[Solution Library] Two randomly selected grocery store patrons are each asked to take a blind taste test and to then state which of three diet colas (marked as
Question: Two randomly selected grocery store patrons are each asked to take a blind taste test and to then state which of three diet colas ( marked as A, B, or C) he or she prefers.
- Draw a tree diagram depicting the sample space outcomes for the test results.
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List the sample space outcomes that correspond to each of the following events:
- Both patrons prefer diet cola A.
- The two patrons prefer the same diet cola.
- The two patrons prefer different diet colas.
- Diet cola A is preferred by at least one of the two patrons.
- Neither of the patrons prefers diet cola C.
- Assuming that all sample space outcomes are equally likely, find the probability of each of the events given in part B.
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