Question

a music collection includes 18 rock cds, 13 country cds, 6 classical cds, and 5 hip hop cds.
a. what is the probability that a cd randomly selected from the collection is a classical cd?
b. what is the probability that a cd randomly selected from the collection is not a classical cd?
a. the probability is \\(\square\\) that a randomly selected cd is a classical cd.
(simplify your answer.)

Explanation:

Step1: Calculate total number of CDs

First, we find the total number of CDs by adding the number of each type: \(18 + 13 + 6 + 5\).
\(18+13 = 31\), \(31 + 6 = 37\), \(37 + 5 = 42\). So total CDs \(n = 42\).

Step2: Find number of classical CDs

The number of classical CDs \(m = 6\).

Step3: Calculate probability

Probability \(P=\frac{m}{n}=\frac{6}{42}=\frac{1}{7}\).

Answer:

\(\frac{1}{7}\)