A two-way frequency table is shown below that displays the relationship between the region of the country in which people live a
nd 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%
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.
Let the number be x, (1/2)x=1+(1/3)x Solving for x, (1/2)x-(1/3)x=1+(1/3)x-(1/3)x (1/2)x-(1/3)x=1 (1*3/6)x-(1*2/6)x=1 (3/6)x-(2/6)x=1 (1/6)x=1 6*(1/6)x=6*1 Therefore, x=6
