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.

1. 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.
2. 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.
3. What is the probability of getting exactly four consecutive answers when six guesses are made?

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