14. Finding Probabilities When Guessing Answers A test consists of multiple-choice questions, each having four possible answers

(a,

b, c, d), one of which is correct. Assume that you guess the answers to six such questions.

a. Use the multiplication rule to find the probability that the first two guesses are wrong and the last four guesses are correct. That is, find P(WWCCCC), where C denotes a correct answer and Wdenotes a wrong answer.

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

c. Based on the preceding results, what is the probability of getting exactly four correct answers when six guesses are made?