[be] worth a (try|shot)

to be deserving of an attempt or effort due to the potential benefits or positive outcomes

I'm not sure if this new study technique will improve your grades, but it's worth a try.
The recipe may be a bit unusual, but it's worth a shot; you might discover a new favorite dish.
He wasn't certain he could fix the old car, but he decided it was worth a try before calling a mechanic.
Some people say this herbal remedy can help with sleep, so it's worth a try if you have trouble sleeping.
Starting a small business can be challenging, but it's worth a shot if you're passionate about your idea.