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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%

Apr 23, 2018

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A lot of the information contained in the two-way frequency table is extraneous and not relevant to the actual question at hand. In order to answer this question, we must figure out which group to sample. "if he or she prefers country music" is important; it tells us that I only care people who prefer country music. I do not want to take a sample from people who prefer rock music, for example, because that does not fit the original condition.

Therefore, $$\frac{26}{98}=27\%$$ is what the question is looking for.

Apr 23, 2018