TASK DEFINITION: You are given a context, a pronoun, and a noun in this task. The given pronoun is shown in the context within parentheses. You should determine if the pronoun refers to the given noun or not. Please answer with "True" and "False".
PROBLEM: Mark told Pete many lies about himself, which Pete included in his book. (He) should have been more truthful. <sep> Pronoun:He <sep> Noun: Pete

SOLUTION: False

PROBLEM: The storekeepers stayed in town to run their stores and lived in the rooms behind (them) . <sep> Pronoun:them <sep> Noun: rooms

SOLUTION: False

PROBLEM: Alice looked for her friend Jade in the crowd. Since (she) always has good luck, Alice spotted her quickly. <sep> Pronoun:she <sep> Noun: Alice

SOLUTION:
True