Randall adjusts to the foster system. Kate and Toby take the next step in their relationship. Kevin visits Sophie in New York. Jack and Rebecca finalize Randall’s adoption.

Amy and Sheldon’s relationship takes a surprising turn during a game of “Dungeons & Dragons”; Lucy and Koothrappali have an awkward date.

Leonard is aghast to find out a secret of Penny’s: she believes in psychics. Meanwhile, Sheldon tries to assist Koothrappali in picking up a girl at a university mixer.