Anchor: She also retains a sense of humor about her plight--these days, she jokes, she can make any small company famous by wearing its logo on a baseball cap.
Entailed: She thinks that she can make a company famous by wearing their logo. 
Contradiction: She can't make any companies famous, she is a nobody. 
Contradiction: Some girls play chess.
Contradiction: The bus has at least one person on it.
Contradiction: You may only choose one of two tartans depending on your gender.
Contradiction: the man is entertaining people