Question: Multiple-choice questions each have 5 possible answers (a, b, c, d, e), one of which is correct. Assume that you guess the answers to three such questions.

a. Use the multiplication rule to find P(WCW), where C denotes a correct answer and W denotes a wrong answer

P(WCW)=?

b. Beginning with WCW, make a complete list of the different arrangements of one correct answer and two wrong answers, then find the probability for each entry in the list.

P(WCW)-see above

P(CWW)=?

P(WWC)=?

c. Based on the preceding results, what is the probability of getting exactly one correct answer when three guesses are made?