Question

A music collection includes 13 rock CDs, 14 country CDs, 4 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?

Answer 1

total number of cds: 36

a. What is the probability that a CD chosen at random from the collection is a classical music CD?

number of classical CDs/total number of CDs

4/36 =1/9

b. What is the probability that a CD chosen at random from the collection is not a classical CD?

number of CDs that are not classical = 13+14+5=32

probability that a CD chosen at random from the collection is not a classic CD:32/36 =8/9

Step-by-step explanation:

Answer 2

a. The probability of selecting a classical CD is 1/9. b. The probability of selecting a CD that is not classical is 8/9.

Step-by-step explanation:

a. The probability of selecting a classical CD from the collection is calculated by dividing the number of classical CDs by the total number of CDs in the collection. In this case, there are 4 classical CDs and a total of 13 + 14 + 4 + 5 = 36 CDs in the collection. Therefore, the probability is 4/36, which simplifies to 1/9.

b. The probability of selecting a CD that is not classical can be calculated by subtracting the probability of selecting a classical CD from 1. In this case, the probability of selecting a classical CD is 1/9, so the probability of selecting a CD that is not classical is 1 - 1/9 = 8/9.