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What is every hand worth on an A J 7 monotone flop?

On an A J 7 monotone flop, the sets and big aces stay on top but with smaller edges than usual, because made flushes and one-card flush draws compress every equity on the board.

A J 7 monotone

Monotone boards

Equity vs one random hand

AA 84.3%
JJ 83.7%
77 83.2%
AJo 79.1%

Notable hands on A J 7 monotone

HandFlopsEquityWhy it matters
AA set 84.3% Top set, still the best class here, with the slimmest margin top set ever gets.
JJ set 83.7% Middle set, right behind the aces and just as flush-wary.
77 set 83.2% Bottom set, completing an unusually tight set cluster.
AJo two pair 79.1% Top two pair that can never hold a heart: both of its hearts are on the board.
A7o two pair 77.8% Two pair with the ace, quietly excellent on a scary-looking board.
AKo pair 78.8% Better than AK suited here. It sometimes brings the lone king of hearts, a draw to the nuts by itself.
AKs pair 73.0% The rare spot where suited is the downgrade: none of its combos can hold a single heart.
KK nothing yet 75.0% An underpair to the ace that is often carrying the king of hearts as a consolation.
KQo nothing yet 60.2% Two overcards and, some of the time, one useful heart. A murky, middling hand.
65s nothing yet 36.1% A small connector that whiffed: when it is not in hearts, it has close to nothing.

When all three flop cards share a suit, the usual pecking order gets rewritten before anyone acts. A J 7 monotone still rewards sets and big aces, but every equity on the board is squeezed by the flush hanging overhead, and the single most valuable card you can hold is often not a pair card at all but one big heart.

Flopped flushes exist here, yet they are rarer than they feel: a suited hand makes the flush only when its suit is hearts, and hands containing an ace or a jack cannot even be suited in hearts, because those two hearts are already on the board. So most of what looks scary is actually a draw or nothing, and the made hands still run the show more often than the texture suggests.

The strangest line in the table is AK, where the offsuit version outperforms the suited one, and it is not a typo. The suited combos have no hearts available at all, while the offsuit ones sometimes include the bare king of hearts, and that single card, the nut flush draw all by itself, is worth more than matching suits that cannot match the board. The same logic runs through the whole list: any hand that can bring one high heart punches above its label.

Sets still top the table, aces, jacks, and sevens, but their edges are visibly slimmer than on any rainbow board, because a random hand with two hearts already has them beaten and one heart is threatening to. The trap runs both directions: treating a set like a lock and stacking off into a made flush, or folding strong made hands to every scare card because the board looks frightening. Against a single random hand, top set and top two remain clear favorites. Play them for value, watch for the fourth heart, and count your own hearts before you count your outs.

All 169 hands on A J 7 monotone

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

Suit note: on this board a suited hand only has flush potential when its suit matches the board's. The figures average over all suit combinations of each class.

Pairs

HandFlopsEquity
AA set 84.3%
JJ set 83.7%
77 set 83.2%
KK 75.0%
QQ 73.1%
TT 66.1%
99 63.2%
88 61.4%
66 52.0%
55 50.4%
44 48.1%
33 46.3%
22 44.3%

Suited

HandFlopsEquity
AJs two pair 79.2%
A7s two pair 77.9%
J7s two pair 75.0%
AKs pair 73.0%
AQs pair 72.4%
ATs pair 71.8%
A9s pair 71.0%
A8s pair 70.5%
A5s pair 69.2%
A4s pair 69.2%
A6s pair 69.1%
A2s pair 69.1%
A3s pair 69.0%
KJs pair 64.9%
QJs pair 64.3%
JTs pair 63.7%
J9s pair 62.4%
J8s pair 62.0%
KQs 61.3%
J6s pair 60.5%
J5s pair 60.5%
J3s pair 60.4%
J4s pair 60.3%
J2s pair 60.3%
KTs 60.1%
QTs 56.2%
K7s pair 55.2%
K9s 54.7%
Q7s pair 54.6%
K8s 54.3%
T7s pair 54.0%
97s pair 53.0%
87s pair 52.6%
T9s 52.4%
K6s 52.2%
T8s 52.2%
K5s 51.9%
K4s 51.9%
K3s 51.8%
K2s 51.7%
Q9s 50.5%
76s pair 50.4%
75s pair 50.4%
73s pair 50.4%
74s pair 50.3%
72s pair 50.3%
Q8s 50.2%
98s 49.1%
Q6s 48.1%
Q5s 47.8%
Q4s 47.7%
Q3s 47.6%
Q2s 47.6%
T6s 44.3%
T5s 44.0%
T4s 43.9%
T3s 43.7%
T2s 43.5%
96s 41.5%
95s 41.4%
94s 40.5%
93s 40.3%
92s 40.3%
86s 39.7%
85s 39.5%
84s 38.7%
83s 37.7%
82s 37.7%
65s 36.1%
64s 35.3%
54s 35.2%
63s 34.3%
53s 34.3%
43s 33.8%
62s 33.4%
52s 33.4%
42s 32.8%
32s 32.4%

Offsuit

HandFlopsEquity
AJo two pair 79.1%
AKo pair 78.8%
AQo pair 77.8%
A7o two pair 77.8%
ATo pair 76.8%
A9o pair 75.6%
J7o two pair 75.1%
A8o pair 74.9%
A6o pair 73.1%
A5o pair 72.7%
A4o pair 72.2%
A3o pair 71.8%
KJo pair 71.6%
A2o pair 71.1%
QJo pair 70.8%
JTo pair 69.4%
J9o pair 67.8%
J8o pair 67.3%
J6o pair 65.3%
J5o pair 64.9%
J4o pair 64.2%
J3o pair 63.9%
J2o pair 63.4%
K7o pair 63.0%
Q7o pair 61.9%
T7o pair 60.7%
KQo 60.2%
97o pair 59.3%
KTo 58.9%
87o pair 58.7%
76o pair 56.1%
75o pair 55.7%
74o pair 55.2%
73o pair 54.6%
72o pair 54.1%
QTo 54.0%
K9o 52.2%
K8o 51.3%
T9o 49.4%
T8o 48.6%
K6o 48.4%
K5o 48.0%
Q9o 47.6%
K4o 47.5%
K3o 47.0%
Q8o 46.4%
K2o 46.4%
98o 45.2%
Q6o 43.6%
Q5o 43.2%
Q4o 42.5%
Q3o 42.2%
Q2o 41.7%
T6o 39.1%
T5o 38.7%
T4o 37.9%
T3o 37.6%
T2o 37.3%
96o 35.9%
95o 35.4%
94o 34.2%
86o 33.8%
93o 33.7%
85o 33.3%
92o 33.2%
84o 32.0%
83o 30.8%
82o 30.3%
65o 29.4%
64o 28.1%
54o 27.9%
63o 26.8%
53o 26.6%
43o 26.0%
62o 25.3%
52o 25.2%
42o 24.6%
32o 24.1%

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