An individual is presented with three different glasses of c

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? (Enter your answer in set notation.)


What probability would you assign to each one?
All of the simple events have the same probability, 1/3

.It is impossible to determine the probability of the simple events with the given information.     All of the simple events have the same probability, 1/6

.The probability of an individual event where D is ranked first is 1/5

. The probability of another individual event is 1/15

The probability of an individual event where D is ranked first is 1/12

. The probability of another individual event is 1/4

.
(b) What is the probability that C is ranked first? (Round your answer to three decimal places.)


(c) What is the probability that C is ranked first and D is ranked last? (Round your answer to three decimal places.)

Solution

All of the simple events have the same probability, 1/6

As 3 can be arranged in 6 different orders.

b) Prob (C ranked first) = 2/6 = 1/3

c) Prob ( c ranked first and D last ) = PRob (CPD)

= (1/3)(1/2) = 1/6