From Longman Dictionary of Contemporary English(not) a ghost of a chance(not) a ghost of a chanceCHANCE/OPPORTUNITYnot even a slight chance of doing something, or of something happening They don’t stand a ghost of a chance of winning. → ghost
Examples from the Corpus
(not) a ghost of a chance• Is there a ghost of a chance that any of these stories are true? 