Question

A campus radio station surveyed 258 students to determine the type of music they like. 150 like rock, 104 like

country and 16 like both types of music. What is the probability that a randomly selected student likes rock only?
O 0.5814
O 0.5194
O 0.0620
O 0.8605
O 0.1067
O None of the above.

Answer 1

To find the probability that a randomly selected student likes rock only, we need to subtract the number of students who like both types of music from the number of students who like rock.

The number of students who like rock only is:

150−16=134

Therefore, the probability that a randomly selected student likes rock only is:

134/258​≈0.5194

So, the answer is Option B: 0.5194