THE LOVE BOAT [1977-1986]: Third Season, Episode Twenty-Four: "Dumb Luck." Episode co-stars (among others): Jayne Meadows Allen, James Gregory, and Kevin Tighe. --Originally aired on March 15, 1980. Shelley guest-stars as "Professor Carol Ketay," a nuclear physicist and author. She takes a cruise to relax and meets onboard her old friend Julie McCoy [Lauren Tewes], the ship's cruise director. Julie would like to see "nerdy" Carol loosen up, live it up, and look for love. Her romantic advice ...