RichThesaurus
give it one's best shot
vs
give something a go
give it one's best shot
verb
To make one's best effort or attempt; to try as hard as possible.
give something a go
verb
To try or attempt.
How often have the words
give it one's best shot
and
give something a go
occurred in a corpus of books?
(source:
Google Ngram Viewer
)