Question

the two-way table shows the number of books of each type in elizas home.

what is the probability that a randomly selected reference book is hardcover?

0.25
0.4
0.6
0.75

Explanation:

Identify the given values and condition

Using the Two-Way Frequency Tables knowledge point

• Condition: The book is a reference book.
• Total number of reference books (column total): \(25\)
• Number of reference books that are hardcover (intersection of Hardcover and Reference): \(10\)

Calculate the conditional probability

Using the Conditional Probability Calculation knowledge point

$$ P(\text{Hardcover} \mid \text{Reference}) = \frac{10}{25} = 0.4 $$

Answer:

• 0.25
• 0.4 (Correct answer)
• 0.6
• 0.75