Which type of pronoun is used in the following sentence? it was nobody's fault.

nobody's would be the correct answer i believe. not 100% sure tho.

themselves

an intensive pronoun is a pronoun that ends in self or selves, such as himself, herself, themselves, yourself, ourselves. since band members is a third person plural, the correct intensive pronoun would be themselves. if the band was talked about as a collective noun, itself would be the appropriate intensive pronoun. intensive pronouns are used to add emphasis to the noun it's modifying which is why it directly follows it.

marriage difficulties adversely affect parent-child communication