give (something) (one's) best shot
give (something) (one's) best shot
To put one's utmost energy, effort, or determination into doing something. I gave writing my best shot, but I just don't think I can make a career out of it. Don't worry about being new, just give it your best shot.
give something one's best shot
and give one's bestFig. to give a task one's best effort. I gave the project my best shot. Sure, try it. Give it your best!