pair 55.6%
J5o pair 55.0%
T5o pair 54.6%
95o pair 54.6%
K7o 53.6%
A3o 51.8%
42o pair 51.1%
A4o pair 51.0%
K4o pair 50.3%
Q7o 50.1%
A8o 49.9%
Q4o pair 49.7%
J4o pair 49.1%
94o pair 48.8%
T4o pair 48.4%
K3o 47.8%
J7o 47.1%
K8o 45.2%
T7o 44.5%
AKo 44.1%
Q3o 44.0%
97o 43.8%
AQo 43.5%
A2o 43.2%
AJo 42.4%
ATo 41.4%
A9o 41.3%
Q8o 41.3%
J3o 41.0%
T3o 38.5%
K2o 38.5%
KQo 38.0%
J8o 37.8%
KJo 37.3%
83o 37.1%
93o 36.8%
KTo 36.3%
K9o 36.1%
72o 36.0%
82o 35.9%
T8o 34.9%
Q2o 34.3%
98o 34.1%
QJo 32.9%
QTo 31.9%
Q9o 31.7%
J2o 30.8%
JTo 28.2%
J9o 28.0%
T2o 28.0%
92o 26.4%
T9o 25.2%

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