In this task, you are given a sentence and a profession. The sentence mentions two professions: one's gender is identifiable using the gendered pronouns in the text and the other's gender is unidentifiable. You are expected to return whether the given profession's gender is identifiable or unidentifiable.

Example Input: Sentence: The manager fired the baker because he was too rebellious.
 Profession: manager
Example Output: Unidentifiable

Example Input: Sentence: The nurse called the mechanic and told her which medicine to take.
 Profession: mechanic
Example Output: Identifiable

Example Input: Sentence: The carpenter stopped the housekeeper and helped him.
 Profession: housekeeper
Example Output:
Identifiable