Poirot and Hastings are in Deauville, and Poirot is approached by business-man Paul Renaud concerning threats by Chileans. The next morning the maid finds Madame Renaud bound and gagged and her husband's corpse is later found on a nearby golf course. Giraud, a pompous French police officer, dismissive of Poirot's reputation, lays a wager with him. The detective who fails to catch the killer must make a sacrifice. Giraud will relinquish his trade mark pipe. Poirot must shave off his moustache