one’s best shot

(one's) best shot

The utmost of one's effort, ability, or determination spent attempting to do something. I gave writing my best shot, but I just don't think I can make a career out of it. That was our best shot—let's hope it was enough to fix things.
See also: shot
Farlex Dictionary of Idioms.

one’s best shot

n. one’s best attempt (at something). That was his best shot, but it wasn’t good enough.
See also: shot
McGraw-Hill's Dictionary of American Slang and Colloquial Expressions
See also:
  • (one's) best shot
  • one's best shot
  • give (something) (one's) best shot
  • give best shot
  • give it your best shot
  • give something your best shot
  • get one’s teeth into something
  • get teeth into
  • get your teeth into
  • get/sink your teeth into something