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What is every hand worth on a K K 2 paired flop?

On a K K 2 paired flop, any king gives trips and dominates a random hand, the lone remaining combo of pocket kings has quads, and every pocket pair plays as a strong two pair.

K K 2

Paired boards

Equity vs one random hand

KK 100.0%
K2o 99.0%
AKo 97.3%
K7o 95.7%

Notable hands on K K 2

HandFlopsEquityWhy it matters
KK quads 100.0% Four kings. One combo of this hand still exists, and it cannot lose.
K2o full house 99.0% A full house on the flop from the most disrespected king there is.
AKo trips 97.3% Trips with the best kicker. Almost nothing a random hand holds survives it.
K7o trips 95.7% Any king means trips here. The kicker is a detail; the trips are the story.
22 full house 95.1% Deuces full of kings. Bottom of the deck preflop, a full house now.
AA two pair 89.2% Aces and kings, the best hand on the board without a king or a deuce in it.
QQ two pair 86.6% Two pair the moment the flop lands, comfortably in charge of a random hand.
72o two pair 59.8% One deuce makes two pair, and the worst hand in poker wins more often than it loses.
A2s two pair 68.2% Deuces with an ace on top. It looks silly and plays perfectly fine.
JTs nothing yet 49.7% A pretty hand with no pair on a paired board: a coin flip in a nice suit.

A paired king-high flop splits the deck into three castes. A tiny group has trips or better and is nearly unbeatable. Everyone with a pocket pair holds two pair automatically, kings plus their own, and does well. And the biggest group, unpaired hands that missed, is left playing high-card poker against the board. K K 2 is the cleanest example of that structure in this collection.

At the very top, pocket kings make four of a kind, though with two kings already on the board only a single combo of that hand still exists. K2 flops a full house, and every other king, from AK down to K3, holds trips with the kicker deciding how happily. Pocket deuces deserve a special nod: they flopped the underfull, deuces full of kings, a made hand that trails only quad kings and the kings full of K2; even bare trips with AK sits behind it for now.

Beneath the trips, pocket pairs enjoy a quiet promotion. Aces play as aces and kings, a two-pair hand that crushes a random opponent. Even middling pairs like nines carry the board pair with them and perform far better than they look. Very few hands actually contain a king, which is why the pot so often goes to whoever holds any pair at all. And 72 offsuit collects its strange due once more: one humble deuce makes two pair here.

Beware the unpaired broadway hand. JT suited looks like a hand, and on K K 2 it is a coin flip against two random cards. The deeper trap is strategic: because so few hands hold a king, paired boards invite bluffing wars, and players talk themselves into calling big bets with ace high or folding real pairs to air. Against a single random hand, keep it simple: any pair is good, any king is gold, and quads should start writing a speech.

All 169 hands on K K 2

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

Pairs

HandFlopsEquity
KK quads 100.0%
22 full house 95.1%
AA two pair 89.2%
QQ two pair 86.6%
JJ two pair 84.2%
TT two pair 81.6%
99 two pair 78.7%
88 two pair 76.1%
77 two pair 73.1%
66 two pair 70.4%
55 two pair 67.7%
44 two pair 65.0%
33 two pair 62.3%

Suited

HandFlopsEquity
K2s full house 99.0%
AKs trips 97.4%
KQs trips 97.1%
KJs trips 96.9%
KTs trips 96.6%
K9s trips 96.3%
K8s trips 96.0%
K7s trips 95.8%
K6s trips 95.7%
K5s trips 95.6%
K4s trips 95.6%
K3s trips 95.6%
A2s two pair 68.2%
Q2s two pair 66.5%
J2s two pair 64.9%
AQs 64.4%
T2s two pair 63.6%
AJs 63.4%
ATs 62.7%
92s two pair 62.6%
82s two pair 61.6%
A9s 61.1%
72s two pair 60.8%
A8s 60.3%
62s two pair 60.3%
52s two pair 59.8%
42s two pair 59.5%
A7s 59.4%
32s two pair 59.4%
A5s 58.7%
A6s 58.5%
A4s 58.4%
A3s 58.2%
QJs 57.1%
QTs 56.3%
Q9s 54.6%
Q8s 52.8%
Q7s 52.1%
Q6s 51.4%
Q5s 50.7%
Q4s 50.3%
Q3s 50.0%
JTs 49.7%
J9s 48.2%
J8s 46.4%
J7s 45.7%
J6s 45.0%
J5s 44.4%
J4s 43.9%
J3s 43.9%
T9s 42.6%
T8s 41.1%
T7s 40.0%
T6s 39.4%
T5s 38.7%
T4s 38.3%
T3s 38.1%
98s 36.3%
97s 35.5%
96s 34.8%
95s 34.1%
94s 33.9%
93s 33.5%
87s 31.6%
86s 31.1%
85s 30.5%
84s 30.1%
83s 29.7%
76s 27.9%
75s 27.2%
74s 26.9%
73s 26.7%
65s 26.2%
64s 25.8%
63s 25.6%
54s 25.5%
53s 25.1%
43s 24.0%

Offsuit

HandFlopsEquity
K2o full house 99.0%
AKo trips 97.3%
KQo trips 97.1%
KJo trips 96.8%
KTo trips 96.6%
K9o trips 96.2%
K8o trips 95.9%
K7o trips 95.7%
K6o trips 95.6%
K5o trips 95.5%
K4o trips 95.5%
K3o trips 95.5%
A2o two pair 67.2%
Q2o two pair 65.4%
J2o two pair 63.8%
AQo 63.3%
T2o two pair 62.7%
AJo 62.2%
92o two pair 61.5%
ATo 61.3%
82o two pair 60.7%
72o two pair 59.8%
A9o 59.7%
62o two pair 59.3%
52o two pair 58.9%
A8o 58.7%
42o two pair 58.4%
32o two pair 58.2%
A7o 57.8%
A5o 57.5%
A6o 57.3%
A4o 56.8%
A3o 56.8%
QJo 55.6%
QTo 54.5%
Q9o 53.0%
Q8o 51.2%
Q7o 50.2%
Q6o 49.6%
Q5o 48.9%
Q4o 48.5%
Q3o 48.4%
JTo 48.0%
J9o 46.3%
J8o 44.7%
J7o 43.7%
J6o 42.9%
J5o 42.4%
J4o 41.8%
J3o 41.6%
T9o 40.7%
T8o 38.8%
T7o 37.8%
T6o 37.2%
T5o 36.6%
T4o 36.1%
T3o 36.0%
98o 34.1%
97o 33.1%
96o 32.5%
95o 32.0%
94o 31.5%
93o 31.2%
87o 29.4%
86o 28.5%
85o 28.0%
84o 27.5%
83o 27.4%
76o 25.3%
75o 24.7%
74o 24.2%
73o 24.0%
65o 23.8%
64o 23.3%
63o 23.0%
54o 22.8%
53o 22.6%
43o 21.5%

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