Answer with explanation:
Given : The number of energy drink's brands = Monster, Red Bull, and Rockstar.
a. The possible outcomes of this experiment for one respondent :-
{(Red bull, Monster , Rockstar),(Red bull, Rockstar, Monster ),(Monster, Red Bull, and Rockstar), (Monster, Rockstar, Red Bull), (Rockstar, Monster, Red Bull), (Rockstar , Red Bull, Monster)}
b. Total number of outcomes = 6
Number of outcomes where Red Bull ranked first =2
The probability that one respondent will rank Red Bull first will be :-
[tex]=\dfrac{2}{6}=\dfrac{1}{3}[/tex]
c. Since each respondent is independent of each other.
The probability that two respondents will both rank Red Bull first will be :-
[tex](\dfrac{1}{3})^2=\dfrac{1}{9}[/tex]
