Answer to Question #81921 in English for Cartoon

Question

If i were in her position, i ____ look for a job.
What will be the answer of the gap?
1)would
2) Might
(I found the ans to be 'might' in a book but why this will be ans? I m not understanding)

Answer 1

The word “would” is used to indicate past repetition and a possibility, the word “might” is used to make requests and to indicate a possibility which conflicts with the fact.