give it one's best shot

give it (one's) best shot

To put forth one's best effort in an attempt to do or accomplish something. Henry gave it his best shot, but the board still denied his proposal.
See also: give, shot

give it one's best shot

Make one's hardest or most enthusiastic attempt, as in I don't know if I can do it, but I'll give it my best shot. This expression employs shot in the sense of "attempt," a usage dating from the mid-1700s.
See also: give, shot