Question: Multiple choice questions each have five 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 the probability that the first two guesses are wrong and the third is correct. Find P(WWC), where C denotes a correct answer and W denotes a wrong answer.

B. Beginning with WWC, make a complete list of different possible arrangements of 2 wrong and 1 correct. Find the probability for each entry in the list.

C. Based on the proceeding results, what is the probability of getting exactly one correct answer when three guess are made?