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                           general:: 
                            Phrase(s): on the off chance 
because of a slight possibility that something may happen or might be the case; just in case.  •  I went to the theater on the off chance that there were tickets for the show left.  •  We didn’t think we would get into the football game, but we went on the off chance.
                        
                        
 
                        
                            McGrawhill's American Idioms And Phrasal Verbs