Billie hires an odd man as the new pin boy at her bowling alley, but quickly fire him because of his violent outbursts. Only then does she learn he's a murderous psycho who escaped from prison. That's why she's so terrified when he shows up at the alley one night when she's all alone.
While traveling alone in a train compartment, an elderly, wealthy, wheelchair-bound man (Cedric Hardwicke) is confronted by a younger man (David Niven), whom he had double-crossed over twenty years ago. The younger man, now bent on revenge, tells the elderly man that he intends to kill him when the train passes through an upcoming tunnel. A battle of wits ensues.
A teacher wanting to leave his unfulfilling job needs money to write the book he's dreamed of. A stranger enters and makes an unusual offer: $10,000 to take a physical for a dying man so he can get life insurance to take care of his widow when he passes on.
Fresh out of prison, blackmailer Gus Anderson intends to use Willie's casino to launder his victims' money. To insure his cooperation, Gus' thugs are holding one of Willie's waiters hostage. Glamorous singer Betty Maxwell shows up at Dante's, as scheduled, to lose at blackjack and avoid having a risqué photo of her mailed to the tabloids. Knowing that Lt. Waldo will but his casino yet again, Willie invites to cop over to watch Gus violate his parole.
More interested in his career than in his duty as a physician, a noted doctor intentionally misdiagnoses a patient in an Asian city so he could get back to the U.S. and accept a major award. When his wife realizes that he abandoned a town needing his help to fight a Plague outbreak, she demands a divorce.
Actress Grace Markham's job consists of being the stand-in for movie star Marion Clayton. Unable to accept that she's supremely untalented, Grace instead becomes embittered and blames the leading lady's popularity for her own dead-end show business career.