Question

A market research company surveyed consumers to determine their ranked preferences of energy drinks among the brands Monster, Red Bull and Rockstar.

a: What are the outcomes of this experiment for one respondent?

b: What is the probability that one respondent will rank Red Bull first?

c: What is the probability that two respondents will both rank Red Bull first?

Answer 1

Answer:

a) MBR,MRB, BMR, BRM, RBM, RMB

b) there are two situations in which red bull is ranked first so probability is 2/6 which is 1/3.

c) The probability that two respondents will choose Red Bull first is (1/3)^2 which is 1 in 9.

Step-by-step explanation:

Each respondent can rank 3 drinks. so it has following outcomes;

MBR,MRB, BMR, BRM, RBM, RMB

R: Rockstar

B: Red Bull

M: Monster

c) one person has probability 1 in 3 so when person twice probability also increase.