Multiple-choice questions each have four possible answers left parenthesis a, b, c, d right (a, b, c, d) , one of which is correct. Assume that you guess the answers to three such questions.

a. Use the multiplication rule to find P (WWC ), where C denotes a correct answer and W denotes a wrong answer.

P (WWC ) =

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

P (WWC ) minus-see above

P (WCW ) =

nothing

P (CWW ) =

c. Based on the preceding results, what is the probability of getting exactly one correct answer when three guesses are made?

Question

11 February, 15:08

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Answers (1)

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Baby Cakes · Answer 1

P (WWC) = 3/4 * 3/4 * 1/4 = 9/64

P (WCW) = 9/64

P (CWW) = 9/64

P (exactly one correct answer) = 9/64+9/64+9/64 = 27/64