Geometry

Question Analysis
This question applies the concept of non - mutually exclusive events to the context of library books.
The main focus is on using the number of books in each category to calculate the individual probabilities and the probability of their intersection, and then applying the appropriate formula.

Key Concept Explanation
For non - mutually exclusive events A (book is fiction) and B (book is written by a local author), the formula is used to find the probability of a book being either fiction or written by a local author, while accounting for the books that fall into both categories.

Step-by-Step Solution
The probability that a book is fiction, .
The probability that a book is written by a local author, .
The probability that a book is both fiction and written by a local author,

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