Question

A two-way frequency table is shown below that displays the relationship between the region of the country in which people live and the type of music preferred. We took a sample of 193 people and recorded the following results:
              Country Music      Rock      Total
West               26                   15            41
East                24                   22            46
South              7                    33            40
North              41                   25            66
Total               98                   95           193


What is the probability (rounded to the nearest whole percent) that a randomly selected person is from the western region of the country if he or she prefers country music? A. 26%
B. 13%
C. 63%
D. 27%

Answer 1

We are given the data for the number of persons from different areas versus their music preference. We are asked to determine the probability that a person likes country music if he selected is random from the western region.

The total number of persons in the West:

26 + 15 + 41 = 82

Number of persons who like country music = 26

Probability = 26/82 = 0.3171