Lucky and Andamo, penniless, crash a costume party aboard an enormous yacht, and Lucky turns it into a floating casino, the Fortuna II.

A woman devises an elaborate blackmail scheme to obtain money from her rich ex-employer to pay off a gambling debt to Mr. Lucky.

An insurance company is after Maggie to give her money inherited from an uncle, right after Mr. Lucky puts her into hiding since she witnessed a mob killing.

A gangster is pressuring a comedian who works on the Fortuna to quit his job.

A known criminal tries stronger tactics when Mr. Lucky refuses to sell him the Fortuna for a ridiculous price.