A slight but unlikely possibility. After I heard that a Harvard graduate applied for the same job I did, I knew that I didn't have a ghost of a chance of getting hired.Even though he knows he only has a ghost of a chance of winning the lottery, he still buys tickets every week.
even the slightest chance. (Usually negative.) She can't do it. She doesn't have a ghost of a chance.There is just a ghost of a chance that I'll be there on time.