Question

​Multiple-choice questions each have four possible answers (a comma b comma c comma d )​, one of which is correct. Assume that you guess the answers to three such questions. a. Use the multiplication rule to find ​P(CWW​), where C denotes a correct answer and W denotes a wrong answer.

Answer 1

Answer:

0.140625

Step-by-step explanation:

Given that multiple-choice questions each have four possible answers (a comma b comma c comma d )​, one of which is correct. Assume that you guess the answers to three such questions.

Each question is independent of the other with constant probability

p = Prob for correct guess = 1/4 = 0.25

q = prob for wrong guess = 1-p = 0.75

Hence

$P(CWW)\\= P(C)*P(W)*P(W)$, since each question is independent of the other

=$0.25*0.75*0.75\\= 0.140625$