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What is every hand worth on a 2 4 7 rainbow flop?

On a 2 4 7 rainbow flop, any pocket pair that connects with or sits above this board is a big favorite against a random hand, every flopped set is close to a lock, and even a weak pair like Q4 offsuit runs well ahead of a coin flip.

2 4 7 rainbow

Dry rainbow boards

Equity vs one random hand

77 95.3%
AA 86.4%
Q4o 64.9%
22 94.0%

Notable hands on 2 4 7 rainbow

HandFlopsEquityWhy it matters
77 set 95.3% Top set. The best possible hand on this flop, and there are almost no cards to fear.
AA overpair 86.4% The classic overpair. Nothing on this board threatens it yet.
Q4o pair 64.9% Middle pair with trash kickers, and still well ahead of a random hand. Dry boards are kind to any pair.
22 set 94.0% Bottom set. Tiny preflop, monster here.
A7s pair 77.4% Top pair top kicker on this texture, a comfortable favorite.
AKo nothing yet 53.2% Completely missed. Still ahead of a random hand on high cards alone, but it gained nothing from this flop.
65s nothing yet 45.6% An open-ended straight draw around the 4 and the 7, one of the few live draws this board offers.
53s nothing yet 43.2% A double gutter around the low cards. Sneaky equity for a hand this weak.
KQo nothing yet 45.5% Two overcards, no pair, no draw. This is what missing looks like.
32s pair 55.6% Bottom pair with the worst kicker. Even this beats a fair chunk of random hands here.

The 2 4 7 rainbow flop is about as dry as poker gets. There is no flush draw, no open-ended straight draw using two connected big cards, and no way for a random hand to have flopped a straight. That scarcity of draws is exactly why made hands hold their value so well here: when you are ahead on this flop, very few turn and river cards change that.

Overpairs are the big winners. Pocket aces, kings, queens, and even eights are miles in front of a random hand, because the board offers so little help to the hands behind them. The three flopped sets are near locks, and the only real danger they face is the runner-runner straight or backdoor flush that a random hand rarely gets there with.

The trap on this texture is the middling unpaired stuff. Two broadway cards like KQ or AJ have completely missed, and whatever value they keep comes purely from unimproved high-card strength. KQ actually falls behind a random hand here, and AJ scrapes barely ahead, a long fall from where both stood before the flop.

The common mistake here is over-folding small pairs and under-folding big cards. A hand as ugly as Q4 offsuit has flopped middle pair on this board and beats a random hand comfortably, while good-looking hands like AK gain almost nothing from this flop. On dry low boards, pairs are king and paint is a promise.

All 169 hands on 2 4 7 rainbow

Equity of every starting hand class against one random opponent hand on 2 4 7 rainbow, averaged over the class's possible suit combinations. Sorted best to worst within each group.

Pairs

HandFlopsEquity
77 set 95.3%
44 set 94.7%
22 set 94.0%
AA overpair 86.4%
KK overpair 83.6%
QQ overpair 81.6%
JJ overpair 79.9%
TT overpair 77.9%
99 overpair 76.1%
88 overpair 75.2%
66 66.8%
55 65.8%
33 55.0%

Suited

HandFlopsEquity
74s two pair 88.4%
72s two pair 87.2%
42s two pair 85.1%
A7s pair 77.4%
K7s pair 76.2%
Q7s pair 75.6%
J7s pair 74.9%
T7s pair 74.6%
87s pair 74.2%
97s pair 73.9%
75s pair 73.1%
76s pair 72.9%
73s pair 71.8%
A4s pair 68.0%
K4s pair 66.8%
Q4s pair 66.1%
J4s pair 65.5%
54s pair 65.0%
T4s pair 64.9%
84s pair 64.7%
64s pair 64.6%
94s pair 64.3%
43s pair 62.6%
A2s pair 60.1%
K2s pair 58.4%
Q2s pair 57.7%
A5s 57.3%
J2s pair 57.0%
52s pair 56.7%
82s pair 56.5%
T2s pair 56.4%
62s pair 56.2%
92s pair 55.8%
32s pair 55.6%
AKs 55.1%
A3s 54.7%
AQs 54.3%
AJs 53.2%
ATs 52.3%
A8s 51.7%
A9s 51.4%
A6s 49.8%
KQs 47.7%
KJs 46.6%
KTs 45.8%
65s 45.6%
K8s 45.1%
K9s 44.9%
K5s 44.4%
K6s 44.1%
53s 43.2%
QJs 41.3%
K3s 41.2%
QTs 40.4%
Q8s 39.9%
Q9s 39.7%
Q6s 38.9%
Q5s 38.9%
86s 37.7%
JTs 37.2%
85s 36.9%
J8s 36.5%
J9s 36.4%
Q3s 36.0%
J5s 34.5%
J6s 34.4%
T8s 34.0%
T9s 33.8%
T6s 31.9%
J3s 31.6%
63s 31.5%
98s 31.0%
T5s 30.8%
96s 28.9%
T3s 27.8%
95s 27.7%
93s 24.9%
83s 22.7%

Offsuit

HandFlopsEquity
74o two pair 88.2%
72o two pair 86.9%
42o two pair 84.8%
A7o pair 76.5%
K7o pair 75.4%
Q7o pair 74.7%
J7o pair 74.1%
T7o pair 73.6%
87o pair 73.4%
97o pair 73.1%
75o pair 72.4%
76o pair 72.1%
73o pair 70.9%
A4o pair 66.6%
K4o pair 65.3%
Q4o pair 64.9%
J4o pair 64.3%
54o pair 63.8%
T4o pair 63.7%
84o pair 63.7%
64o pair 63.3%
94o pair 63.1%
43o pair 61.6%
A2o pair 58.6%
K2o pair 56.8%
Q2o pair 56.3%
A5o 56.0%
J2o pair 55.6%
52o pair 55.4%
T2o pair 54.9%
82o pair 54.9%
62o pair 54.8%
92o pair 54.3%
32o pair 54.2%
AKo 53.2%
A3o 53.0%
AQo 52.4%
AJo 51.6%
ATo 50.5%
A8o 49.9%
A9o 49.6%
A6o 47.9%
KQo 45.5%
KJo 44.7%
KTo 43.7%
65o 43.7%
K8o 43.1%
K9o 42.7%
K5o 42.2%
K6o 41.9%
53o 41.4%
QJo 39.1%
K3o 38.9%
QTo 38.1%
Q8o 37.5%
Q9o 37.2%
Q6o 36.8%
Q5o 36.6%
86o 35.8%
JTo 34.9%
85o 34.7%
J8o 34.2%
J9o 33.8%
Q3o 33.5%
J5o 32.2%
J6o 32.0%
T8o 31.6%
T9o 31.4%
T6o 29.4%
J3o 29.2%
63o 29.0%
98o 28.4%
T5o 28.4%
96o 26.2%
95o 25.3%
T3o 25.1%
93o 22.1%
83o 19.9%

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