Question

An individual is presented with three different glasses of cola, labeled C, D, and P. He is asked to taste all three and then list them in order of preference. Suppose the same cola has actually been put into all three glasses.

(a) What are the simple events in this ranking experiment, and what probability would you assign to each one?

(b) What is the probability that C is ranked first?

(c) What is the probability that C is ranked first and D is ranked last?

Answer 1

solution

(a) What are the simple events in this ranking experiment, and what probability would you assign to each one?

=>S={(CDP),(PDC),(CPD),(PCD),(DPC),(DCP)}

and P(each one )=1/6

(b) What is the probability that C is ranked first?

=>P(\( C^{1st} \))=2/6=1/3

(c) What is the probability that C is ranked first and D is ranked last?

P(\( C^{1st} \) and \( D^{3rd} \))=1/6

Answer

(a). P(each one )=1/6

(b). P(\( C^{1st} \) )=1/3

(b). P(\( C^{1st} \) and \( D^{3rd} \))=1/6