Joe "the Greek" Adams (Cary Grant) is a gambler and grifter with a couple of problems. First, he and his treacherous partner Zepp (Paul Stewart) have received draft notices to join the army in preparation for World War II. But he has a solution for this – one of his underlings, Joe Bascopolous, has just died, and his status was 4F (unfit to serve). So one of them can dodge the draft by assuming his identity. They gamble for it; Zepp cheats, but Joe still wins. Zepp fails his physical examination anyway.