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?

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.