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".

[Q]: Jackson was greatly influenced by Arnold , though (he) lived two centuries earlier. <sep> Pronoun:he <sep> Noun: Arnold
[A]: True


[Q]: Tom threw his schoolbag down to Ray after (he) reached the top of the stairs. <sep> Pronoun:he <sep> Noun: Ray
[A]: False


[Q]: Fred and Alice had very warm down coats , but (they) were not enough for the cold in Alaska. <sep> Pronoun:they <sep> Noun: Fred and Alice
[A]:
False