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

Lucky is on the lookout for counterfeit money when the police inform him that phony bills are being put into circulation from the Fortuna's port.

A pair of smugglers board the Fortuna, one to distract Mr. Lucky while the other hides gems on board.

A lawyer in a custody battle over his daughter tries to smuggle her out of the country on the Fortuna.

Lucky hires himself a hit man to find out who is trying to kill him.

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

Thieves seem particularly interested in stealing a check a lady gave Mr. Lucky to pay off a large gambling debt.

Mr. Lucky gets some legal problems when he tries to intervene with the police, who are throwing his salad chef in prison for parole violations.

Lucky is challenged to a high stakes game of pool by a gambler who brings a pair of thugs with him to insure that he wins.

An ex-convict who can't handle the outside world seeks Mr. Lucky's help in returning to prison.

A wartime buddy sends Mr. Lucky a hideous painting for a birthday gift which the artist desperately wants back.

The police inform Mr. Lucky that they can't go after three elderly men who robbed the Fortuna, since it was outside the three mile limit when the crime occurred.

After Lucky decides to change the Fortuna from a gambling casino to a supper club, a woman who Lucky rescues when she attempts suicide asks him for a very large loan.

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

A businessman under investigation for tax fraud tries to place a similar rap on Mr. Lucky to keep the IRS investigator busy until he can fix his own books.

Lucky holds a charity boxing match on board the Fortuna.

Bandits set out to frame Mr. Lucky when he turns down their request to use the Fortuna as a getaway vehicle.

Lucky runs for city council to try to oust the criminals who run the town.

Lucky is accused of a hit-and-run murder when he loans his car to a friend.

A bungling waiter shows his appreciation by robbing Mr. Lucky after Lucky decides to give him one last chance instead of firing him.

Mr. Lucky is informed that money he won gambling with a scar-faced man was stolen from a race track.

Andamo falls for a lady who boards the Fortuna in an effort to stop gambling there.

A runaway heiress stows away on board the Fortuna, but a peculiar man is pursuing her.

A man who lost a large bet to Lucky over the outcome of a South American election tries to kill Mr. Lucky to avoid paying the debt.

Mr. Lucky and his associate Andamo are forced to abandon their casino in Andamo's island country when the corrupt president learns that their yacht, the Fortuna, has been used by a group of revolutionaries to bring in arms.