Question

1. 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%
c. 20%
d. 45%

Explanation:

Step1: Probability for fiction book

Probability of selecting the shortest fiction book: $\frac{1}{5} = 0.2$

Step2: Probability for nonfiction book

Probability of selecting the longest nonfiction book: $\frac{1}{4} = 0.25$

Step3: Combined probability

Multiply the two probabilities: $0.2 \times 0.25 = 0.05$ (5%)

Answer:

A. 5%