long shot
US /ˈlɔŋ ˌʃɑt/
UK /ˈlɔŋ ˌʃɑt/

1.
an attempt or guess that has only a small chance of success but is worth trying
:
•
It's a long shot, but we might as well try.
•
Winning the lottery is a complete long shot.
an attempt or guess that has only a small chance of success but is worth trying