Question

New car owners were asked to evaluate their experiences in buying a new car during the past 12 months. In the survey, the owners indicated they were most satisfied with their experiences at the following three dealers (in no particular order): Subaru, Honda, and Buick. Assuming that each set of rankings is equally likely, what is the probability that owners ranked Subaru first?

Answer 1

The probability that owners ranked Subaru first is 1/3

Explanation:

Consider the provided information.

In the survey, the owners indicated they were most satisfied with their experiences at the following three dealers (in no particular order): Subaru, Honda, and Buick.

Let S represents Subaru, H represents Honda , and B represents Buick

Therefore the sample space can be written as:

{SHB, SBH, HSB, HBS, BHS, BSH}

The total no of ways in which the 3 cars can be ranked is 6

Now we need to find the probability that owners raked Subaru first

No of ways in which Subaru can be ranked 1st = 2

Hence, the required probability is:
`(2)/(6)=(1)/(3)`