A bookstore has 150 books on a sale shelf: 60 are hardcover, 70 are fiction, and 30 are hardcover fiction books. What is the probability a randomly selected book is hardcover or fiction?
Options
A
B
C
D
Answer & Analysis
Answer
A
Analysis
Question Analysis
This question involves calculating the probability of non-mutually exclusive events in a bookstore setting.
The main focus is applying the union formula using counts of hardcover books (A) and fiction books (B).
Key Concept Explanation
For non-mutually exclusive events, the formula accounts for overlapping elements (hardcover fiction books) to avoid double-counting.
The intersection must be subtracted from the sum of individual probabilities.
Step-by-Step Solution
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