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An individual is presented with three different glasses of cola, labeled C, D, a

ID: 3245626 • Letter: A

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. What are the simple events in this ranking experiment? (Enter your answer in set notation.) (No Response) What probability would you assign to each one? The probability of an individual event where D is ranked first is 1/12. The probability of another individual event is 1/4. All of the simple events have the same probability, 1/6 It is impossible to determine the probability of the simple events with the given information. All of the simple events have the same probability, 1/3. The probability of an individual event where D is ranked first is 1/5. The probability of another individual event is 1/15. What is the probability that C is ranked first? No Response What is the probability that C is ranked first and D is ranked last?) No Response

Explanation / Answer

A,Band C can be arranged in 3! = 6 ways

sample space = {DPC,DCP,PDC,PCD,CDP,CPD}

probability of each event = 1/ 6

option C ) is correct

b) probbaility that C is ranked first = 2/6 =0.3333333 =0.334

c)probability tha C is ranked first and D is ranked last = 1

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