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 tha? ?is ranked first? c?. ?What is the probability that ?C ?is ranked first and ?D ?is ranked last?

Answer : Step 1 : Given An individual is presented with three different glasses of cola, labeled C, D, and P. a) S = { cdp,cpd,dcp,dpc,pcd,pdc}. Since they all contain the same cola, all six outcomes are equally likely with probability 1/6. Step 2 : b). Now we have to find the probability that C is ranked first. The probability that C is ranked first is cdp,cpd. So 2 out of 6 begin with C. P(C ranked first) = P(cdp,cpd) P(C ranked first) = 2 6 P(C ranked first) = 1 3 1 Therefore the probability that C is ranked first 3