Question: Guessing Answers: A test consists of multiple choice questions, each having 4 possible answers (a,b,c,d); with only one choice as correct. Assume that you guess the answers to 6 of these questions.

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

b. Beginning with WWCCCC, make a list of all different arrangements of two wrongs and 4 correct and find the probability for each arrangement in the list.

c. What is the probability of getting exactly four consecutive answers when six guesses are made?