A psychology test consists of multiple-choice questions, each having 4 possible answers (a, b, c, d), 1
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A psychology test consists of multiple-choice questions, each having 4 possible answers (a, b, c, d), 1 of which is correct. Assume that you guess the answers to 6 such questions.
a. Use the multiplication rule to find the probability that the first 2 guesses are wrong and the last 4 guesses are correct. That is, find P (WWCCCC), where C denotes a correct answer and W denotes a wrong answer.
b. Beginning with WWCCCC, make a complete list of the different possible arrangements of 2 wrong answers and 4 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 4 correct answers when 6 guesses are made?
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