A bookstore manager will randomly select 1 of 5 newly arrived fiction books and 1 of 4 newly arrived nonfiction books for a window display. What is the probability that the manager will select the shortest of the newly arrived fiction books and the longest of the newly arrived nonfiction books?
A. \( 5 \% \)
B. \( 10 \% \)

Answer

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Answer

\( P(\text{shortest fiction and longest nonfiction}) = 5 \% \)

Steps

Step 1 ：\( P(\text{shortest fiction and longest nonfiction}) = \frac{1}{5} \times \frac{1}{4} \)

Step 2 ：\( P(\text{shortest fiction and longest nonfiction}) = \frac{1}{20} \)

Step 3 ：\( P(\text{shortest fiction and longest nonfiction}) = 5 \% \)