The Honeymoon Machine(1961)

Overview:

Lt. Fergie Howard teams up with Lt. Beau Gilliam and Navy scientist Jason Eldridge to turn a supercomputer with missile-tracking capabilities into a tool to predict where a roulette ball will land. They dock in Venice, Italy, and begin making a killing at the casino, but their shore-to-ship signals get misinterpreted as signs of attack by Adm. Fitch, putting a serious crimp in the officers' get-rich-quick scheme.