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

On a K 7 2 rainbow flop, any king is a big favorite over a random hand, the flopped sets are near locks, and top pair top kicker with AK performs at least as well as pocket aces.

K 7 2 rainbow

Dry rainbow boards

Equity vs one random hand

KK 98.3%
AKo 89.8%
AA 88.6%
77 97.5%

Notable hands on K 7 2 rainbow

HandFlopsEquityWhy it matters
KK set 98.3% Top set on a board with no draws. It does not get safer than this.
AKo pair 89.8% Top pair top kicker, and it slightly outperforms pocket aces by dominating every other king.
AA overpair 88.6% Still a monster, but on this board it is the second-best made-hand class, not the first.
77 set 97.5% Middle set, hiding in plain sight under the king.
K7s two pair 94.6% Top two pair. The hand that stacks the one-pair kings.
K2o two pair 92.9% Trash preflop, two pair here, and a big favorite over a random hand.
72o two pair 88.7% The worst hand in poker just flopped two pair. Enjoy the novelty.
QQ nothing yet 78.9% An overpair to two cards and an underpair to the one that matters. Fine, not thrilling.
AQo nothing yet 54.5% Looks premium, missed completely, and sits barely above a coin flip.
98s nothing yet 34.1% A pretty connector with no pair and no real draw. This board gives it nothing.

K 7 2 rainbow is the textbook continuation-bet board, the one every cash-game player learns to fire at first. The king sits alone at the top, the 7 and 2 connect with almost nothing, and with three different suits there is not a single flush draw in the deck. Hands are what they are here, and they tend to stay that way through the turn and river.

The board rewards exactly what you would expect: kings and sets. Pocket kings have flopped the top set and are about as close to a lock as this tool ever shows. What surprises people is AK. Top pair top kicker actually performs a touch better than pocket aces here, because AK dominates every other king a random hand can hold while aces just sit there hoping no two pair arrives.

The quiet star of this flop is any king at all. K2 offsuit, a hand you should never have seen the flop with, has flopped two pair, kings and deuces, and crushes a random hand. And 72 offsuit, the worst starting hand in poker, has flopped two pair and beats nearly everything. That is not a reason to play it. It is a reason to respect how much a flop can rearrange the pecking order.

The common mistake is putting queens and jacks in the same mental bucket as aces. Under a king, those overpairs are really second-best pairs waiting to find out, and they perform a clear step below AA and AK here. Meanwhile the pretty unpaired stuff like AQ has missed entirely and hovers barely above a coin flip. On king-high dry boards, ask one question first: do I have a king or better?

All 169 hands on K 7 2 rainbow

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

Pairs

HandFlopsEquity
KK set 98.3%
77 set 97.5%
22 set 96.7%
AA overpair 88.6%
QQ 78.9%
JJ 77.0%
TT 75.1%
99 73.2%
88 71.3%
66 61.3%
55 59.1%
44 57.2%
33 55.2%

Suited

HandFlopsEquity
K7s two pair 94.6%
K2s two pair 92.9%
AKs pair 90.1%
72s two pair 89.0%
KQs pair 88.0%
KJs pair 87.4%
KTs pair 86.8%
K9s pair 86.3%
K8s pair 85.8%
K6s pair 84.9%
K5s pair 84.7%
K4s pair 84.4%
K3s pair 84.4%
A7s pair 74.9%
Q7s pair 73.6%
J7s pair 73.2%
T7s pair 72.6%
97s pair 72.1%
87s pair 71.6%
76s pair 69.8%
75s pair 69.5%
74s pair 69.3%
73s pair 69.3%
A2s pair 61.6%
Q2s pair 60.1%
J2s pair 59.5%
T2s pair 59.0%
92s pair 58.2%
82s pair 57.8%
52s pair 57.0%
62s pair 56.9%
42s pair 56.7%
32s pair 56.6%
AQs 56.2%
AJs 55.3%
ATs 54.6%
A9s 52.6%
A8s 51.8%
A5s 49.8%
A6s 49.4%
A4s 49.2%
A3s 49.2%
QJs 48.8%
QTs 47.9%
Q9s 46.2%
Q8s 44.3%
JTs 43.6%
J9s 42.0%
Q6s 41.9%
Q5s 41.5%
Q4s 40.9%
Q3s 40.7%
J8s 40.1%
T9s 38.5%
T8s 36.7%
J6s 36.5%
J5s 36.0%
J4s 35.6%
J3s 35.4%
98s 34.1%
T6s 33.2%
T5s 31.3%
T4s 30.9%
T3s 30.7%
96s 30.5%
95s 28.9%
86s 28.9%
94s 27.1%
93s 27.0%
85s 27.0%
84s 25.3%
65s 24.6%
83s 23.9%
64s 22.9%
54s 22.7%
63s 21.4%
53s 21.2%
43s 20.2%

Offsuit

HandFlopsEquity
K7o two pair 94.4%
K2o two pair 92.9%
AKo pair 89.8%
72o two pair 88.7%
KQo pair 87.4%
KJo pair 86.9%
KTo pair 86.4%
K9o pair 85.9%
K8o pair 85.2%
K6o pair 84.3%
K5o pair 84.1%
K3o pair 83.9%
K4o pair 83.8%
A7o pair 74.0%
Q7o pair 72.6%
J7o pair 72.2%
T7o pair 71.6%
97o pair 71.0%
87o pair 70.6%
76o pair 68.7%
75o pair 68.4%
74o pair 68.3%
73o pair 68.2%
A2o pair 60.1%
Q2o pair 58.5%
J2o pair 58.1%
T2o pair 57.5%
92o pair 57.0%
82o pair 56.2%
62o pair 55.5%
32o pair 55.4%
52o pair 55.3%
42o pair 55.3%
AQo 54.5%
AJo 53.6%
ATo 52.6%
A9o 50.9%
A8o 49.7%
A5o 47.9%
A4o 47.5%
A6o 47.4%
A3o 47.2%
QJo 46.9%
QTo 46.0%
Q9o 44.4%
Q8o 42.1%
JTo 41.6%
Q6o 39.8%
J9o 39.7%
Q5o 39.2%
Q4o 38.8%
Q3o 38.6%
J8o 37.8%
T9o 36.2%
T8o 34.4%
J6o 34.3%
J5o 33.7%
J4o 33.3%
J3o 33.0%
98o 31.7%
T6o 30.9%
T5o 28.9%
T4o 28.5%
T3o 28.3%
96o 28.0%
86o 26.3%
95o 26.2%
94o 24.5%
85o 24.4%
93o 24.3%
84o 22.7%
65o 22.0%
83o 21.1%
64o 20.3%
54o 19.9%
63o 18.6%
53o 18.4%
43o 17.1%

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