I have an another solution.

create table colors (fkey int, color varchar(10), cnt int)

INSERT INTO colors VALUES (1,        'Red',             100)
INSERT INTO colors VALUES (1,        'White',           101)
INSERT INTO colors VALUES (1,        'Blue',            102)
INSERT INTO colors VALUES (2,        'Black',           1001)
INSERT INTO colors VALUES (2,        'Blue' ,           1002)
INSERT INTO colors VALUES (3,        'Purple',          101)
INSERT INTO colors VALUES (3,        'Yellow' ,         102)
INSERT INTO colors VALUES (3,        'Orange'  ,        103)
INSERT INTO colors VALUES (3,       'Blue'      ,      104)

select 
	fkey, color, cnt 
from 
	colors
where
	cnt = (SELECT MAX(cnt) FROM colors c WHERE c.fkey = colors.fkey)

Ignore the messy formatting. I was in a hurry.

-Mike