Shelly Tanner's husband Joe is a wealthy industrialist conducting military-sponsored research on Cold War armaments and intelligence gear. To relax, Joe has taken to shooting craps in a high-stakes floating game situated in various Los Angeles locations. He consistently loses serious sums of money, but out of obsession with the idea that his luck has to change, he returns to the game night after night. His beautiful, sexually frustrated wife Shelly sees through the crooked game, but can't convince Joe to stop throwing his money away. In desperation she drives to Las Vegas to enlist the aid of casino detective Barney Conroy.