not have a ghost of a chance
not have a/the ghost of a chance
To not have even the slightest possible chance of something. After I heard that they required 10 years of experience, I knew that I didn't have a ghost of a chance of getting hired. He knows he doesn't have the ghost of a chance with her, but he's still going to ask her out.
not have a ˈghost of a chance (of doing something)(informal) have no chance at all (of doing something): He doesn’t have a ghost of a chance of passing the exam this year.
The ghost of something is a very small amount that is difficult to see, hear, feel, etc.