A game show contestant comes to the island and can win $10,000 if he can survive one week without outside assistance, so he refuses to let the castaways use his transmitter because he would have to forfeit the prize.
The Professor recreates the Minnow voyage to disprove a Maritime Board charge that The Skipper was responsible for the wreck of the Minnow, but their efforts prove that the person to blame for the wreck is actually Gilligan.
Mr. Howell becomes outraged and jealous when he discovers that a secret admirer is sending letters to Mrs. Howell. But everyone is even more shocked when they discover that he's the one who's sending them.
Gilligan's body conducts electricity after he is struck by lightning with a metal bowling ball in his hand. But when The Professor tries to remove the bowling ball from Gilligan's hand, a second lightning strike makes him invisible.
The castaways try to contact two astronauts in a space capsule orbiting over the island, but they fail. However, they may get a second chance when an unmanned capsule they are trying to make contact with lands on the island.