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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, and what probability would you assign to each one?

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Answer:

The correct answer is:

the simple events are { cdp,cpd,dcp,dpc,pcd,pdc} and the probability is 1/6.

Explanation:

Since they all contain the same cola, all six outcomes are equally likely with probability 1/6.

The probability that C is ranked first is : P(C ranked first) = P({cdp,cpd}) = 1/3.

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