not a Chinaman's chance
Also, not a ghost of a chance. See under Chinaman's chance.
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How to use not a Chinaman's chance in a sentence
With chemotherapy, her doctors give her at least an 80 percent chance of survival.
ROME — What does it take for a Hollywood A-lister to get a private audience with Pope Francis?Pope Francis Has the Pleasure of Meeting Angelina Jolie for a Few Seconds|Barbie Latza Nadeau|January 8, 2015|DAILY BEAST
At the moment, the only chance I get is when I go do Late Night with Seth Meyers.Coffee Talk with Fred Armisen: On ‘Portlandia,’ Meeting Obama, and Taylor Swift’s Greatness|Marlow Stern|January 7, 2015|DAILY BEAST
Is there any chance the potential 2016 hopeful will stand up to the right and embrace paid sick leave?
Yes, Byrd—dead four-and-a-half years now—was a Kleagle in the Ku Klux Klan.Steve Scalise and the Right’s Ridiculous Racial Blame Game|Michael Tomasky|January 2, 2015|DAILY BEAST
If you throw away this chance, you will both richly deserve to be hanged, as I sincerely trust you will be.The Posthumous Papers of the Pickwick Club, v. 2(of 2)|Charles Dickens
Now-a-days it is the bankrupt who flouts, and his too confiding creditors who are jeered and laughed at.Glances at Europe|Horace Greeley
He felt himself the meanest, vilest thing a-crawl upon this sinful earth, and she—dear God!St. Martin's Summer|Rafael Sabatini
All that scientific bric-a-brac in the cupboard had far better be thrown away.The Salvaging Of Civilisation|H. G. (Herbert George) Wells
Instead of giving you a chance to say, "He has made a mistake," he forced you to say, "He has shown how to get out of a mistake."Music-Study in Germany|Amy Fay