Suppose there are 8 people who have been interviewed for a taste test. Each person either...
Suppose there are 8 people who have been interviewed for a taste test. Each person either likes brand A or brand B of coffee. How many different outcomes are there for this set of interviews? Justify.
Homework Answers
From the given problem, we find that each person in the sample may answer either brand A or brand B of coffee.
Hence, for the 1st person, the no. of possible outcomes = { A, B } = 21 For 2 persons, the no. of possible outcomes = { AA,AB, BA, BB } = 22 = 4 For 3 persons, the no. of possible outcomes = { AAA, AAB, ABA, BAA, BAB, BBA, ABB, BBB } = 23 = 8
Following the above,
For 8 persons, the no. of possible outcomes = 28 = 256 possible outcomes.
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