Shoot for
Definition 1 of 2
Pro Tip 1/3Setting Goals
Used when one has ambitious objectives or big dreams to achieve. 
She decided to shoot for the position of CEO within five years.
Pro Tip 2/3Optimistic Expression
Reflects a positive and hopeful attitude towards reaching an objective. 
Even though it's competitive, I'm going to shoot for a scholarship.
Pro Tip 3/3Ambiguous Outcome
Suggests trying for a goal where success is not guaranteed, but still worth the effort. 
I know it's a long shot, but I'll shoot for a win in the contest.