Run one's eyes over report to what's needed in the betting industry (4)
I believe the answer is:
luck
'run' is the definition.
Although both the answer and definition are singular nouns, I don't see how they can define each other.
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for luck that I've seen before include "Good or bad fortune" , "'Fortune, fate (4)'" , "See 1" , "Chance, fate, fortune" , "''The devil''s children has the devil's ....'" .)