Finding probability when guessing answers.
Atest comprises multiple- choice problems each having 4 possible answers (a,b,c,d) one of which is correct. Suppose that you guess the answers to 6 such problems.
a. Employ the multiplication rule to find out the probability that the first 2 guesses are worng and last four guesses are correct. That is , find p(WWCCCC), where C denotes the correct answer and W denotes wrong answer.
b. Beginning with the WWCCCC, make a complete list of different possible arrangements of 2 wrong answers and 4 correct answers, then find out the probability for each entry in list.
c. Based upon the preceding results, find out the probability of getting exactly 4 correct answers when 6 guesses are made?